Question

The explained sum of squares measures variation in the dependent variable Y about the:.

		mean of the Y values.
		estimated Y values.
		mean of the X values
		Y-intercept

Which statement is incorrect?

		Binary predictors shift the intercept of the fitted regression
		a qualitative variable has c categories, we would use only c - 1 binaries as predictors.
		If there is a binary predictor (X = 0, 1) in the model, the residuals may not sum to zero.
		Another name for the dummy variable is the dummy variable.

If the SSE is 104, and the SST is 349, the value of r is: (rounded to 2 significant digets)

Answer 1

Solution :

i) The sum of squares of the deviations of the estimated values from the mean value of a response variable is the explained sum of squares.

Hence the correct option is estimated Y values

ii) If a qualitative variable has C categories then we would have only C-1 binaries as predictors as the Cth category gets fixed due to the other categories.

Hence the correct option is a qualitative variable has c categories, we would use only c-1 binaries as predictors

iii)

Given : SSE = 104 , SST = 349

To find : r

Solution :

r2 = 1 - (SSE/SST)

= 1 - (104/349)

= 1 - 0.2979

r2 = 0.7021

Therefore, r = 0.84