Question

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 5 of 6 : Calculate the variance of the error (s2e). Round intermediate values and final answer to two decimal places.

Answer 1

the regression equation is:-

exam score= 67.91 + 0.75 hours

table for necessary calculation:-

hours	exam score(y)	predicted exam score()	residual 2=(y - )2
5	63	67.91+(5*0.75) = 71.66	(63-71.66)^2 = 74.00
18	87	81.41	31.25
3	79	70.16	78.15
15	72	79.16	51.27
17	82	80.66	1.80
total	-------	------	236.47

so,error variance:-

hence the variance of error = 59.12

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