Deck 3: Simple Bivariate Regression

Question 1

What does a simple linear regression analysis examine?

A) The relationship between only two variables
B) The relationship between one dependent and one independent variable
C) The relationship between many variables
D) The relationship between two dependent and one independent variable

Answer 1

A,C

Question 2

Which of the following are correct?

A) The intercept/constant (β₀) is the mean-Y when X=0
B) The intercept is the amount of change in mean-Y when X=0
C) The coefficient is the mean-Y at a certain value of X
D) The coefficient (β) is the amount of change in mean-Y for every unit increase in X

Answer 2

A,D

Question 3

What does the least squares method do exactly?

A) Minimizes the distance between data points
B) Finds the least problematic regression line
C) Finds those (best) values of the intercept and slope that provide us with the smallest value of the residual sum of squares
D) Finds those (best) values of the intercept and slope that provide us with the smallest value of the sum of residuals

Answer 3

C

Question 4

Which of the following measures is optimal for comparing the goodness of the fit of competing regression models involving the same dependent variable?

A) The intercept
B) The coefficient
C) R-square
D) Standard deviation of the residuals

Question 5

What does the following expression(H₀:₁=0) mean?

A) Mean-Y changes as a result of a change in X
B) Mean-Y does not change as a result of change in X
C) Mean-Y value becomes 0 as a result of a change in X
D) Mean-Y value is equal to 0 when X=0