Question

In: Statistics and Probability

A teacher is interested in the relationship between the time spent studying for an exam and...

A teacher is interested in the relationship between the time spent studying for an exam and exam score. The table lists scores for 5 students. The value of b0 = 67.91 and the value of b1 = 0.75 Hours studied 5 18 3 15 17 Exam score 63 87 79 72 82 . Step 4 of 6 : Calculate the Coefficient of Determination (R2). Round answer to four decimal places.

Solutions

Expert Solution

We have to find the coefficient of determination R^2.

The regression equation is = b0 + b1*x

That is = 67.91 + 0.75*x

We have to find SSR.

= 76.6

x y yhat (yhat-ybar) (yhat-ybar)^2
5 63 71.66 -4.94 24.4036
18 87 81.41 4.81 23.1361
3 79 70.16 -6.44 41.4736
15 72 79.16 2.56 6.5536
17 82 80.66 4.06 16.4836
Total 112.05

x y (y-ybar) (y-ybar)^2
5 63 -13.6 184.96
18 87 10.4 108.16
3 79 2.4 5.76
15 72 -4.6 21.16
17 82 5.4 29.16
Total 349.2


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