Question

Our societal values: do taller basketball players get better paid? Consider the data set labeled NBA 2008-2009 Data.

(a) Select 25 basketball players (use random.org as explained in Problem 2), and record their heights and annual salary in two columns. Display your data values. There should be 25 data values in each column.

(b) You would like to see whether there is a correlation between the players’ height and annual salary. Let height be the explanatory (X) variable, and annual salary be the response (Y) variable. Use appropriate software to obtain a full regression output.

(c) Identify the intercept and slope, and write the regression equation. Identify the coefficient of determination, and interpret the result.

(d) Calculate the coefficient of correlation, and interpret the result.

Answer 1

I have used the MINITAB 17 software.

(a)

(b)

Now for the regresssion part:

Steps:

1. Stat
2. Regression
3. Regression
4. Fit regression model
5. SELECT Annual salary as response
6. SELECT Height as predictor
7. Ok

output is

(c)

Intercept=13.57

Slope= -0.0227

Regression Equation

Annual Salary(in lacs) = 13.57 - 0.0227 height(cm)

coefficient of determination is R sq and R sq=1.78%

(d)

Correlation:

Steps:

1. Stat
2. basic statistics
3. correlation
4. Select "Height" and " Salary" as variables.
5. ok

the ouput is :

Correlation: height(cm), Annual Salary(in lacs)

Pearson correlation of height(cm) and Annual Salary(in lacs) = -0.133
P-Value = 0.525

Hence they are negetively correlated.

as value of one variable increases other decreases and vice versa