Compute the Pearson correlation for the following data.
X Y
2 3
3 1
6 5
4 4
5 2
A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above.
a. Use a two-tailed test witha= .05. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.
b. Write a sentence regarding your results.
c. Calculate the regression equation for this data set.d. What are the predicted Y scores for the following X scores: X=1, X=7, X=10, X=12.
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