9. Carla has kept track of the hours she spent studying and her marks on examinations. The following table shows the results: [11 marks] Subject Hours Studies (x) Mark (y) XY v2 Mathematics, Grade 9 70 350 4900 English, Grade 9 65 195 4225 Science, Grade 9 68 272 4624 Geography, Grade 9 72 288 16 IU J NAAWU $184 French, Grade 9 38 76 4 1444 Mathematics, Grade 10 74 518 49 5476 English, Grade 10 69 345 25 4761 Science, Grade 10 6 71 426 36 5041 History, Grade 10 5 75 375 25 5625 Mathematics, Grade 11 12 76 912 144 5776 English, Grade 9 74 666 81 5476 Physics, Grade 11 14 78 1092 196 084 TOTAL 5515 626 58616 Note: Use 4 decimals where applicable. You must do this question without 1092technology (Excel or Fathom). Determine the dependent variable. (1 mark) Obtain the regression equation. (3 marks) Interpret the meaning of the regression coefficients a and b. (2 marks) Predict her mark for a subject in which she studied 8 hours for the exam. (1 mark) Compute the coefficient of determination. (3 marks) Compute the correlation coefficient. (1 mark) 10. Using technology (Excel) determine the following for question #9. [10 marks] Draw the scatter plot. (2 marks) Plot the regression line. (2 marks) Display the coefficient of determination (r ) and the regression equation. (2 marks) d. Obtain the residual plot using Excel. (4 marks) Using technology (Excel) determine the following for question #9. [10 marks] Part D: Thinking 11. For question #9, find the residual corresponding to Gr. 10 History mark of 75 and explain what it means. (2 Marks)