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 55.25 1.03 53.64 0.000 Shoe Size 0.17 0.000 1.163 2.577 Gender 0.485 5.31 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 a = 0.05.) The regression coefficient of shoe size --Select--- statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size ---Select---belong in the model. (d) Interpret the regression coefficient of Gender. Males are inches taller than females, on average, controlling for shoe size.
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 55.25 1.03 53.64 0.000 Shoe Size 0.17 0.000 1.163 2.577 Gender 0.485 5.31 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 a = 0.05.) The regression coefficient of shoe size --Select--- statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size ---Select---belong in the model. (d) Interpret the regression coefficient of Gender. Males are inches taller than females, on average, controlling for shoe size.
Chapter4: Linear Functions
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Transcribed Image Text: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
T-Value
P-Value
Constant
55.25
SE Coef
1.03
0.17
53.64
0.000
Shoe Size
1.163
0.000
Gender
2.577
0.485
5.31
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 α = 0.05.)
The regression coefficient of shoe size ---Select---
statistically significant.
(c) Does the variable shoe size belong in the model?
The variable shoe size ---Select---belong in the model.
(d) Interpret the regression coefficient of Gender.
Males are
inches taller than females, on average, controlling for shoe size.
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