41. The random samples below represent sales figures made over a specified period of time of construction supplies from distributors located in two different regions in Ontario. Northern: 55, 34, 45, 24, 43, 63 Southern: 62, 52, 37, 61, 47, 39, 41, 65, 56 Perform a full hypothesis test that will test whether the difference between the two means is significant. Use an alpha level of 5%. Assume also that the variances of the two populations are equal. 4ii. Below is a Minitab linear regression output for a sample of n=8. Regression Analysis: Shares versus Years The regression equation is Y = 44 + 38.8 X S = 91.48 R-Sq = 72.0% R-Sq(adj) = 67.3% Analysis of Variance Source DF SS MS F P Regression 129173 129173 15.44 0.008 Error 50210 8368 Total 179383 a) Define the independent and dependent variables? b) What are the coefficient constants a and b from the regression equation reported above? C) Calculate the Coefficient of Correlation. d) Calculate the Variance of the dependent variable (Sy?). e) Is the simple linear regression statistically significant? Why