A sample of 10 yields the following data:

x 10 8 11 7 10 11 6 7 15 9 y 103 85 115 73 97 102 65 75 155 95

a. Provide a 95% confidence interval for the average y when xp 9.4.

b. Provide a 95% confidence interval for the average y when xp 10.

c. Obtain the margin of errors for both part a and part

b. Explain why the margin of error obtained in part b is larger than that in part a.

a. Produce the regression line.

b. Determine if there is a linear relationship between the dependent and independent variables. Use a significance level of 0.05 and a p-value approach.

c. Calculate a 90% confidence interval for the amount the dependent variable changes when the independent variable increases by 1 unit.

Transcribed Image Text:

x, y ) 156.4 (x-x)=173.5 (y-5)=181.6 (y-) = 40.621 x=13.4 and y=56.4