# Linear Regression

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• Published : October 31, 2012

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. The following sample observations were randomly selected.

X:53634468
Y:1315712131195

a. Determine the coefficient of correlation.
b. Determine the coefficient of determination.
c. Interpret the result.
. The following sample observations were randomly selected.

X:53634468
Y:1315712131195

a. Determine the coefficient of correlation.
b. Determine the coefficient of determination.
c. Interpret the result.
. The following sample observations were randomly selected.

X:53634468
Y:1315712131195

a. Determine the coefficient of correlation.
b. Determine the coefficient of determination.
c. Interpret the result.
XYXY

5136525169
315459225
67423649
312369144
4135216169
4114416121
69543681
85406425

3985378211983
a.

The 0.89 indicates a very strong negative relationship between X and Y.

b. The coefficient of determination is 0.7921, found by (0.89)2.

c. X accounts for 79 percent of the variation in Y.

2. Bi-lo Appliance Stores has outlets in several large metropolitan areas in New England. The general sales manager plans to air a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday. She plans to get the information for Saturday-Sunday digital camera sales at the outlets and pair them with the number of times the advertisement was shown on the local TV stations. The purpose is to find whether there is any relationship between the number of times the advertisement was aired and digital camera sales. The pairings are: Location ofNumber ofSaturday-Sunday Sales

TV StationAirings(\$ thousands)

Providence415
Springfield28
New Haven521
Boston624
Hartford317
a. What is the dependent variable?
b. Draw a scatter diagram.
c. Determine the coefficient of correlation.
d. Determine the coefficient of...