Find the Correlation Coefficient and Slope
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A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Find the value of the linear correlation coefficient r. Find the value of the linear correlation coefficient r. Compare the computed linear correlation coefficient r to the critical value of r at the 5% significance level to determine whether there is a linear correlation between the two characteristics. Does the slope of the regression line appear to indicate that an increase in the average time spent in the lab each week may improve the course grade for the computer students?
Number of hours spent in lab Grade (percent)
10 96
11 51
16 62
9 58
7 89
15 81
16 46
10 51
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Solution Summary
The solution gives detailed steps on finding the correlation coefficient and slope using simple regression and interpret both terms.
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X Y XY X2 Y2
10 96 960 100 9216
11 51 561 121 2601
16 62 992 256 3844
9 58 522 81 3364
7 89 623 49 7921
15 81 1215 225 6561
16 46 736 256 2116
10 51 510 100 2601
So ...
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