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MATH 533 Week 6 Homework Problems..

$20
Contributor
Mike Mentzer
Category
Mathematices
Course
MATH 533 Applied Managerial Statistics
Institute
DeVry
Pages
6
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A numerical measure that indicates the strength of relationship between matched observations the correlation coefficient Determine the Pearson product-moment correlation coefficient for the following data. x y 1 9 11 4 9 5 8 5 4 7 3 7 -0.936 Independent (x) Dependent (y) 1 1.00 9.00 2 11.00 4.00 3 9.00 5.00 4 8.00 5.00 5 4.00 7.00 6 3.00 7.00 7 2.00 10.00 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Given a set of paired data, {X, Y}, if Y is independent of X, you would expect that the correlation c zero A quality manager is developing a regression model to predict the total number of defects as a f day of week In the equation y = m x + b, which represents a straight lime, m is the slope of the line If the relationship between y and x is given by the equation y = 1.57 + 0.0407 x, the slope coeffi for every unit increase in x, y increases by 0.0407 The following regression model was fitted to sample data with 12 observations: = 30 + 4.50x. W 4.5 A hospital administrator developed a regression line, y = 30 + 2x, to predict y = the number of ful for a unit increase in t

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MATH 533 Week 7 Course Project, Final Part C; Regression and Correlation Analysis
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 977 limit 1
        300μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 977
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 977 and `products`.`deleted_at` is null limit 1
        410μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 977
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 977 and `product_categories`.`product_id` is not null
        280μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 977
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 978 limit 1
        240μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 978
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 978 and `products`.`deleted_at` is null limit 1
        410μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 978
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 978 and `product_categories`.`product_id` is not null
        370μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 978
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 979 limit 1
        420μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 979
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 979 and `products`.`deleted_at` is null limit 1
        430μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 979
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 979 and `product_categories`.`product_id` is not null
        360μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 979
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 980 limit 1
        390μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 980
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 980 and `products`.`deleted_at` is null limit 1
        460μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 980
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 980 and `product_categories`.`product_id` is not null
        380μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 980
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 981 limit 1
        400μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 981
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 981 and `products`.`deleted_at` is null limit 1
        400μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 981
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 981 and `product_categories`.`product_id` is not null
        390μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 981
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 982 limit 1
        380μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 982
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 982 and `products`.`deleted_at` is null limit 1
        450μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 982
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 982 and `product_categories`.`product_id` is not null
        350μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 982
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 983 limit 1
        380μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 983
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 983 and `products`.`deleted_at` is null limit 1
        440μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 983
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 983 and `product_categories`.`product_id` is not null
        390μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 983
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 984 limit 1
        400μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 984
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 984 and `products`.`deleted_at` is null limit 1
        420μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 984
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 984 and `product_categories`.`product_id` is not null
        400μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 984
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 985 limit 1
        390μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 985
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 985 and `products`.`deleted_at` is null limit 1
        480μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 985
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 985 and `product_categories`.`product_id` is not null
        390μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 985
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 986 limit 1
        450μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 986
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 986 and `products`.`deleted_at` is null limit 1
        540μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 986
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 986 and `product_categories`.`product_id` is not null
        460μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 986
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 987 limit 1
        460μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 987
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 987 and `products`.`deleted_at` is null limit 1
        520μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 987
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 987 and `product_categories`.`product_id` is not null
        420μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 987
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 988 limit 1
        460μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 988
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 988 and `products`.`deleted_at` is null limit 1
        500μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 988
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 988 and `product_categories`.`product_id` is not null
        460μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 988
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 989 limit 1
        440μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 989
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 989 and `products`.`deleted_at` is null limit 1
        490μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 989
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 989 and `product_categories`.`product_id` is not null
        460μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 989
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        480μsthesagf1_secgracustview.blade.php#249
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        500μsthesagf1_secgracustview.blade.php#276
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        460μsthesagf1_secgracustview.blade.php#278
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        460μsthesagf1_secgracustview.blade.php#249
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        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        520μsthesagf1_secgracustview.blade.php#276
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        460μsthesagf1_secgracustview.blade.php#278
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        560μsthesagf1_secgracustview.blade.php#276
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        510μsthesagf1_secgracustview.blade.php#278
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        540μsthesagf1_secgracustview.blade.php#276
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        500μsthesagf1_secgracustview.blade.php#249
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Bindings
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        Backtrace
        • 16. view::product.view:276
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Bindings
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        Backtrace
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        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        430μsthesagf1_secgracust
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        320μsthesagf1_secgracust
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        300μsthesagf1_secgracust
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      App\Models\ProductImage
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