If the coefficient of determination is 0.30 and the sum of squares regression for an analysis of regression is 210,then what is the value of ?
A)210
B)300
C)490
D)700

Question

If the coefficient of determination is 0.30 and the sum of squares regression for an analysis of regression is 210,then what is the value of  ?
A)210 
B)300 
C)490 
D)700

Quizplus · Accepted Answer

We know that the coefficient of determination (R-squared) is equal to the ratio of the sum of squares regression (SSR) to the total sum of squares (SST).

Therefore,

R-squared = SSR/SST

0.30 = 210/SST

SST = 210/0.30

SST = 700

Substituting the value of SST in the given equation, we get:

SSR = R-squared * SST = 0.30 * 700 = 210

Therefore, the value of 11ea8ad4_c691_6a8e_a213_f7b163f0c6c2_TB1078_11 is 210, which is option A. However, this option is not given in the choices. The next closest value to 210 is 300, which is option B, but this value is not accurate. The closest accurate value to 210 is 490, which is option C. However, the closest value to 210 overall is 700, which is option D.

If the Coefficient of Determination Is 0