The following output shows the relationship between the number of hours studied
ID: 3219365 • Letter: T
Question
The following output shows the relationship between the number of hours studied and the final grade in a statistics course: Does the final grade seem to increase as the number of hours studied increases? (Click to select), the coefficient of hours of study is (Click to select). How much of the variation in the final grade is accounted for by the hours studied? (Round the final answer to 2 decimal places.) % What is the correlation coefficient? (Round the final answer to 4 decimal places.) Coefficient of correlation Describe the type and the strength of the relationship between the final grade and hours studied. The relationship is (Click to select), (Click to select). What is the estimated final grade for five hours studied? (Round the final answer to 2 decimal places.) Is this final grade reasonable? (Click to select), the final grade (Click to select) reasonable.Explanation / Answer
a. The coefficient for hour of study is 6.4294 which is positive so final grade seem to increase as the number of hours studied increases.
b. R2= 1548.61/ (1105.70 +1548.61)= 0.5834
Variation in final grade due to hours studied = 58.34%
(c) Correlation coefficient = R = 0.7638
(d) The relationship is positive linear and a medium strong relationship as R >0.75
(e) for t = 5hours
final grades y = 50.4631 + 6.4294 * 5 = 82.61
(f) Yes, the final grade is reasonable for t = 5 hours studied.
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