The Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following:
NUMBER OF KILOWATT
ROOMS HOURS
12 16
9 10
14 20
6 5
10 11
8 7
10 12
10 14
7 8
9 16
a. Find X and Y. Find the regression equation. Calculate a and b.
b. Determine the number of kilowatt-hours, in thousands, for a 11 room house.
c. Find the coefficient of determination and interpret its meaning.
d. Find the coefficient of correlation and interpret its meaning.