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# Suppose you are a rabid football fan and you get into a discussion about the importance of offense (yards made) versus defense (yards allowed) in…

Suppose you are a rabid football fan and you get into a discussion about the importance of offense (yards made) versus defense (yards allowed) in terms of winning a game. You decide to look at football statistics to provide evidence of which variable is a stronger predictor of wins.

Part a) Develop a simple linear regression that compares wins to yards made. Perform the following diagnostics on this regression: 1) test of significance on the slope; 2) assess the fit of the line using the appropriate statistics; 3) interpret the slope of the equation if the slope is significant. Part b) Develop a simple linear regression that compares wins against yards allowed. Perform the following diagnostics on this regression: 1) test of significance on the slope; 2) assess the fit of the line using the appropriate statistics; 3) interpret the slope of the equation if the slope is significant. Part c) Which explanatory variable provides a better prediction of the response variable? Support your answer briefly by citing the appropriate diagnostics. Note: Use an alpha of .05 for both tests of significance. Be sure to show ALL steps of the hypothesis testing procedure.

There is the same data (Excel style):

Team

Win

Rush

Pass

Yds Allowed

Arizona Cardinals

62.50

93.40

251.00

346.40

344.40

Atlanta Falcons

56.30

117.21

223.19

348.90

340.40

Baltimore Ravens

56.30

137.51

213.69

305.00

351.20

Buffalo Bills

37.50

116.71

157.19

340.60

273.90

Carolina Panthers

50.00

156.16

174.94

315.80

331.10

Chicago Bears

43.80

93.24

217.06

337.80

310.30

Cincinnati Bengals

62.50

128.48

180.63

301.40

309.10

Cleveland Browns

31.30

130.45

129.75

389.30

260.20

Dallas Cowboys

68.80

131.46

267.94

315.90

399.40

Denver Broncos

50.00

114.71

226.69

315.00

341.40

Detroit Lions

12.50

101.00

198.00

392.10

299.00

Green Bay Packers

68.80

117.85

261.25

284.40

379.10

Houston Texans

56.30

92.23

290.88

324.90

383.10

Indianapolis Colts

87.50

80.91

282.19

339.20

363.10

Jacksonville Jaguars

53.80

126.85

209.75

352.30

336.60

Kansas City Chiefs

25.00

120.58

182.63

388.20

303.20

Miami Dolphins

43.80

139.48

198.13

349.30

337.60

Minnesota Vikings

75.00

119.85

259.75

305.50

379.60

New England Patriots

62.50

120.05

277.25

320.20

397.30

New Orleans Saints

81.30

131.61

272.19

357.80

403.80

New York Giants

50.00

114.81

251.19

324.90

366.00

New York Jets

56.30

172.25

148.75

252.30

321.00

Oakland Raiders

31.30

106.29

159.81

361.90

266.10

68.80

102.34

255.56

321.10

357.90

Pittsburgh Steelers

56.30

112.05

259.25

305.30

371.30

Saint Louis Rams

6.30

111.50

167.88

327.00

279.38

San Diego Chargers

81.30

88.94

271.13

326.40

360.06

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