Question

A baseball enthusiast carried out a simple linear regression to investigate whether there is a linear relationship between the number of runs scored by a player and the number of times the player was intentionally walked. Computer output from the regression analysis is shown.

Answer 1

From the output in this linear regression, the best appropriate test statistic for the question is t= 0.50/0.037.

What is a test statistic?

This is a statistical number that is usually gotten from the statistical testing of a research hypothesis.

The test statistic in this question is gotten by

t = Estimate/SE

SE = standard error

t =  0.50/0.037

Complete question:

A baseball enthusiast carried out a simple linear regression to investigate whether there is a linear relationship between the number of runs scored by a player and the number of times the player was intentionally walked. Computer output from the regression analysis is shown.

Let β represent the slope of the population regression line used to predict the number of runs scored from the number of intentional walks in the population of baseball players. A t-test for a slope of a regression line was conducted for the following hypotheses.

H0:β=0

Ha:β≠0

What is the appropriate test statistic for the test?

answer choices

t = 16/2.073

t = 16/0.037

t = 0.50/0.037

t = 0.50/2.073

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