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Question 4 (a) An analyst in a cinema would like to predict the opening weekend movie gross profit (GP) in $ millions in year 2019. Toward this goal, the analyst plans to use YouTube trailer view count (YT) as a predictor. For each of 47 movies, the YouTube trailer view count, the number of YouTube trailer views (in millions) from the release of the trailer through the Saturday before a movie opens. The summary output of the regression results is shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.473684887 R Square 0.224377372 Adjusted R Square 0.207141314 Standard Error 12.62419363 Observations 47 ANOVA df SS MS F Significance F Regression 2074.666982 2074.666982 13.01790509 0.000770754 Residual 45 7171.661917 159.3702648 Total 46 9246.328899Coefficients Standard Error t Stat P-value Intercept 4.811784569 2.52551951 1.905265253 0.063147458 YT 0.357046948 0.098958881 3.608033411 0.000770754 (i) From the summary output above, determine the regression equation. (2 marks) (ii) Interpret the meaning of the slope, by, in the study. (3 marks) (iii) Predict the mean weekend movie gross profit for a movie that had 20 million YouTube trailer view count. (2 marks) (iv) At the 0.05 level of significance, is there evidence of a linear relationship between movie gross profit and YouTube trailer view count? (5 marks) (b) To test two methods of instruction, 50 students are selected at random from each of the two groups. At the end of the instruction period, each student is assigned a grade (A, B, C, D or F) by an evaluating team. The data recorded is given below. Grade A B C D F Totals Group 1 8 13 16 10 3 50 Group 2 4 9 14 16 7 50 Totals 12 22 30 26 10 100Test whether there is a difference between the two methods of instruction at the 5% significance level. (13 marks) [Total: 25 Marks]