Researchers have found that the correlation between grades and studying hours is significant at r=.85. What percentage of student’s grades is NOT attributable to studying hours (e.g. studying technique, stress, distractions…)Question 14Answera.Not enough information provided. b.75%c.27.75%d.15%
Question
Researchers have found that the correlation between grades and studying hours is significant at r=.85. What percentage of student’s grades is NOT attributable to studying hours (e.g. studying technique, stress, distractions…)Question 14Answera.Not enough information provided. b.75%c.27.75%d.15%
Solution
The correlation coefficient (r) is a measure of the strength and direction of the relationship between two variables. In this case, r = .85, which indicates a strong positive relationship between grades and studying hours.
To find the percentage of student's grades that is not attributable to studying hours, we need to square the correlation coefficient. This is because the square of the correlation coefficient (r^2) gives us the proportion of variance in one variable that is predictable from the other variable.
So, r^2 = (.85)^2 = .7225 or 72.25%. This means that 72.25% of the variance in grades can be predicted from studying hours.
To find the percentage that is not attributable to studying hours, we subtract this value from 100%.
So, 100% - 72.25% = 27.75%.
Therefore, 27.75% of student's grades is not attributable to studying hours.
So, the answer is c. 27.75%.
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