13:22 O Vo)) 4G TUTORIAL 2.pdf TUTORIAL 2 The following data give the experience (in years) and monthly salaries (in hundreds of dollars) of nine randomly selected secretaries. Experience 14 3 5 6. 4...

Extracted text: 13:22 O Vo)) 4G TUTORIAL 2.pdf TUTORIAL 2 The following data give the experience (in years) and monthly salaries (in hundreds of dollars) of nine randomly selected secretaries. Experience 14 3 5 6. 4 9 18 16 Monthly 62 29 37 43 35 60 67 32 60 salary a) Find the least squares regression line. b) Construct a 98% confidence interval for B1. c) Test at the 2.5% significance level whether B, is greater than zero. d) Interpret the meaning of the values of Bn and B, calculated in part a. e) Plot the scatter diagram and the regression line. f) Calculate r and r?, and explain what they mean. g) Predict the monthly salary for a driver with 10 years of experience. h) Compute the standard deviation of errors. i) Construct a 90% confidence interval for B1. i) Test at the 5% significance level whether B, is negative. k) Compute the linear correlation coefficient, I) Using a = 0.05, test whether p is different from zero. m) Construct a 90% confidence interval for the mean monthly salary of all secretaries with 10 years of experience. n) Construct a 90% prediction interval for the monthly salary of a randomly selected secretary with 10 years of experience. II