Question

If a data set has ssr = 400 and sse = 100, then the coefficient of determination is

Answer 1

To solve this problem you must apply the proccedure shown below:

 1. You have that the data set has SSR=400 and SSE=100

 2. Therefore you have the coefficient of determination is:

 r²=SSR/SSTO

 SSTO=SSR+SSE

 3. Then, when you substitute the values, you obtain:

 SSTO=400+100
 SSTO=500

 r²=400/500

 4. So, you have that the result is:

 r²=0.8

 Therefore, as you can see,  the answer for the exercise shown above is:  the coefficient of determination is 0.8
 

Answer 2

To solve this problem you must apply the proccedure shown below:

 1. You have that the data set has SSR=400 and SSE=100

 2. Therefore you have the coefficient of determination is:

 r²=SSR/SSTO

 SSTO=SSR+SSE

 3. Then, when you substitute the values, you obtain:

 SSTO=400+100

 SSTO=500

 r²=400/500

 4. So, you have that the result is:

 r²=0.8

 Therefore, as you can see,  the answer for the exercise shown above is:  the coefficient of determination is 0.8

 

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