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posledela
3 years ago
8

If the coefficient of determination for a data set is 0.75 and the SSE for the data set is 9, what is the SST for the data set?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
6 0
0.1873 aaaaaaaaaaaaaaaaaaaaaaaa
Gemiola [76]3 years ago
4 0
<h2>Answer:</h2>

Hence, the SST for the data set is:

                              36

<h2>Step-by-step explanation:</h2>

We know that the formula or the expression that relates coefficient of determination i.e. (r²) of the set and SSE and SST for the data set is:

            r^2=1-\dfrac{SSE}{SST}

i.e.

\dfrac{SSE}{SST}=1-r^2

We are given:

        r^2=0.75

SSE=9

Hence, we get:

\dfrac{9}{SST}=1-0.75\\\\\\i.e.\\\\\\\dfrac{9}{SST}=0.25

i.e.

SST=\dfrac{9}{0.25}\\\\\\SST=36

                   Hence, SST for the data set is:

                                     36

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