You are given the following sample data:

x y 10 3 6 7 9 3 3 8 2 9 8 5 3 7

a. Develop a scatter plot for these data.

b. Determine the regression equation for the data.

c. Develop a 95% confidence interval estimate for the true regression slope and interpret this interval estimate.

d. Provide a 95% prediction interval estimate for a particular y, given xp  7.

Problems 14-32 and 14-33 refer to the following output for a simple linear regression model:

Summary Output Regression Statistics Multiple R 0.1027 R-Square 0.0105 Adjusted R-Square 0.0030 Standard Error 9.8909 Observations 75 Anova df SS MS F Significance F Regression 1 76.124 76.12 0.778 0.3806 Residual 73 7141.582 97.83 Total 74 7217.706 Coefficents Standard Error t-Statistic Intercept 4.0133 3.878 1.035 x 0.0943 0.107 0.882 p-value Lower 95% Upper 95%
Intercept 0.3041 3.715 11.742 x 0.3806 0.119 0.307