Question 1. The following Excel results come from a regression model to predict GPA based not only on TVtime, but also on whether the student is a native Texan and his/her height. Coef. Intercept 4.310 TV Time 0.00231 Native TX 0.325 Height -0.221 Std.Errort Stat P-value 3.306 0.002 1.320 0.194 3.316 0.002 -0.993 0.327 1.304 0.00175 0.098 0.223 (a) Based on these results, do you think that all three explanatory variables are useful to have in this predictive model? Why or why not? If you had to choose, which one(s) would you remove - and why? (b) Based on the outputs provided, what is the p-value of a test of the hypothesis that native Texans average 0.6 point (rather than 0.325) higher GPA, assuming 44 students responded to the survey?
Question 1. The following Excel results come from a regression model to predict GPA based not only on TVtime, but also on whether the student is a native Texan and his/her height. Coef. Intercept 4.310 TV Time 0.00231 Native TX 0.325 Height -0.221 Std.Errort Stat P-value 3.306 0.002 1.320 0.194 3.316 0.002 -0.993 0.327 1.304 0.00175 0.098 0.223 (a) Based on these results, do you think that all three explanatory variables are useful to have in this predictive model? Why or why not? If you had to choose, which one(s) would you remove - and why? (b) Based on the outputs provided, what is the p-value of a test of the hypothesis that native Texans average 0.6 point (rather than 0.325) higher GPA, assuming 44 students responded to the survey?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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Transcribed Image Text:Question 1. The following Excel results come from a regression model to predict GPA based not only on
TVtime, but also on whether the student is a native Texan and his/her height.
Coef.
Intercept 4.310
TV Time
Std.Error t Stat
1.304
0.00231
0.00175
Native TX
0.325
0.098
Height -0.221 0.223
P-value
3.306 0.002
1.320 0.194
3.316 0.002
-0.993 0.327
(a) Based on these results, do you think that all three explanatory variables are useful to have in this
predictive model? Why or why not? If you had to choose, which one(s) would you remove - and
why?
(b) Based on the outputs provided, what is the p-value of a test of the hypothesis that native Texans
average 0.6 point (rather than 0.325) higher GPA, assuming 44 students responded to the survey?
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