Answer these questions The image presents an exercise involving the prediction of an earned run average (ERA) based on a given dataset. The dataset contains the number of wins and the corresponding ERAs for eight baseball pitchers. The exercise is structured into three parts:1. **Predict the ERA for 5 wins.** - (a) Options: - A: Predict ERA using the equation and round to two decimal places. - B: It's not meaningful because 5 is not within the range of the original data. - C: It's not meaningful because 5 is outside the range of the original data.2. **Predict the ERA for 10 wins.** - (b) Options: - A: Predict ERA using the equation and round to two decimal places. - B: It's not meaningful because 10 is inside the range of the original data. - C: It's not meaningful because 10 is not an x-value in the original data.3. **Predict the ERA for 19 wins.** - (c) Options: - A: Predict ERA using the equation and round to two decimal places. - B: It's not meaningful because 19 is inside the range of the original data. - C: It's not meaningful because 19 is not an x-value in the original data.**Data Table:**The data table provided lists the following values:- Wins (x): 20, 18, 16, 14, 12, 11, 9- Earned Run Average (y): 2.64, 3.32, 3.81, 3.92, 4.39, 3.86, 5.02The task involves using this information to determine the meaningfulness of ERA predictions for specified win counts, considering the range and values of the original dataset. The text describes a statistical exercise involving linear regression. Here's the transcription suitable for an educational website:---**Linear Regression Analysis of Baseball Data**The accompanying data are the number of wins and the earned run averages (ERA) (meaning the number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Use the regression equation to predict the value of \( y \) for each of the given \( x \)-values, if meaningful. If the \( x \)-value is not meaningful to predict the value of \( y \), explain why not.1. **Predict the ERA for 5 wins, if it is meaningful.** Select the correct choice below and, if necessary, fill in the answer box within your choice. - A. \( \hat{y} = \) [ ] (Round to two decimal places as needed.) - B. It is not meaningful to predict this value of \( y \) because \( x = 5 \) is well outside the range of the original data. - C. It is not meaningful to predict this value of \( y \) because \( x = 5 \) is not an \( x \)-value in the original data.2. **Predict the ERA for 10 wins, if it is meaningful.** Select the correct choice below and, if necessary, fill in the answer box within your choice. - A. \( \hat{y} = \) [ ] (Round to two decimal places as needed.) - B. It is not meaningful to predict this value of \( y \) because \( x = 10 \) is inside the range of the original data. - C. It is not meaningful to predict this value of \( y \) because \( x = 10 \) is not an \( x \)-value in the original data.3. **Predict the ERA for 19 wins, if it is meaningful.** Select the correct choice below and, if necessary, fill in the answer box within your choice. - A. \( \hat{y} = \) [ ] (Round to two decimal places as needed.) - B. It is not meaningful to predict this value of \( y \) because \( x = 19 \) is well outside the range of the original data

The data shows the number of wins and earned run averages for eight baseball pitchers in a recent…

The accompanying data are the number of wins and the eaned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season, Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x=5 wins E Click the icon to view the table of numbers of wins and earned run average. (b) x = 10 wins (c) x= 19 wins (d) x= 15 wins Wins ard ERA (a) Predict the ERA for 5 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box withi O A. ý = (Round to two decimal places as needed.) Earned run Wins, x average, y O B. It is not meaningful to predict this value of y because x=5 is not an x-value in the original data. 20 2.64 O C. It is not meaningful to predict this value of y because x=5 is well outside the range of the original data. 3.32 18 17 2.66 (b) Predict the ERA for 10 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box with 3.81 16 14 3.92 O A. y= (Round to two decimal places as needed.) 12 4.39 11 3.86 O B. It is not meaningful to predict this value of y becausex = 10 is inside the range of the original data. 5.02 O C. It is not meaningful to predict this value of y because x= 10 is not an x-value in the original data. (c) Predict the ERA for 19 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box with Print Done O A. y= (Round to two decimal places as needed.) Next

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...