Answer the following questions using the SPSS regression analysis OUTPUT (given below): a. From the SPSS regression analysis OUTPUT (given below), write the estimated regression line of anxiety score (y) based on hours of sleep (x). b. Does amount of sleep (x) significantly predicts the anxiety score (y), using a= 0.05? State your null and alternative hypotheses. c. What is the predicted anxiety score (y) for someone who sleeps for 5 hours (x)

3. a. From the SPSS output, the intercept is 76.960, and the slope is -4.495. The estimated regression line of anxiety score (y) based on hours of sleep (x) is, y^=a+bx=76.960-4.495x Thus, the estimated regression line of anxiety score (y) based on hours of sleep (x) is y^=76.960-4.495x. b. The hypothesis is, Null hypothesis: H0:β1=0 Alternative hypothesis: Ha:β1≠0 From the SPSS output, the test statistic for slope is -3.389, and corresponding p-value is 0.015. Decision rule: If p-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: The p-value (0.015) is less than the level of significance (0.05). Based on decision rule, reject the null hypothesis. Thus, it can be concluded that the amount of sleep (x) significantly predicts the anxiety scores (y).c. The predicted anxiety score (y) for someone who sleeps for 5 hours (x) is, y^=76.960-4.4955=76.960-22.475=54.485 Thus, the predicted anxiety score (y) for someone who sleeps for 5 hours (x) is 54.485.