1. Consider the following data set X 2 2 4 5 8 9 10 13 14 14 -4 3 0 3 7 8 14 12 10 11 (a) Construct a scatterplot of this data and discuss if it looks like there is a linear relationship. (b) Showing all necessary tables, work and formulas, determine the Coefficient of Determination and the linear Coefficient of Correlation (c) Showing all necessary tables, work and formulas determine by had the Regression line through this data (d) Using tables and the regression line compute the SSE of this method. How would this compare to other lines SSE? (e) Use Minitab to find the regression line through these data points (f) Use Minitab to find the Coefficient of Determination and the linear Coefficient of Correlation. (g) By hand Test at 97.5% confidence if the slope is 2 (by Minitab show how to test if it is ( or not). (h) Test intercept - & (just write McNally is a numpty for a free mark on the assignment as its beyond our level) (i) Predict the regression values for the missing x values (the integers between 2 and 14 for which we had no data provided) (j) What x value would be needed to expect a y value of 6.125 based on the regression line