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A college professor collected information on 430 students including their year i

ID: 3310044 • Letter: A

Question

A college professor collected information on 430 students including their year in school (freshman, sophomore, junior and senior) and their current college GPA. The resulting data was used to create this ANOVA table. Several values have been deleted.

Source

DF

Sum of Squares

Mean Square

F Value

Pr > F

Model

3

0.996

0.332

CCC

0.3304

Error

426

BBB

0.290

Corrected Total

AAA

124.519



The total degrees of freedom is missing (replaced by AAA). What is this value?

Source

DF

Sum of Squares

Mean Square

F Value

Pr > F

Model

3

0.996

0.332

CCC

0.3304

Error

426

BBB

0.290

Corrected Total

AAA

124.519

Explanation / Answer

Ans:

Total df=430-1=429

Sum of squares (Error)=total SS-SS(model)=124.519-0.996=123.523

MS=SS/df

F=MS(model)/MS(error)=0.332/0.290=1.145

p-value=fdist(1.145,3,426)=0.3304

Source DF Sum of Squares Mean Square F Value Pr > F Model 3 0.996 0.332 1.145 0.3304 Error 426 123.523 0.290 Corrected Total 429 124.519
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