X 2 3 1 1 4 Y 3 3 -1 0 6 a) calculate the slope...

X 2 3 1 1 4

Y 3 3 -1 0 6

a) calculate the slope and y-intercept for these data.

Y= ( )+ ( )X (Round to four decimal places).

b) Calculate the total sum of squares (SST)

SST= (Round to one decimal places)

c) Partition the sum of squares into the SSR and SSE

SSE= (Round to three decimal places)

SSR= (Round to three decimal places)

Expert Solution

Note: the problem is solved thru data analysis module of Excel and please find the output below for all the details :

Equation Y = --2.2647 + 2.0294(x)

Output

Regression Statistics
Multiple R	0.953562738
R Square	0.909281895
Adjusted R Square	0.879042526
Standard Error	0.965076447
Observations	5

ANOVA
	df	Sum Square	MS	F	Significance F
Regression	1	28.00588235	28.00588235	30.06947368	0.011928486
Residual	3	2.794117647	0.931372549
Total	4	30.8

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-2.264705882	0.921516477	-2.457585879	0.091062739	-5.197382591	0.667970827	-5.197382591	0.667970827
X Variable 1	2.029411765	0.370089923	5.483563958	0.011928486	0.851620456	3.207203074	0.851620456	3.207203074



RESIDUAL OUTPUT

Observation	Predicted Y	Residuals	Standard Residuals
1	1.794117647	1.205882353	1.442821453
2	3.823529412	-0.823529412	-0.98534148
3	-0.235294118	-0.764705882	-0.914959946
4	-0.235294118	0.235294118	0.281526137
5	5.852941176	0.147058824	0.175953836

jeff jeffy answered 3 years ago

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