3. A professor wants to research about correlation between their students' performance and weekly time spent...

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3. A professor wants to research about correlation between their students' performance and weekly time spent on studies. The professor asked 7 students about how many hours per week they spent on studies and their grades in the last test. Following plot indicates the findings of this survey. Scatterplot and Line of Best Fit Grades 90 y = 7.8268x-4.8677 R = 0.8652 100 R 2 4 6 Number of hours spent on studies 8 10 12 Using above chart, answer the following questions. a) Find the value of the coefficient of correlation, rounded to three decimals. [1 mark] b) Using this model, if a student spent 5 hours/week on studies, what would be their score on the test, rounded to two decimals? [1 mark] 3. A professor wants to research about correlation between their students' performance and weekly time spent on studies. The professor asked 7 students about how many hours per week they spent on studies and their grades in the last test. Following plot indicates the findings of this survey. Scatterplot and Line of Best Fit Grades 90 y = 7.8268x-4.8677 R = 0.8652 100 R 2 4 6 Number of hours spent on studies 8 10 12 Using above chart, answer the following questions. a) Find the value of the coefficient of correlation, rounded to three decimals. [1 mark] b) Using this model, if a student spent 5 hours/week on studies, what would be their score on the test, rounded to two decimals? [1 mark]