What are the Sum of Squares and Mean Squares Errors?

Short Answer

Expert verified

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

Step by step solution

01

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
3632483841
4235504439
5138394640
02

Explanation

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

03

Explanation

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

04

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.

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Most popular questions from this chapter

60. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.


Northeast
South
West
Central
East

16.3
16.9
16.4
16.2
17.1

16.1
16.5
16.5
16.6
17.2

16.4
16.4
16.6
16.5
16.6

16.5
16.2
16.1
16.4
16.8
x¯=
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State the hypotheses.
H0:-----
Ha:-----

13.2 The F Distribution and the F-Ratio
Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.


Northeast
South
West
Central
East

16.3
16.9
16.4
16.2
17.1

16.1
16.5
16.5
16.6
17.2

16.4
16.4
16.6
16.5
16.6

16.5
16.2
16.1
16.4
16.8

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H0:μ1=μ2=μ3=μ4=μ5
Hα: At least any two of the group means μ1,μ2,,μ5 are not equal.

Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat’s weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again and the net gain in grams is recorded.

Linda's rats
Tuan's rats
Javier's rats
43.5
47.0
51.2
39.4
40.5
40.9

41.3
38.9
37.9
46.0
46.3
45.0
38.2
44.2
48.6

Determine whether or not the variance in weight gain is statistically the same among Javier’s and Linda’s rats. Test at a significance level of 10%

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?

Write a third assumption

Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20commutes. The first worker’s times have a variance of 12.1. These coworkers' times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times. Test the claim at the 10% level. Assume that commute times are normally distributed. Is the claim accurate?

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?

Write a fourth assumption.

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