Question 15

A regression analysis was run using the following 2 variables for 50 homes in a given area of New York State:

Y = Annual Heating Cost of a home (in dollars)

X= Size of the home (in square feet)

The analysis of variance table and the prediction equation are given below:

Prediction Equation: Y_i = 170 + 0.42X_i

ANOVA
Source of Variation	Degrees of Freedom	Sum of Squares	Mean Squares
Regression	1	71,632	71,632
Error	48	23,232	484
TOTAL	49	94,864	1,936

The regression is statistically and practically significant and the residuals exhibit a random pattern when plotted against the number of components. The assumption of a normal distribution for the residuals is valid as indicated by the residual plots.

The standard error of the estimated regression coefficient b₁ = 0.42 is:

Question 15 options:

	0.0173
	0.0634
	0.0112
	0.0254
	0.0345