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[6] 3. Mr. Kartye wants to investigate if student performance on the MDM 4U final exam is related to time spent studying for the exam.

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[6] 3. Mr. Kartye wants to investigate if student performance on the MDM 4U final exam is related to time spent studying for the exam. He gathered the following sample data: Hours studying 10 15 21 6 18 20 12 Exam mark 78 85 96 75 84 45 82 Exam Mark Vs. Hours Studying Scatter Plot 100 90 80 Exam_Mark 70 50 8 10 12 14 16 18 20 22 Hours_Studying 20 Residual -20 8 10 12 14 16 18 20 Hours_Studying Exam Mark = -0.197Hours_Studying + 81; r^2 = 0.0039 Using his favourite software, Mr. Kartye generated the scatter plot shown at the right. Unfortunately, it does not display what Mr. Kartye wanted. For example, r2=0.0039 meaning there is absolutely no relationship (correlation) between exam marks and hours spent studying. Furthermore, the line of best fit of yo = -0.197x + 81 demonstrates a negative slope. In other words, the more you study, the lower your exam mark. Kartye determines he must have done something wrong, or not taken something into consideration. Suggest how Mr. Kartye should modify his data set. Implement your suggestion to determine a new line of best fit, and coefficient of determination. You may use a software application such as Desmos for this question if you wish

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