Perform an F-Test for Lack of Fit
-A Gym Teacher $95 \%$

question 37

Multiple Choice

Perform an F-test for Lack of Fit
-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 null hypothesis that all coefficients are zero at the $95 \%$ confidence level.

• A) Reject the null hypothesis.
• B) Fail to reject the null hypothesis.
• C) The probability plot of residuals indicates non-normality of residuals so the hypothesis test is inconclusive.
• D) The probability plot of residuals indicates normality of residuals so the hypothesis test is inconclusive.

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Definitions:

Reselling

The act of selling again or selling something that has already been sold or owned, often seen in markets for goods like tickets, merchandise, and real estate.

Average Total Costs

The average cost for each unit produced, found by dividing the full cost of production by the quantity of units produced.

Elastic Demand

A situation where the demand for a product or service significantly changes in response to price changes.

Net Revenues

The amount of income that remains after subtracting all expenses, taxes, and costs related to the revenue-generating activities.