Suppose you work in the admissions department of a small liberal arts college. Y

Question

Suppose you work in the admissions department of a small liberal arts college. You wonder if you can predict student's college grade point averages (GPAs) by their SAT scores. You randomly select 50 recent graduates and collect their SAT scores and college GPAs. You use a statistical software package to run a regression predicting college GPA from SAT score. Use the following output to answer the questions that follow. The regression equation is Y = X + where Y is the predicted value of and x is the value of The Pearson correlation between SAT score and college GPA is You believe there is a linear relationship between SAT score and college GPA. You conduct a hypothesis test with the null hypothesis H_0: beta_1 = 0 versus the alternative hypothesis H_1: beta_1 = notequalto 0. Based on these results, with a significance level of alpha = 05, you _____ reject the null hypothesis. You _____ conduct that SAT score and college GPA are linearly related.

Explanation / Answer

Answer:

The regression equation is y=1.8821+0.000651 x

The Pearson correlation between SAT and college GPA is 0.327

You do reject the null hypothesis, you have sufficient evidence to conclude that SAT score and college GPA are linearly related.

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