MATH 533 Week 6 Addendum; Homework-Quiz Review

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Mike Mentzer

Category

Mathematices

Course

MATH 533 Applied Managerial Statistics

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DeVry

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6

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Week 6 ADDENDUM – Homework/Quiz Review These are some additional notes that might help with the homework and quiz. You can skip #16 in the homework and #9 and #10 in the quiz. Everyone will be given credit. The problems look something like this: In the regression equation, ŷ = 5.23 + 2.74x, and n = 24, the mean of x is 12.56, SSxx = 55.87 and Se = 10.71. A 90% prediction interval for y when x = 11 is . Review definitions and concepts in the notes. We are developing a regression model to predict weight as function of height. What is the explanatory variable (independent variable)? Answer: height What is the response variable (dependent variable)? Answer: weight In the following regression: ŷ = 27.7 + 3.25x What is the slope? Answer: 3.25 What is the y-intercept? Answer: 27.7 Use the following data to construct a regression model: X 27 34 23 17 18 Y 5 14 8 2 5 Answer: ŷ = -6.61 + 0.56x 27 5 34 14 23 8 17 2 18 5 Independent (x) Dependen t (y) 0.563655 -6.614990 0.864555 0.747456 2.640119 Slope (β1) y-Intercept (β0) Correlation Coefficient (r) Coefficient of Determination (r2) Standard Error 16 14 12 10 8 6 4 2 0 0 R² =20.08 406080100120140 1506219489884For the following scatter plot and regressionline, at x=26, is the residual negative, positive or zero?

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