In the following problems, nd the equation of the least squared regression line and the correlation coefficient. Then perform a hypothesis test to determine if there is a signicant relationship between the two variables. Use the p-Value method and show all 5 steps of the hypothesis test. Test at (1' =0.05. 1. The numbers of faculty and students are shown for a random selection of small colleges. Faculty, x 99 110 113 116 138 174 220 Students,yr 1353 1290 1091 1213 1384 1283 2075