In a regression analysis if SST = 4500 and SSE = 1575, then the coefficient of determination is:.A) 0.35B) 0.65C) 2.85D) 0.45

The coefficient of determination of the given parameter is (b) 0.65

The given parameters are:

--- the total sum of squares

--- the sum of squares error

The coefficient of determination (R²) is calculated using the following formula  

Substitute values for SST and SSE

Simplify the numerator

Divide the fraction

Hence, the coefficient of determination is (b) 0.65

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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

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