Use Excel output to answer the following questions.

Refer to the Exhibit Sleep Time. The sample consists of O 23 adults O 21 adults O 22 adults 24 adultsRefer to the Exhibit Sleep Time. The estimated regression equation can be written as (:31 ii = 83?? [MESH .5") y = 3.7? EETm + E 0 ii = .0257'+ 3.77:: + e If," fr = 83?? + [MESH Refer to the Exhibit Sleep Time. Which of the following can be concluded based on the estimated regression equation? Cu As people age by one year, the number of hours they sleep decreases by (11125? hours. on average. Cu As individual's age changes by one year, the number of hours they sleep changes by 431195? hours, on average. Cu As people age by one year, the number of hours they sleep decreases by (11125? percent. on average. Cu As people age by one year, the number of hours they sleep increases by (1.1325? hours, on average. Refer to the Exhibit Sleep Time. According to the regression results. we can saw.r that the average number of hours that a person who is 40 years old sleeps at night is Refer to the Exhibit Sleep Time. The percentage of variation in hours of sleep per night explained by the age of adults is 15.27% 11.23% 39.07% O 2.68%Refer to the Exhibit Sleep Time. Think about testing the significance of the slope of the regression equation. Which one of the following statements is correct using a = 0.10? O Because the p-value for the slope is 0.065, we can reject the null hypothesis and conclude that there is a relationship between the hours of sleep and the age of the adult. O Because the p-value for the slope is 0.065, we fail to reject the null hypothesis and conclude that there is a relationship between the hours of sleep and the age of the adult. O Because the p-value for the slope is 0.065, we can reject the null hypothesis and conclude that there is no relationship between the hours of sleep and the age of the adult. O Because the p-value for the slope is 0.065, we fail to reject the null hypothesis and conclude that there is no relationship between the hours of sleep and the age of the adult.Refer to the Exhibit Sleep Time. What would you conclude in the test of the signicance of the slope if you used a = 0.05 instead? Q We would fail to reject the null hypothesis that the population slope is equal to D, and conclude that there is no relationship between the hours of sleep and the age of the adult 0 We would reject the null hypothesis that the population slope is equal to II}, and conclude that there is a relationship between the hours of sleep and the age of the adult. Q We would fail to reject the null hypothesis that the population slope is equal to D, and conclude that there is a relationship between the hours of sleep and the age of the adult; (:1 We would fail to reject the null hypothesis, and conclude that there is no negative relationship between the hours of sleep and the age of the adult Refer to the Exhibit Sleep Time. Think about testing the significance of the coefficient of determination. Which one of the following statements is correct using a = 0.10? O Because the p-value for F-statistic is 0.065, we can reject the null hypothesis that the population coefficient of determination is less than or equal to zero and conclude that the independent variable age explains a non- zero percentage of variation in the sleep hours in the population. Because Ris close to zero, we can conclude that the there is no relationship between the age and the sleep hours in the population. O Because R is different from zero, we can conclude that the independent variable age explains a non-zero percentage of variation in the sleep hours in the population. O Because R is close to zero, we can conclude that the independent variable age explains 0% of variation in the sleep hours in the population.Refer to the Exhibit Sleep Time. What would you conclude in the test of the significance of the coefficient of determination if you used a = 0.05 instead? We would conclude that there is enough evidence to say that the independent variable age explains a non- zero percentage of variation in the sleep hours in the population. So, there is a relationship between age and sleep hours. We would conclude that there is not enough evidence to say that the independent variable age explains a non-zero percentage of variation in the sleep hours in the population. So, there is no relationship between age and sleep hours. O The test would be inconclusive about the relationship between the age and the sleep hours. O We would conclude that there is not enough evidence to say that there exist a negative relationship between age and sleep hours.Exhibit: Sleep Time. Some research has indicated that as people age they need less sleep. A random sample of adults was selected and the number of hours that they slept last night was recorded. Simple regression analysis was performed on this sample and the results are shown below: SUMMARY OUTPUT Regression Statistics Multiple R 0.390730855 R Square 0.152670601 Adjusted R Square |0.112321582 Standard Error 0.8419499 Observations 23 ANOVA df MS F Significance F Regression 1 2.68222332 2.682223 3.78375 0.06526371 Residual 21 14.88647233 0.70888 Total 22 17.56869565 Coefficients Standard Error t Stat P-value Lower 90.0% Upper 90.0% Intercept 8.7660 0.659009748 13.30179 1.07E-11 7.632021559 9.899994251 Age -0.0257 0.013233234 -1.94519 0.065264 -0.048512101 -0.002970113 Use Excel output to answer the following questions