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

question 28

Multiple Choice

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".

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Definitions:

Commoditized

When a product becomes indistinguishable from others like it on the market and competes mainly on price.

Differentiation

The method of differentiating a product or service to make it appeal more to a specific target audience.

Utility

The total satisfaction or benefit derived from consuming a good or service.

Convenience

The aspect of a product or service that relates to the ease of use and the degree to which it saves time and effort for the consumer.