Regression

Question 1

Multiple regression

Answer 1

A hypothesis test done on 2+ interval/ratio IVs, with an interval/ratio DV. The goal is to predict the DV (criterion) using the IV (predictor).

Question 2

Simple regression equation

Answer 2

ŷ = a + bx

Question 3

Simple regression

Answer 3

A hypothesis test done on 1 interval/ratio IV, with an interval/ratio DV. The goal is to predict the DV (criterion) using the IV (predictor).

Question 4

Criterion

Answer 4

Dependent variable (DV), represented by “ŷ”

Question 5

Predictor

Answer 5

Independent variable (IV), represented by “x”

Question 6

Coefficient

Answer 6

slope, represented by “b”

Question 7

Constant

Answer 7

y-intercept, represented by “a”

Question 8

Null hypothesis

Answer 8

Ŷ ≠ Y. The regression equation does not significantly predict y- values. PRE is NOT significant (not significantly different in estimating DV value from using the mean).

Question 9

Alternative hypothesis

Answer 9

Ŷ = Y. The regression equation does

significantly predict y-values. PRE IS significant (significantly different in estimating DV value from using the mean).

Question 10

Proportionate Reduction in Error (PRE)

Answer 10

Percent reduction in error term obtained by using regression over mean.

Question 11

Error term

Answer 11

There is always some error between ŷ and y (distance). Error = y - ŷ
y = a + bx + ε (error term)