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 2121 students who have previously taken the course are given in the table.

Test Scores

Student	First Test Grade	Second Test Grade
1	6767	7070
2	9797	8181
3	4242	6161
4	6969	7272
5	5656	6363
6	6666	7272
7	9999	9090
8	7979	7373
9	8888	7878
10	6363	6767
11	6161	6565
12	8383	7777
13	8989	8585
14	4343	5757
15	8585	7676
16	4040	6464
17	4747	6666
18	9393	7979
19	9393	8080
20	5656	6767
21	5050	6767

Copy Data

Step 1 of 2 :  

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

i am using minitab to solve the problem.

steps for getting regression equation:-

stat regression regression fit regression model in responses select final second Test Grade,in continuous predictors select First Test Grade okok.

to round off any value to needed decimal places :-

right click on the value decimal places select the needed place(here, we will select 4 )

the needed minitab output be:-

Coefficients

Term	Coef	SE Coef	T-Value	P-Value	VIF
Constant	43.8107	2.52	17.40	0.000
First test grade	0.4024	0.0348	11.57	0.000	1.00

*** SOLUTION ***

the regression equation be:-

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.