Question

Summary of Fit

RSquare	0.466146
RSquare Adjusted	0.455138
Root Mean Square Error	0.416758
Mean of Response	3.1882
Observations (Sum Wgts)	100

Analysis of Variance

Source	DF	Sum of Square	Mean Square	F Ratio
Model	2	14.718	7.35542	42.3488
Error	97	16.847	0.17369	Prob >F
C. Total	99	31.558		0.001

Lack of Fit

Source	DF	Sum of Square	Mean Square	F Ratio
Lack of fit	84	16.0369	0.190916	3.0615
Pure Error	13	0.810683	0.062360	Prob>F 0.0140
Total Error	97	16.847		Max Rsq 0.9743

Parameter Estimates

Term	Estimate	STD Error	t ratio	Prob>t
intercept	0.0918	0.361	0.25	0.8003
stanine	0.0255103	0.045212	0.56	0.5739
GPA	0.8816422	0.112088	7.87	<0.001

A researcher is looking at how good of indicators a stanine test and gpa are on IB gpa. Based on data from Multiple regression output tables above, summarize findings.

Answer 1

Lets go one by one:

1.)

Gpa:

For this variable, P-value of t-statistic is less than 0.001

This indicates that this variable is highly significant at 5% significance level(95% confidence) since p-value is less than 0.05

Hence GPA is good indicator on IB gpa.

2.)

For this variable, p-value is 0.5739

This is much higher than 0.05. Hence its not a significant variable at 5% significance level(95% confidence) .

We should remove it and run the regression again