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e 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 chers 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 regressi uation 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 | Click the icon to view the table of numbers of wins (b) x = 10 wins (c) x = 21 Wins and ERA e equation of the regression line is y = x+: pund to two decimal places as needed.) nstruct a scatter plot of the data and draw the regres Earned run Wins, x average, y A. O B. OD. 20 2.65 AERA 6- AERA 6- AERA 6- 18 3.35 17 2.66 44 4- 4- 16 3.65 2- 2- 14 3.77 2- 12 4.25 0- 0- 0- 6. 12 18 24 6. 12 Wins 11 3.78 18 24 Wins 9 5.15 Predict the ERA for 5 wins, if it is meaningful. Select wer box within your choice. Print Done A. ŷ= |(Round to two decimal places as needed B. It is not meaningful to predict this value of y because x=5 is not an x-value in the original data. k to select vour answer(s).

e 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 chers 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 regressi uation 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 | Click the icon to view the table of numbers of wins (b) x = 10 wins (c) x = 21 Wins and ERA e equation of the regression line is y = x+: pund to two decimal places as needed.) nstruct a scatter plot of the data and draw the regres Earned run Wins, x average, y A. O B. OD. 20 2.65 AERA 6- AERA 6- AERA 6- 18 3.35 17 2.66 44 4- 4- 16 3.65 2- 2- 14 3.77 2- 12 4.25 0- 0- 0- 6. 12 18 24 6. 12 Wins 11 3.78 18 24 Wins 9 5.15 Predict the ERA for 5 wins, if it is meaningful. Select wer box within your choice. Print Done A. ŷ= |(Round to two decimal places as needed B. It is not meaningful to predict this value of y because x=5 is not an x-value in the original data. k to select vour answer(s).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. 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 (b) x = 10 wins (c) x = 21 wins **Data Table: Wins and ERA** - Wins (x) and Earned Run Average (y): - (20, 2.65) - (18, 3.35) - (17, 2.66) - (16, 3.65) - (14, 3.77) - (12, 4.25) - (11, 3.78) - (9, 5.15) **Graph Explanation:** The graphs are labeled from A to D. Each graph is a plot with Wins (x-axis) and ERA (y-axis): - Graph D shows a linear regression line fitted to the data points, indicating a negative correlation between the number of wins and the ERA. **Regression and Prediction:** - The equation of the regression line is represented as ŷ = [ ]x + [ ]. (Round values to two decimal places as needed.) - Predict the ERA for 5 wins, if it is meaningful: - Option A (fillable box for prediction) - Option B: It is not meaningful to predict this value of y because x = 5 is not an x-value in the original data.
Transcribed Image Text: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. 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 (b) x = 10 wins (c) x = 21 wins **Data Table: Wins and ERA** - Wins (x) and Earned Run Average (y): - (20, 2.65) - (18, 3.35) - (17, 2.66) - (16, 3.65) - (14, 3.77) - (12, 4.25) - (11, 3.78) - (9, 5.15) **Graph Explanation:** The graphs are labeled from A to D. Each graph is a plot with Wins (x-axis) and ERA (y-axis): - Graph D shows a linear regression line fitted to the data points, indicating a negative correlation between the number of wins and the ERA. **Regression and Prediction:** - The equation of the regression line is represented as ŷ = [ ]x + [ ]. (Round values to two decimal places as needed.) - Predict the ERA for 5 wins, if it is meaningful: - Option A (fillable box for prediction) - Option B: It is not meaningful to predict this value of y because x = 5 is not an x-value in the original data.
### Survey Results Analysis The accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts (a) and (b) below. **(a) Probability Calculation for Male Workers** - Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is [ ]. *(Round to three decimal places as needed.)* **(b) Probability Calculation for Female Workers** - Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work. The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is [ ]. *(Round to three decimal places as needed.)* ### Explanation of Table There is an icon to click to view the survey results, which would display detailed data in a table format. This data includes the number of male and female workers and whether or not they contribute to a retirement savings plan. This information is necessary for calculating the probabilities requested.
Transcribed Image Text:### Survey Results Analysis The accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts (a) and (b) below. **(a) Probability Calculation for Male Workers** - Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is [ ]. *(Round to three decimal places as needed.)* **(b) Probability Calculation for Female Workers** - Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work. The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is [ ]. *(Round to three decimal places as needed.)* ### Explanation of Table There is an icon to click to view the survey results, which would display detailed data in a table format. This data includes the number of male and female workers and whether or not they contribute to a retirement savings plan. This information is necessary for calculating the probabilities requested.
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