Question
The following table contains data on the average number of hours spent studying per week , total number of absences and final grade (in percent)
The following table contains data on the average number of hours spent studying per week , total number of absences and final grade (in percent) for a random sample of students in a statistics class.
Absences | Hours | Grade |
---|---|---|
9 | 10 | 66 |
1 | 8 | 96 |
0 | 9 | 104 |
11 | 3 | 19 |
3 | 4 | 64 |
10 | 3 | 25 |
8 | 6 | 49 |
6 | 7 | 63 |
Part A Determine the correlation coefficient of the total number of absences and final grade. Round it to 5 decimal places if possible.
Part B The correlation coefficient suggests that there is (strong/moderately strong/moderately weak/weak)? (positive/negative)? (linear/non-linear)? between the total number of absences and the final grade in the sample.
Part C Suppose we want to test whether there is a linear relationship between the total number of absences and the final grade in the population. Since the correlation coefficient (in absolute value) is (larger/less)? than the decision point (?) , the sample data (have sufficient evidence/do not have sufficient evidence)? to conclude that there is a linear relationship between the total number of absences and the final grade in the population.
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