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line. Then cur The accompanying data are the number of wins and the earned run averages (mean number of eamed runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regressio 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 (b)x= 10 wins (c) x= 19 wins (d) x= 15 wins Click the icon to view the table of numbers of wins and earned run average. The equation of the regression line is y=x+ (Round to two decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Choose the correct graph below. OA OB O C. O D. AERA AERA AERA AERA 6+ Q Q Q Q Q 4- 2- G A 6 6 6 12 18 24 Wins 12 18 24 Wins (a) 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. OA - (Round to two decimal places as needed.) OB. It is not meaningful to predict this value of y because x = 5 is not an x-value in the original data. OC. It is not meaningful to predict this value of y because x = 5 is well outside the range of the original data. (b) 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. OA. y (Round to two decimal places as needed.) 6- 4- 2- VW 4 2 Lang 12 18 24 Wins 6- 4- 2 04 6 12 18 18 24 Wins

line. Then cur The accompanying data are the number of wins and the earned run averages (mean number of eamed runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regressio 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 (b)x= 10 wins (c) x= 19 wins (d) x= 15 wins Click the icon to view the table of numbers of wins and earned run average. The equation of the regression line is y=x+ (Round to two decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Choose the correct graph below. OA OB O C. O D. AERA AERA AERA AERA 6+ Q Q Q Q Q 4- 2- G A 6 6 6 12 18 24 Wins 12 18 24 Wins (a) 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. OA - (Round to two decimal places as needed.) OB. It is not meaningful to predict this value of y because x = 5 is not an x-value in the original data. OC. It is not meaningful to predict this value of y because x = 5 is well outside the range of the original data. (b) 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. OA. y (Round to two decimal places as needed.) 6- 4- 2- VW 4 2 Lang 12 18 24 Wins 6- 4- 2 04 6 12 18 18 24 Wins

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Regression and Scatter Plot Analysis The accompanying data are the number of wins and the earned 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. 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. Given \( x \)-values for prediction: - \( x = 5 \) wins - \( x = 10 \) wins - \( x = 19 \) wins - \( x = 15 \) wins Click the icon to view the table of numbers of wins and earned run average. #### Regression Line Equation The equation of the regression line is \( \hat{y} = \Box x + \Box \). *(Round to two decimal places as needed.)* #### Scatter Plot and Regression Line Construct a scatter plot of the data and draw the regression line. Choose the correct graph below. Graphs: - **Graph A:** Shows a downward trending line with data points roughly around the regression line. - **Graph B:** Displays a downward trending line with scattered points, but different from Graph A. - **Graph C:** Has a clearly defined downward trend and data points closely following the regression line. - **Graph D:** Displays data points that indicate a strong downward linear trend. Choose the correct scatter plot with the regression line from options A, B, C, or D. #### Predictions Using the Regression Equation (a) **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. - \( \hat{y} = \Box \) *(Round to two decimal places as needed.)* - It is not meaningful to predict this value of \( y \) because \( x = 5 \) is not an \( x \)-value in the original data. - It is not meaningful to predict this value of \( y \) because \( x = 5 \) is well outside the range of the original data. (b) **Predict the ERA for 10 wins**, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box
Transcribed Image Text:### Regression and Scatter Plot Analysis The accompanying data are the number of wins and the earned 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. 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. Given \( x \)-values for prediction: - \( x = 5 \) wins - \( x = 10 \) wins - \( x = 19 \) wins - \( x = 15 \) wins Click the icon to view the table of numbers of wins and earned run average. #### Regression Line Equation The equation of the regression line is \( \hat{y} = \Box x + \Box \). *(Round to two decimal places as needed.)* #### Scatter Plot and Regression Line Construct a scatter plot of the data and draw the regression line. Choose the correct graph below. Graphs: - **Graph A:** Shows a downward trending line with data points roughly around the regression line. - **Graph B:** Displays a downward trending line with scattered points, but different from Graph A. - **Graph C:** Has a clearly defined downward trend and data points closely following the regression line. - **Graph D:** Displays data points that indicate a strong downward linear trend. Choose the correct scatter plot with the regression line from options A, B, C, or D. #### Predictions Using the Regression Equation (a) **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. - \( \hat{y} = \Box \) *(Round to two decimal places as needed.)* - It is not meaningful to predict this value of \( y \) because \( x = 5 \) is not an \( x \)-value in the original data. - It is not meaningful to predict this value of \( y \) because \( x = 5 \) is well outside the range of the original data. (b) **Predict the ERA for 10 wins**, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box
### Accompanying Data Analysis: Wins and Earned Run Averages The accompanying data consists of the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. The goal is to find the equation of the regression line, construct a scatter plot of the data, and make predictions using the regression equation. If the x-value is not meaningful for predicting the value of y, an explanation is required. #### Given Data Table: | Wins (x) | Earned Run Average (ERA, y) | |----------|-----------------------------| | 20 | 2.67 | | 18 | 3.29 | | 12 | 2.74 | | 17 | 3.79 | | 14 | 3.84 | | 16 | 4.23 | | 11 | 3.73 | | 9 | 5.11 | - **Equation of the Regression Line**: \( \hat{y} = \boxed{} + \boxed{}x \) (Round to two decimal places as needed.) #### Scatter Plot and Regression Line Graphs: ##### Graph Options: 1. **Option A**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Scatter plot showing the relationship with the regression line. ![Graph Option A](#) 2. **Option B**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Different scatter plot representation. ![Graph Option B](#) 3. **Option C**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Another scatter plot representation. ![Graph Option C](#) 4. **Option D**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Scatter plot showing the relationship with another regression line. ![Graph Option D](#) #### Predictions and Explanations: 1. **Predict the ERA for 5 Wins**: - Choose the correct option:
Transcribed Image Text:### Accompanying Data Analysis: Wins and Earned Run Averages The accompanying data consists of the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. The goal is to find the equation of the regression line, construct a scatter plot of the data, and make predictions using the regression equation. If the x-value is not meaningful for predicting the value of y, an explanation is required. #### Given Data Table: | Wins (x) | Earned Run Average (ERA, y) | |----------|-----------------------------| | 20 | 2.67 | | 18 | 3.29 | | 12 | 2.74 | | 17 | 3.79 | | 14 | 3.84 | | 16 | 4.23 | | 11 | 3.73 | | 9 | 5.11 | - **Equation of the Regression Line**: \( \hat{y} = \boxed{} + \boxed{}x \) (Round to two decimal places as needed.) #### Scatter Plot and Regression Line Graphs: ##### Graph Options: 1. **Option A**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Scatter plot showing the relationship with the regression line. ![Graph Option A](#) 2. **Option B**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Different scatter plot representation. ![Graph Option B](#) 3. **Option C**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Another scatter plot representation. ![Graph Option C](#) 4. **Option D**: - Title: Wins vs. ERA - X-Axis: Wins - Y-Axis: ERA - Description: Scatter plot showing the relationship with another regression line. ![Graph Option D](#) #### Predictions and Explanations: 1. **Predict the ERA for 5 Wins**: - Choose the correct option:
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