Question

What are the Sum of Squares and Mean Squares Errors?

Short answer

The sum of square of Errors is $237.33$ and mean square Errors is $23.7$.

Step-by-step solution

Given Information

Four basketball teams took a random sample of players regarding how high each player can jump (in inches).

Team 1	Team 2	Team 3	Team 4	Team 5
36	32	48	38	41
42	35	50	44	39
51	38	39	46	40

Explanation

To calculate sum of square of Errors and mean square Errors, use Ti-83 calculator. For this, click on STAT $\to$press $1\to$EDIT, then put the above given weights of different groups data into the list $L1,L2,L3,L4andL5$. The screenshot is given as below:

Explanation

Now again press STAT $\to$arrow over the TESTS $\to$arrow down to ANOVA $\to$Press var then select $1$, press var then select $2$, press var then select $3$, press var then select $4$and press var then select $5$to fill the values of $L1,L2,L3,L4andL5$. The screen shot is given as below:

Explanation

Press ENTER. The screenshot of the obtained output of calculated value sum of square of Errors and mean square Errors is given as below:

Thus, sum of square of Errors is $237.33$ and mean square Errors is $23.7$.