Football Data Points/Game Yards/Game 25 346.4 17.3 310.8 15.5 293.3 17 273.6 17.9 282.3 21.5 290.3 25.5 347.8 26.7 350 28.1 362.1 19.2 351.9 19.8 320.5 26.4 374.5 23.4 335.4 26.2 357.6 27.1 363.5 13.9 273.5 15.1 283.8 23.9 327.7 37 405.4 24.1 352.1 21.8 322.8 16.7 292.4 17.3 286.1 21.6 352.3 26.3 335.3 24.3 324.3 13 244.1 23.2 349 15.3 291.4 22.3 326.1 20.7 306.2 19 332.7 Points/Game Yards/GameThe 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 R value. Click the icon to view the football data. a. Choose the correct scatter diagram below. O A. O B. O C. D 40- 40- 10- Points/Game 20- 20- Points/Game Points/Game Points/Game 20- 20- 250 350 450 250 350 450 250 350 450 250 350 450 Yards/Game Yards/Game Yards/Game Yards/Game The scatter diagram shows a linear pattern, so there appears to be a linear relationship between the two variables. b. Develop a model for predicting points/game as a function of yards/game. points/game =] + ()xyards/game (Round to three decimal places as needed.)To explain the statistical significance of the model, first state the appropriate null and alternative hypotheses. Ho (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Since the p-value is Ho. There evidence of a between points/game and yards/game. (Round to three decimal places as needed.) Determine the coefficient of determination, R", and interpret its meaning. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The coefficient of determination is R = . This value is the probability that the slope of the regression line is statistically significant