The following output shows the relationship between the number of hours studied
ID: 3219143 • Letter: T
Question
The following output shows the relationship between the number of hours studied and the final grade in a statistics course: a. Does the final grade seem to increase as the number of hours studied increases? b. How much of the variation in the final grade is accounted for by the hours studied? (Round the final answer to 2 decimal places.) c-1. What is the correlation coefficient? (Round the final answer to 4 decimal places.) c-2. Describe the type and the strength of the relationship between the final grade and hours studied. d-1. What is the estimated final grade for six hours studied? (Round the final answer to 2 decimal places.) d-2. Is this final grade reasonable?Explanation / Answer
Answer to the questions:
a. Yes, the coefficient of hours of study is 6.3394
b. It is (1518.8300/2596.1500) = 58.5% of variation in the final grade is
accounted for by the hours studied
c-1. Correlation coefficient is square root of R^2. So, it is sqaure root of sqrt(.585) = .7648
c-2.More the number of hours study the more is the final grade.
You can see that in the postiive correlation and the positive slope
d-1. It is 53.0528+6.3394*6 = 91.0892
d-2. Yes, the final grade is quiet reasonable
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