Test Individual Regression Coefficients for Significance
-A gym teacher uses three exercises to increase arm strength: push-ups, pull-ups, and rope climbing. He has 10 students in small class. The exercises consist of doing as many push-ups as possible in 2 minutes. After a rest the student does as many push-ups as possible in 2 minutes. After a rest the student climbs a rope and the time is recorded in seconds. The data for this class is given below. Test the significance of the individual predictor variables at $\alpha = 0.05$.

A) Consider removing the variable "Pull-ups" because it is not a good predictor of "Rope Climb Time".
B) Both explanatory variables have a significant linear relationship with the response variable.
C) Consider removing the variable "Push-ups" because it is not a good predictor of "Rope Climb Time".
D) Consider removing both variables because neither is a good predictor of "Rope Climb Time".

Question

Test Individual Regression Coefficients for Significance
-A gym teacher uses three exercises to increase arm strength: push-ups, pull-ups, and rope climbing. He has 10 students in small class. The exercises consist of doing as many push-ups as possible in 2 minutes. After a rest the student does as many push-ups as possible in 2 minutes. After a rest the student climbs a rope and the time is recorded in seconds. The data for this class is given below. Test the significance of the individual predictor variables at $\alpha = 0.05$.

A) Consider removing the variable "Pull-ups" because it is not a good predictor of "Rope Climb Time". 
B) Both explanatory variables have a significant linear relationship with the response variable. 
C) Consider removing the variable "Push-ups" because it is not a good predictor of "Rope Climb Time". 
D) Consider removing both variables because neither is a good predictor of "Rope Climb Time".

Quizplus · Accepted Answer

The Answer of Test Individual Regression Coefficients for Significance
-A gym teacher uses three exercises to increase arm strength: push-ups, pull-ups, and rope climbing. He has 10 students in small class. The exercises consist of doing as many push-ups as possible in 2 minutes. After a rest the student does as many push-ups as possible in 2 minutes. After a rest the student climbs a rope and the time is recorded in seconds. The data for this class is given below. Test the significance of the individual predictor variables at $\alpha = 0.05$.

A) Consider removing the variable "Pull-ups" because it is not a good predictor of "Rope Climb Time". 
B) Both explanatory variables have a significant linear relationship with the response variable. 
C) Consider removing the variable "Push-ups" because it is not a good predictor of "Rope Climb Time". 
D) Consider removing both variables because neither is a good predictor of "Rope Climb Time".

Test Individual Regression Coefficients for Significance -A Gym Teacher Uses α=0.05\alpha = 0.05α=0.05

Test Individual Regression Coefficients for Significance
-A Gym Teacher Uses $\alpha = 0.05$