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Data collected in a statistics class concerning the number of hours spent studying for the course...

Data collected in a statistics class concerning the number of hours spent studying for the course (explanatory variable) and the final grade of each student (response variable) showed a correlation coefficient of r = + 0.74. 30 students participated in this study. On the average, does the final grade increase, decrease or stay the same as the number of hours studying increase?

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Answer #1

Given a coefficient of r = + 0.74, between number of hours spent studying for the course (explanatory variable) and the final grade of each student (response variable).

The correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot.A coefficient of correlation of +0.74  indicates a moderately strong correlation between number of hours spent studying for the course (explanatory variable) and the final grade of each student (response variable).

Thus we can conclude on an average, the final grade increases as the number of hours studying increases.

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