Please be rightly informed that the regression equation is:
Y = 1.3330 + 0.6667X
Complete question:
Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family home. A random sample of 10 homes yielded the following:
Number of Rooms Kilowatt-Hours
12 9
9 7
14 10
6 5
10. 8
8 6
10 8
10 10
5 4
7 7
X = Total x / n
= (12 + 9 + 14 + 6 + 10 + 8 + 10 + 10 + 5 + 7) / 10
= 9.1
Y = Total y / n
= (9 + 7 + 10 + 5 + 8 + 6 + 8 + 10 + 4 + 7) / 10
= 7.4
sX = ∑ √( X − X ¯ )² / n-1
= √66.9/10-1
= 2.7264
sY = ∑ √( Y − Y ¯ )² / n-1
= √36.4 / 10-1
= 2.0111
Correlation coefficient of X and Y
= ∑(X − X ¯ )(Y − Y ¯) / (n-1) SxSy
= 44.6 / (10-1)(2.7264)(2.0111)
= 0.9038
a Compute the regression in the equation
b. Determine the number of kilowatt-hours, in thousands, for a six-room house.(Round your answer to 3 decimal places.)
The complete solution to the question is attached to the images I sent.
So therefore, please be rightly informed that the regression equation is:
Y = 1.3330 + 0.6667X
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