Question

Use R for computations in this question. The linear model function 1m() is ***NOT*** allowed. • Question 2 ***MUST*** be answered properly in a .pdf file. (That is, the PDF file

should include answers to Question 1 and Question 2) • In addition, all computations in Question 2 ***MUST*** be properly recorded in the file Test4_supplementary. txt and ***MUST*** be reproducible by simply copying a block of annotated R codes and running them in the R Console. (a) Fit a simple linear regression model E(Y) = 3, + Biz to the data (amount of money as a function of attendance). (b) What is the expected attendance if the amount bet is 250 millions? (c) Conduct a test of hypothesis [2 marks] * END ** [1 Marks] H.: 3₁0 versus Ha: 31 0. Do the data present sufficient evidence to indicate that the slope 3₁ differs from 0 at a significance level a = 0.05? Describe the process leading to the findings. [2 marks] (d) If appropriate (justify your answer), calculate a 95% confidence interval for the slope 3₁ of the regression line. Provide a proper conclusion. [3 Marks]

Fig: 1