Question

The National Football League (NFL) records a variety of performance data for individuals and teams.

ail Sprint Wi-Fi 9:52 PM 18% Access WebAssign My Notes Previous Answers DATAfile: NFLPassing A statistical program is recommended The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the conference (Conf), average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and the percentage of games won (Win%) for a random sample of 16 NFL teams for one full season. Conf Yes/An Int/At Win Team Arizona Cardinals NFC 65 0.042 50.0 Atianta Falcons NFC 7.1 0.022 62.5 Carolina Panthers NFC 74 0.033 37.5 Cinoinnati Bengals AFC 62 0.026 563 0024 25 Detro Len NC 7.2 0.014 Green Bay Packers NFC 89 938 Houstan Texans AC 7.5 0.019 62.5 Indanapalis Colts AFC 56 0.026 12.5 Jacksonvle Jaguars 0.032 31.3 AFC 4.6 Minnesota Vikings NC 5.8 0.033 18.8 New England Patriots AFC 8.3 0.020 81.3 New Orleans Saints 0.023 NFC 8.1 81.3 Oakland Raiders AFC 76 0044 50.0 0.01 San Francisco 49ers NC 65 81.3 Tennessee Titans AFC 67 0.024 563 Washington Redskins NC 004 64 313 (a)Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt. (Round your numerical values to one decimal place. Let x1 represent Yds/Att and y represent Win%.) -58.8+16.4x () Develop the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt. (Round your numerical values to the nearest integer. Let x2 represent Int/Att, and y represent Win%.) 43.8 Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt and the number of interceptions thrown per attempt. (Round your numerical values to the nearest integer. Let x represent Yds/Att, x2 represent Int/Att, and y represent Win%.) y75.2 aC The a4oEaao.oumbor of oaccina uede nor attomnt for cortain toam

Answer 1

Solution: Obtain the regression equation: MINITAB procedure: Step 1: Choose Stat > Regression > Regression. Step 2: In Response, enter the column containing the Win%. Step 3: In Predictors, enter the columns containing the Yds Att. Step 4: Click OK MINITAB output: Regression Analysis: Win% versus Yds/Att The regression equation is Wind - 59.6 - 0.083 Yds/Att Predictor Constant Yds/Att Coef 59.579 -0.0831 SE Coef 7.129 0.3537 T P 8.36 0.000 -0.23 0.818 S = 23.7295 R-Sq = 0.46 R-Sq(adj) = 0.0% From the MINITAB output, the regression equation is, y = 59.6-0.083x

Obtain the regression equation: MINITAB procedure: Step 1: Choose Stat > Regression > Regression. Step 2: In Response, enter the column containing the Win%. Step 3: In Predictors, enter the columns containing the Int Att. Step 4: Click OK MINITAB output: Regression Analysis: Win% versus IntAtt The regression equation is Wint = 94.0 - 1309 Int/Att Predictor Constant Int/Att Coef 94.00 -1309.3 SE Coef 14.97 523.4 T P 6.28 0.000 -2.50 0.025 S = 19.7660 R-Sq = 30.99 R-Sq(adj) = 26.09 From the MINITAB output, the regression equation is, v=94.0-1309x

Obtain the regression equation: MINITAB procedure: Step 1: Choose Stat > Regression > Regression. Step 2: In Response, enter the column containing the Win%. Step 3: In Predictors, enter the columns containing the Yds Att. Int/Att. Step 4: Click OK MINITAB output: Regression Analysis: Win% versus Yds/Att, IntAtt The regression equation is wint = 96.9 + 0.295 Yas/Att - 1538 Int/Att Predictor Constant Yds/Att Int/Att Coef SE Coef 96.88 15.42 0.29490.3299 -1538.0 586.0 T 6.28 0.89 -2.62 0.000 0.388 0.021 From the MINITAB output, the regression equation is, j=96.9+0.295x -1538xz Obtain the value.

Here, x1 = 6.3.x2 = 0.036 Thus, j=96.9+0.295x6.3-1538x0.036 = 43.3905 Therefore, the win% is 43.4%