In: Statistics and Probability
School | Revenue | %Wins | Salary |
Alabama | 6.5 | 61 | 1.00 |
Arizona | 16.6 | 63 | 0.70 |
Arkansas | 11.1 | 72 | 0.80 |
Boston College | 3.4 | 80 | 0.53 |
California | 6.0 | 68 | 0.85 |
Cincinnati | 5.7 | 61 | 0.18 |
Duke | 12.4 | 90 | 1.40 |
Florida | 6.5 | 80 | 1.70 |
Florida State | 6.8 | 68 | 0.74 |
Gonzaga | 2.5 | 90 | 0.50 |
Illinois | 11.3 | 83 | 0.70 |
Indiana | 11.9 | 63 | 0.78 |
Iowa | 10.5 | 73 | 0.80 |
Kansas | 11.8 | 76 | 1.00 |
LSU | 4.6 | 76 | 0.72 |
Marquette | 5.8 | 67 | 1.10 |
Memphis | 5.6 | 90 | 1.20 |
Michigan State | 11.0 | 68 | 1.60 |
N.C. State | 11.4 | 72 | 0.90 |
Nevada | 3.3 | 83 | 0.26 |
Northern Iowa | 1.2 | 72 | 0.18 |
Ohio State | 11.4 | 85 | 0.83 |
Oklahoma | 6.2 | 74 | 1.00 |
Pittsburg | 7.8 | 79 | 0.49 |
San Diego State | 2.6 | 73 | 0.36 |
Southern Illinois | 1.2 | 69 | 0.21 |
Syracuse | 12.4 | 66 | 0.38 |
Tennessee | 5.4 | 78 | 0.80 |
Texas | 12.0 | 83 | 1.30 |
Texas A&M | 6.5 | 74 | 0.63 |
UAB | 1.9 | 82 | 0.60 |
UCLA | 7.1 | 81 | 0.91 |
Uconn | 7.9 | 90 | 1.50 |
UNC | 15.0 | 78 | 1.40 |
Villanova | 4.2 | 89 | 0.51 |
Washington | 5.0 | 83 | 0.89 |
What can we say about winning percentage and coach's salary as contributors to "Revenue"? Select one: a. Surprisingly, coach's salary has a positive impact on revenue, while winning percentage has a negative impact. b. As would be expected, winning percentage has a positive effect, and coach's salary impact is negative. c. Both winning percentage and coach's salary have a positive impact on revenue. d. More data is needed to conduct a meaningful analysis. e. Answer pending
What is the error of estimation for Alabama’s revenue?
Select one:
a. 4.1 Million
b. 10.6 Million
c. 8.3 Million
d. 0
e. Cannot be determined.
The regression equation is
Revenue = 13.1 - 0.131 %Wins + 5.36 Salary
Predictor | Coef | SE Coef | T | P |
Constant | 13.147 | 5.219 | 2.52 | 0.017 |
%Wins | -0.13087 | 0.07012 | -1.87 | 0.071 |
Salary | 5.357 | 1.528 | 3.51 | 0.001 |
S = 3.49068 R-Sq = 28.9% R-Sq(adj) = 24.6%
Ans: a. Surprisingly, coach's salary has a positive impact on revenue, while the winning percentage has a negative impact.
School | Revenue | %Wins | Salary | Error |
Alabama | 6.5 | 61 | 1 | -4.02173 |
Arizona | 16.6 | 63 | 0.7 | 7.947196 |
Arkansas | 11.1 | 72 | 0.8 | 3.089274 |
Boston College | 3.4 | 80 | 0.53 | -2.11732 |
California | 6 | 68 | 0.85 | -2.80206 |
Cincinnati | 5.7 | 61 | 0.18 | -0.42875 |
Duke | 12.4 | 90 | 1.4 | 3.530514 |
Florida | 6.5 | 80 | 1.7 | -5.28535 |
Florida State | 6.8 | 68 | 0.74 | -1.41276 |
Gonzaga | 2.5 | 90 | 0.5 | -1.54793 |
Illinois | 11.3 | 83 | 0.7 | 5.264544 |
Indiana | 11.9 | 63 | 0.78 | 2.818613 |
Iowa | 10.5 | 73 | 0.8 | 2.620141 |
Kansas | 11.8 | 76 | 1 | 3.241286 |
LSU | 4.6 | 76 | 0.72 | -2.45867 |
Marquette | 5.8 | 67 | 1.1 | -4.47225 |
Memphis | 5.6 | 90 | 1.2 | -2.19803 |
Michigan State | 11 | 68 | 1.6 | -1.82003 |
N.C. State | 11.4 | 72 | 0.9 | 2.853545 |
Nevada | 3.3 | 83 | 0.26 | -0.37825 |
Northern Iowa | 1.2 | 72 | 0.18 | -3.48921 |
Ohio State | 11.4 | 85 | 0.83 | 4.929831 |
Oklahoma | 6.2 | 74 | 1 | -2.62045 |
Pittsburg | 7.8 | 79 | 0.49 | 2.366105 |
San Diego State | 2.6 | 73 | 0.36 | -2.92265 |
Southern Illinois | 1.2 | 69 | 0.21 | -4.04253 |
Syracuse | 12.4 | 66 | 0.38 | 5.854131 |
Tennessee | 5.4 | 78 | 0.8 | -1.82552 |
Texas | 12 | 83 | 1.3 | 2.750171 |
Texas A&M | 6.5 | 74 | 0.63 | -0.33825 |
UAB | 1.9 | 82 | 0.6 | -3.73059 |
UCLA | 7.1 | 81 | 0.91 | -0.32222 |
Uconn | 7.9 | 90 | 1.5 | -1.50522 |
UNC | 15 | 78 | 1.4 | 4.560105 |
Villanova | 4.2 | 89 | 0.51 | -0.03237 |
Washington | 5 | 83 | 0.89 | -2.05334 |
The error of estimation for Alabama’s revenue is -4.02173.