Question

A statistics professor would like to build a model relating student scores on the first test to the scores on the second test. The test scores from a random sample of 21 students who have previously taken the course are given in the table.

Test Scores

Student	First Test Grade	Second Test Grade
1	50	70
2	91	58
3	55	74
4	58	65
5	79	60
6	70	60
7	97	48
8	51	73
9	51	73
10	59	66
11	69	67
12	56	70
13	56	73
14	41	76
15	49	72
16	58	68
17	58	73
18	99	53
19	87	58
20	95	50
21	97	55

Using statistical software, estimate the parameters of the model

Second Test Grade=β0+β1(First Test Grade)+εiSecond Test Grade=β0+β1(First Test Grade)+εi.

Enter a negative estimate as a negative number in the regression model. Round your answers to 4 decimal places, if necessary.

Answer 1

Ans:

Student	First Test Grade	Second Test Grade
1	50	70
2	91	58
3	55	74
4	58	65
5	79	60
6	70	60
7	97	48
8	51	73
9	51	73
10	59	66
11	69	67
12	56	70
13	56	73
14	41	76
15	49	72
16	58	68
17	58	73
18	99	53
19	87	58
20	95	50
21	97	55
mean=	67.9048	64.8571
std. dev=	18.9971	8.5924
r=	-0.94997
B1	-0.4297
B0=	94.0339

Second Test Grade=94.0339-0.4297(First Test Grade)+εi