Calculate sample correlation coefficient what does this

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Reference no: EM13395061

Ten major college football bowl games were played in January 2010 with the University of Alabama beating the University of Texas 37 to 21 to become the national champion of college football. The results of the 10 bowl games are shown in the following table (USA Today, January 8, 2010). The predicted winning point margin was based on Las Vegas betting odds approximately one week before the bowl games were played. For example, Auburn was predicted to beat Northwestern in the Outback Bowl by 5 points. The actual winning point margin for Auburn was 3 points. A negative predicted winning point margin means that the team that won the bowl game was an underdog and expected to lose. For example, in the Rose Bowl, Ohio State was a 2-point underdog to Oregon and ended up wining by 9 points.

a. Develop a scatter diagram with the predicted point margin on the horizontal axis.

b. What is the relationship between the predicted and actual point margins?

c. Compute and interpret the sample covariance.

d. Compute the sample correlation coefficient. What does this value tell us about the relationship between the Las Vegas predicted point margin ad the actual point margin in college football bowl games?

Bowl Game	Score	Predicted Point Margin	Actual Point Margin

Outback	Auburn 38 Northwestern 35	5	3
Gator	Florida State 33 West Virginia 21	1	12
Capital One	Penn State 19 LSU 17	3	2
Rose	Ohio State 26 Oregon 17	-2	9
Sugar	Florida 51 Cincinnati 24	14	27
Cotton	Mississippi State 21 Oklahoma State 7	3	14
Alamo	Texas Tech 41 Michigan State 31	9	10
Fiesta	Boise State 17 TCU 10	-4	7
Orange	Iowa 24 Georgia Tech 14	-3	10
Championship	Alabama 37 Texas 21	4	16

Reference no: EM13395061

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