Question

Student	First Test Grade	Second Test Grade
1	81	79
2	55	64
3	52	61
4	81	74
5	50	65
6	70	71
7	43	64
8	43	58
9	77	75
10	97	88
11	48	64
12	48	68
13	70	70
14	75	71
15	77	72
16	76	73
17	85	80
18	91	85
19	70	75
20	69	77
21	40	57

Step 1:

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

yi=________+(_____________)xi

Step 2: Interpret the coefficient of the first test grade in the model.

Answer 1

Scatter plot::

Y = 40.8865 + 0.4523 X

R Square

0.870029726

Correlation cofficieent:

r = 0.9328

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.93275384
R Square	0.870029726
Adjusted R Square	0.863189186
Standard Error	3.06129724
Observations	21
ANOVA
	df	SS	MS	F	Significance F
Regression	1	1191.941	1191.941	127.1873	7.34E-10
Residual	19	178.0593	9.371541
Total	20	1370
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	40.88645282	2.752473	14.85444	6.53E-12	35.12546	46.64745	35.12546	46.64745
X Variable 1	0.452349421	0.04011	11.27773	7.34E-10	0.368398	0.536301	0.368398	0.536301