Question: PLEASE SHOW WORK! * The following data represent 10 college students. We are interested in seeing if the number of credit hours they are taking

  • PLEASE SHOW WORK! *
  • The following data represent 10 college students. We are interested in seeing if the number of credit hours they are taking affects how much sleep they get at night.

Number of Credit Hours

Average Hours of Sleep

20

7

14

9

17

6

18

7

12

6

16

7

17

5

14

7

16

4.5

17

6.5

a. Which one is the independent variable and which one is the dependent variable?

b. Find b1

c. Find b0

d. Find SST

e. Find SSR.

f. Find SSE.

g. Find the coefficient of determination.

h. Find the correlation coefficient.

i. Find s2

j. Find the test statistic for testing if b1is significant or not.

k. What conclusion would you make based on the test statistic found above?

l. Find the 95% confidence interval for B1

m. Assuming a student is taking 15 credits hours, how many hours of sleep would you expect them to get each night?

n. Assuming a student is taking 15 credits hours, what is the 90% confidence interval for the expected amount of sleep each night?

o. Assuming a student is taking 15 credit hours, what is the 90% prediction interval for the expected amount of sleep each night?

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