The following is a chart of 25 baseball players' salaries and
statistics from 2016.
In order to have correlation with 95% significance, what is the critical r-value that we would like to have?
(Round to three decimal places for all answers on this assignment.)
RBI vs. Salary
Complete a correlation analysis, using RBI's as the x-value and salary as the y-value.
Correlation coefficient:
Regression Equation: y=
HR vs. Salary
Complete a correlation analysis, using HR's as the x-value and salary as the y-value.
Correlation coefficient:
Regression Equation: y=
AVG vs. Salary
Complete a correlation analysis, using AVG as the x-value and salary as the y-value.
Correlation coefficient:
Regression Equation: y=
Do you have significant correlation? Select an answer Yes No
Based on your analysis, if you had to predict a player's salary, which method would be the best?
A.) Regression equation with RBI's
B.) Regression equation with HR's
C.) Regression equation with AVG
D.) The average of the 25 salaries
Using that method, predict the salary for Buster Posey. His stats were:
RBI: 80
HR: 14
AVG: 0.288
Based on your analysis, his predicted salary would be: $ million
His actual salary was $20.802 million.
Homework Answers
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The following is a chart of 25 baseball players' salaries and
statistics from 2016.
In order...
The following is a chart of 25 baseball players' salaries and statistics from 2016 Player Name...
The following is a chart of 25 baseball players' salaries and statistics from 2016 Player Name Salary (in millions) RBI's HR'S AVG Mike Trout 0.315 100 29 16.083 0.261 Joe Mauer 49 11 23.000 Victor Martinez 86 27 0.289 18.000 Albert Pujols 119 31 0.268 25.000 Hanley Ramirez 111 30 0.286 22.750 Jayson Werth 21.571 70 21 0.244 Buster Posey 0.288 80 14 20.802 Rajai Davis Adam Jones 48 12 0.249 5.950 0.265 83 29 16.000 Joey Votto 97 29...
The following is a chart of 25 baseball players' salaries and statistics from 2016. Player Nam...
The following is a chart of 25 baseball players' salaries and statistics from 2016. Player Name RBI's HR's AVG Salary (in millions) Joe Mauer 49 11 0.261 23.000 Robinson Cano 103 39 0.298 24.050 Leonys Martin 47 15 0.245 4.150 Brandon Crawford 84 12 0.275 6.000 Colby Rasmus 54 15 0.206 15.800 Carlos Gonzalez 100 25 0.298 17.454 Matt Kemp 108 35 0.268 21.500 Prince Fielder 44 8 0.212 18.000 Mark Teixeira 44 15 0.204 23.125 Yoenis Cespedes 86 31...
We wish to predict the salary for baseball players (y) using the variables RBI (3) and...
We wish to predict the salary for baseball players (y) using the variables RBI (3) and HR (22), then we use a regression equation of the form y = b + b + b 22. • HR - Home runs - hits on which the batter successfully touched all four bases, without the contribution of a fielding error. • RBI - Run batted in - number of runners who scored due to a batters's action, except when batter grounded into...
4. The data set below shows the length of service (in years)and salaries in thousands of...
4. The data set below shows the length of service (in years)and salaries in thousands of dollars) for 10 randomly selected employees. Length of service, 2 Salary, y 0.5 2 4 6 8 10 .75 39 41 41 40.5 42 41 40 1 6 8 38 41 42 (a) Construct a scatter plot for the data showing the regression line. (b) Find the equation of the regression line for the data. (c) Find the value of the correlation coefficient, r....
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Use EXCEL and screenshot all steps The following 6 questions are related. A statistics practitioner in an international company is investigating the factors that affect salary of sale managers. He wondered if evaluations by customers are related to salaries. To this end, he collected 100 observations on: y = Annual salary (in dollars) x = Mean score on customer evaluations To accomplish his goal, he assumes the following relationship: y = β(0) + β(1)x + ε Then, using...
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The following is a chart of 25 baseball players' salaries and statistics from 2016 Player Name Salary (in millions) RBI's HR'S AVG Mike Trout 0.315 100 29 16.083 0.261 Joe Mauer 49 11 23.000 Victor Martinez 86 27 0.289 18.000 Albert Pujols 119 31 0.268 25.000 Hanley Ramirez 111 30 0.286 22.750 Jayson Werth 21.571 70 21 0.244 Buster Posey 0.288 80 14 20.802 Rajai Davis Adam Jones 48 12 0.249 5.950 0.265 83 29 16.000 Joey Votto 97 29...
We wish to predict the salary for baseball players (y) using the variables RBI (3) and HR (22), then we use a regression equation of the form y = b + b + b 22. • HR - Home runs - hits on which the batter successfully touched all four bases, without the contribution of a fielding error. • RBI - Run batted in - number of runners who scored due to a batters's action, except when batter grounded into...
4. The data set below shows the length of service (in years)and salaries in thousands of dollars) for 10 randomly selected employees. Length of service, 2 Salary, y 0.5 2 4 6 8 10 .75 39 41 41 40.5 42 41 40 1 6 8 38 41 42 (a) Construct a scatter plot for the data showing the regression line. (b) Find the equation of the regression line for the data. (c) Find the value of the correlation coefficient, r....
Using a random sample of 25 vehicles, is there a relationship between a vehicle's weight (measured in kg) and it fuel mileage (measured in miles per gallon)? Complete the following correlation and regression analysis using the Minitab Express output. Satterplot of vehicle mileage vs vehicle weight vehide mileage Correlation Pearson r = -0.866579 P.Value = <0.0001 Model Summary S R-sq R-sgiad) 3.01615 75.10% 74.01% Regression Equation vehicle mileage = 45.645 -0.0052220 vehicle weight vehicle we oht a) Describe the nature...
Note : the answer should be computerized
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Problem: You are interested in factors that predict the salaries
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