Answer :
Answer:
B) 0.65
Step-by-step explanation:
In a regression analysis, the formula for the coefficient of determination (R²)=
1 - SSE/SST
SSE = Sum of squared of errors
SST = Total sum of squares
From the above question,
SST = 4500
SSE = 1575
Coefficient of determination (R²) = 1 - 1575/4500
= 1 - 0.35
= 0.65
Therefore, the coefficient of determination = 0.65
The coefficient of determination of the given parameter is (b) 0.65
The given parameters are:
[tex]SST = 4500[/tex] --- the total sum of squares
[tex]SSE = 1575[/tex] --- the sum of squares error
The coefficient of determination (R²) is calculated using the following formula
[tex]R^2 = \frac{SST - SSE}{SST}[/tex]
Substitute values for SST and SSE
[tex]R^2 = \frac{4500 - 1575}{4500}[/tex]
Simplify the numerator
[tex]R^2 = \frac{2925}{4500}[/tex]
Divide the fraction
[tex]R^2 = 0.65[/tex]
Hence, the coefficient of determination is (b) 0.65
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