Answer Happy

The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15 different farms in a region. xy 8.1 413 15.9 701 10.5 506 6.8 380 9.6 454 12.2 487 9.2 399 10.4 493 7.6 310 4.7 277 6.1 290 12.2 592 17.4 707 14.1 555 6.2 237

Assume that the averages are jointly normally distributed. (a) Find a regression line relating the production rate to the number of employees. Round your answers to one decimal place (e.g. 98.7). = i 77.3 Bo B = i 37.4 (b) Test for the significance of regression using a = 0.1. Reject hypothesis that B, = 0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765). r i 0.958 (d) Test the hypothesis that p = 0, using a = 0.1. Reject hypothesis that p = 0. (e) Test the hypothesis that p = 0.7, using a = 0.1. Fail to reject hypothesis that p = 0.7. (f) Construct a 99% confidence interval for the correlation coefficient. Round your answers to three decimal places (e.g. 98.765). i << i