334.5 3 14.8 307.4 The accompanying data are from a football league for one season. a....

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334.5 3 14.8 307.4 The accompanying data are from a football league for one season. a. Construct a scatter diagram for points/game and yards/game. Does there appear to be a linear relationship? b. Use the Regression tool to develop a model for predicting points/game as a function of yards/game. Explain the statistical significance of the model and the R2 value. R Click the icon to view the football data. 4 15.3 297.8 5 14.6 280.6 6 16.1 280.3 7 21.1 284.1 8 25.7 352.4 9 26.6 359.8 10 27.9 369.8 11 21.2 341.5 12 21 327 Points/ 0+ 250 350 450 Yards/Game G Points/ Points/ Points/ 201 13 25.4 376.6 14 22 331.9 0+ 250 350 Yards/Game 450 0+ 250 350 450 Yards/Game 0+ 15 27.5 362.3 250 350 450 Yards/Game 16 26 362.5 17 15.3 279.6 18 18.6 287.7 19 21.7 333.3 The scatter diagram shows variables a linear pattern, so there appears to be a linear relationship between the two 20 35.1 418.7 21 24.2 364.4 22 21.6 331.2 b. Develop a model for predicting points/game as a function of yards/game. 23 15 285.6 points/game = -18.227 + (0.122) x yards/game 24 18.9 304.3 25 22.3 367.5 (Round to three decimal places as needed.) 26 23.5 330 To explain the statistical significance of the model, first state the appropriate null and alternative hypotheses. 27 25.7 309.4 28 12 245.5 Ho 29 25.1 358.4 30 15.2 291 H 31 21.5 317 (Type integers or decimals. Do not round.). 32 17.6 314 33 22.3 326.1 334.5 3 14.8 307.4 The accompanying data are from a football league for one season. a. Construct a scatter diagram for points/game and yards/game. Does there appear to be a linear relationship? b. Use the Regression tool to develop a model for predicting points/game as a function of yards/game. Explain the statistical significance of the model and the R2 value. R Click the icon to view the football data. 4 15.3 297.8 5 14.6 280.6 6 16.1 280.3 7 21.1 284.1 8 25.7 352.4 9 26.6 359.8 10 27.9 369.8 11 21.2 341.5 12 21 327 Points/ 0+ 250 350 450 Yards/Game G Points/ Points/ Points/ 201 13 25.4 376.6 14 22 331.9 0+ 250 350 Yards/Game 450 0+ 250 350 450 Yards/Game 0+ 15 27.5 362.3 250 350 450 Yards/Game 16 26 362.5 17 15.3 279.6 18 18.6 287.7 19 21.7 333.3 The scatter diagram shows variables a linear pattern, so there appears to be a linear relationship between the two 20 35.1 418.7 21 24.2 364.4 22 21.6 331.2 b. Develop a model for predicting points/game as a function of yards/game. 23 15 285.6 points/game = -18.227 + (0.122) x yards/game 24 18.9 304.3 25 22.3 367.5 (Round to three decimal places as needed.) 26 23.5 330 To explain the statistical significance of the model, first state the appropriate null and alternative hypotheses. 27 25.7 309.4 28 12 245.5 Ho 29 25.1 358.4 30 15.2 291 H 31 21.5 317 (Type integers or decimals. Do not round.). 32 17.6 314 33 22.3 326.1