Question

Questions 1-17 are related to the following
Below are the values for two variables x and y obtained from a sample of size 5.  We want to build a regression equation based the sample data.

	ŷ = b₀ + b₁x
	y	x
	18	5
	25	10
	9	5
	30	15
	46	18

12	Sum of squares total (SST) is,
a	753.9
b	761.5
c	769.2
d	776.9
13	Sum of squares regression (SSR) is,
a	676.50
b	683.37
c	690.20
d	697.10
14	The fraction of variations in y explained by x is:
a	0.7617
b	0.8018
c	0.8440
d	0.8884

Answer 1

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.9426
R Square	0.8884
Adjusted R Square	0.8512
Standard Error	5.3488
Observations	5
ANOVA
	df	SS	MS	F	Significance F
Regression	1	683.3706	683.3706	23.8859	0.0164
Residual	3	85.8294	28.6098
Total	4	769.2
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	1.943	5.399	0.360	0.743	-15.240	19.126
x	2.232	0.457	4.887	0.016	0.779	3.685

From the above regression result we can find the answers as

12. Option c
13. Option b
14. Option d