Question

In: Math

1.The following is a chart of 25 baseball players' salaries and statistics from 2016. Player Name...

1.The following is a chart of 25 baseball players' salaries and statistics from 2016.

Player Name RBI's HR's AVG Salary (in millions)
Rajai Davis 48 12 0.249 5.950
Chris Iannetta 24 7 0.210 4.550
Yoenis Cespedes 86 31 0.284 27.500
Ben Zobrist 76 18 0.272 10.500
Ryan Braun 91 31 0.305 20.000
Mark Teixeira 44 15 0.204 23.125
Joe Mauer 49 11 0.261 23.000
Miquel Cabrera 108 38 0.316 28.050
Brian McCann 58 20 0.242 17.000
Matt Kemp 108 35 0.268 21.500
Evan Gattis 72 32 0.251 3.300
Albert Pujols 119 31 0.268 25.000
Curtis Granderson 59 30 0.237 16.000
Logan Forsythe 52 20 0.264 2.750
Shin-Soo Choo 17 7 0.242 20.000
J.D. Martinez 68 22 0.307 6.750
Denard Span 53 11 0.266 5.000
Justin Upton 87 31 0.246 22.125
Hunter Pence 57 13 0.289 18.500
Hanley Ramirez 111 30 0.286 22.750
Adam Jones 83 29 0.265 16.000
David Ortiz 127 38 0.315 16.000
Prince Fielder 44 8 0.212 18.000
Joey Votto 97 29 0.326 20.000
Robinson Cano 103 39 0.298 24.050



In order to have correlation with 95% confidence (5% 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=

Do you have significant correlation? Select an answer Yes No

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=

Do you have significant correlation? Select an answer Yes No   

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

Prediction

Based on your analysis, if you had to predict a player's salary, which method would be the best? Select an answer Regression equation with RBI's Regression equation with HR's Regression equation with AVG The average of the 25 salaries

Using that method, predict the salary for Matt Wieters. His stats were:

RBI: 66

HR: 17

AVG: 0.243

Based on your analysis, his predicted salary would be: $ million  

His actual salary was $15.800 million.

2.

The following is data for the first and second Quiz scores for 8 students in a class.

First Quiz Second Quiz
10 10
17 13
18 19
30 24
33 31
35 35
38 38
43 38

Predict the value of the second quiz score if a student had a score of 14 on the first test. _

Solutions

Expert Solution

RBI vs. Salary

Complete a correlation analysis, using RBI's as the x-value and salary as the y-value.

Correlation coefficient:  0.457

Regression Equation: y= 7.6821 + 0.1218*x

Do you have significant correlation? NO

HR vs. Salary

Complete a correlation analysis, using HR's as the x-value and salary as the y-value.

Correlation coefficient: 0.408

Regression Equation: y= 9.6255 + 0.3054*x

Do you have significant correlation? No   

AVG vs. Salary

Complete a correlation analysis, using AVG as the x-value and salary as the y-value.

Correlation coefficient:  0.230

Regression Equation: y= 1.879 + 55.276*x

Do you have significant correlation? No

Prediction

Based on your analysis, if you had to predict a player's salary, 1st method would be the best wrt to the others.

Based on the analysis, his predicted salary would be: $ 16.634 million

2. The predicted value of the second quiz score if a student had a score of 14 on the first test is 12.93

milcah answered 12 hours ago
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