In simple regression analysis, the dependent variable is also known as a/an ____

Question

In simple regression analysis, the dependent variable is also known as a/an __________ variable and the independent variable is also known as a/an __________ variable. exogenous; endogenous response; explanatory to be determined; predetermined all of the above only (b) and (c) of the above In simple regression analysis, you will find ____________ independent variable(s) __________ and dependent variable(s). One; one one; two two; one two; two more than one; one Given the relationship of: Y = beta_0 + beta_1X + epsilon, beta_0 and beta_1 are both called regression coefficients. More specifically, however, beta_0 is called a/an ____________ and beta_1 is called a/an ____________. base; intercept intercept; slope coefficient slope coefficient; slope coefficient slope coefficient; intercept Y-intercept; X-intercept The least-squares method for estimating regression coefficients is named as such because it tries to find the coefficient values by minimizing ____________ the product of coefficients squared the sum of coefficients squared the sum of errors the sum of errors squared the sum of the dependent variable squared Given the following data of Covariance between X and Y= S_XY = 40 Variance of X = S_X^2 = 50 Number of observations = n = 10 X^bar = 5 and Y^bar = 8

Explanation / Answer

1. e> as dependent variable = To be determined/Endogenous/Response, independent variable= Predetermined/Exogenous/Explanatory.

2. a> Y(hat)=a+b.X , Y=a+b.X+e

3. b>

4. d> We estimate the coefficients by minimizing the residual sum of squares.

5. Incomplete question. If you are interested in obtaining the regression equation of Y on X, we get,

Y(hat)= Ybar+ (Sxy/ Sx2).(X-Xbar)

i.e. Y(hat)=4+0.8X

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