Consider the data given on the website, obtained in a simple linear regression analysis.
a. Find the estimated regression line, and complete the summary ANOVA table. Conduct an F test for a significant regression. Use a significance level of 0.01.
b. Find s, an estimate of the standard deviation.
c. Find a 95% prediction interval for an observed value of Y when x = 37. Based on this interval, do you think it islikely that an observed value of Y (for x = 37) will be greater than 170? Justify your answer.