Question

The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they nidied to he euam hat s the best predicesd value for y oiven x -37 Assue that the varlables x and y have a ncant comelation Hours 528 244563 ooresy 65 80 6088 66 78 85 90 907 on ord OA 72 8 OC, 71 D. 70 ok Solu omy Today a to seiedyor มาย.er. 1205 AM 2/17/2019 d

Answer 1

Using Excel:

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.846504
R Square	0.716569
Adjusted R Square	0.68114
Standard Error	6.305137
Observations	10
ANOVA
	df	SS	MS	F	Significance F
Regression	1	804.062	804.062	20.22556	0.002009
Residual	8	318.038	39.75475
Total	9	1122.1
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	56.1139	5.115436	10.96953	4.24E-06	44.31771	67.91014
Hours, x	5.0443	1.121633	4.497284	0.002009	2.457812	7.630795

Regression equation =

$\small \hat y = \textbf{ 56.1139 + 5.0443x}$

Predicted value at x= 3

$\small \hat y = 56.1139 + 5.0443*3 = 71.2468 = \textbf{71}$

$\small \textbf{Answer: C}$