1. Suppose we were interested in knowing how the amount of fertilizer influences the corn yield. The yield per plot in bushels of corn was observed on 10 plots that had been fertilized in varying degrees. The data are given in the following table: Yield (in bushels) Fertilizer (in pounds) 12 13 13 14 15 15 14 16 17 18 x; = 40, Ey: = 147, Ex7 = 180, Ey7 = 2 193, Exy = 611(k) Use the t-test to test whether there is a significant positive linear relationship between between the amount of fertilizer used and the corn yield. Use o = 0.10. (I) Find a 90% confidence interval for the true population slope, P, - (m) Find the values of the coefficient of correlation, r, and coefficient of determination, , and interpret their meanings in this problem. What is your conclusion about the model? (n) Find a 90% Confidence Interval for the mean value of the average corn yield when the amount of fertilizer applied is 4.75 lbs. (i.e. xp = 4.75)