Question

the reter to data beloud which Contoins the a fa below which rLet c percantage chorge ) instuck mor ndx ouer tho hirst tive tradine daus ot the year and percent ge clounge Cy) in the indox Over the whole year. The line line tur the dote is given belw tind and interpret the ee tticient dt determi netiun ar reresion 1-12.1015十C1.7 87

Answer 1

Given,

Y = 12.1075 - 1.7687 X₁

Source	DF	Sum of Squares	Mean Square	F Statistic	P-value
Regression (between ŷiand yi)	1	238.0704	238.0704	1.4850	0.2485
Residual (between yiand ŷi)	11	1763.4496	160.3136
Total(between yiand yi)	12	2001.5200	166.7933

	Coeff	SE	t-stat	lower t0.025(11)	upper t0.975(11)	Stand Coeff	p-value	VIF
b	12.1075	3.5593	3.4016	4.2734	19.9415	0.000	0.005912
X1	-1.7687	1.4514	-1.2186	-4.9633	1.4258	-0.3449	0.2485	1.0000

R square (R²) equals 0.1189. It means that the predictors (X_i) explain 11.9% of the variance of Y.
Adjusted R square equals 0.03885.

The coefficient of multiple correlation (R) equals 0.3449. It means that there is a weak direct relationship between the predicted data (ŷ) and the observed data (y).