Introduction to Probability and Statistics
Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 12.6, Problem 12.36E

(a)

To determine

To explain: Whether any pattern other than a linear relation-ship is seen in the original plot.

(b)

To determine

To explain: the information about the fit of the regression line where the value of r2 is .959

(c)

To determine

To explain: whether there is any pattern in the residuals and explain whether the relationship between the number of months and the number of books written is something other than linear

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The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender = 1 for males and 0 for females. Regression Analysis: Height Versus Shoe Size, Gender Coefficients Term Coef SE Coef T-Value P-Value Constant 55.26 1.08 51.17 0.000 Shoe Size 1.167 0.17   0.000 Gender 2.578 0.482 5.35 0.000 (a) Find the value of the test statistic for shoe size. (Round your answer to two decimal places.) t = ?? (b) Is the regression coefficient of shoe size statistically significant? (Use ? = 0.05.) The regression coefficient of shoe size   is/is not  statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size  may/may not    belong in the model. (d) Interpret the regression coefficient of Gender. Males are (??) inches taller than females, on average, controlling for shoe size.
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ?X is the age of the crab in months and ?ˆY^ is the predicted value of ?Y, the size of the male crab in cm. ?ˆ=9.5603+0.3976?Y^=9.5603+0.3976X   What is the value of ?ˆY^ when a male crab is 24.9118 months old? Provide your answer with precision to two decimal places. Y=

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Introduction to Probability and Statistics

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