Multiple Regression

Question 1

What is the symbol that represents correlation coefficient?

Answer 1

correlation coefficient is represented by a r letter.

Question 2

Definition of Regression.

Answer 2

Regression allows u to predict the value of one variable if we know the value of another variable using the straight line formula?

Question 3

How does regression work?

Answer 3

Regression allows u to predict the value of one variable if you know the value of the other variable using the straight line formula.

Straight line formula is 
y= bx + c 
y = dependent variable 
b = slope angle 
x = independent variable 
c = constant/intercept where line crosses the y axis. 

regression uses x value to find out y value using the straight line formula.

Question 4

what is y in straight line formula?

Answer 4

in straight line formula y is dependent variable.

Question 5

What is x in straight line formula?

Answer 5

in straight line formula x is independent variable.

Question 6

Definition of intercept.

Answer 6

Intercept/constant is where the regression line meets the y axis.

It is the value of y when x is zero.

Question 7

Definition of bivariate regression.

Answer 7

Bivariate regression is a straight line regression involving one dependent variable and one independent variable.

Question 8

Definition of multiple regression.

Answer 8

Multiple regression = involves one dependent variable and multiple independent variables.

Question 9

Definition of R squared (R2)

Answer 9

R Squared measures the amount of variation explained. R2 is reported as a percentage. Another word for R squared is coefficient of determination.

Question 10

How do you report r squared?

Answer 10

R squared is reported as a percentage.

Question 11

What is r and r squared?

Answer 11

r is peason’s r it is correlation coefficient. But r squared is the amount of variation explained. R squared is reported as a percentage. r squared is also called coefficient of determination/

Question 12

Coefficient of determination

Answer 12

Coefficient of determination is another word for R squared. It is the amount of variation explained.

Question 13

What is the range for R squared?

Answer 13

R squared ranges from 0 to +1. R squared is reported as a percentage.

Question 14

What are the methods of entering independent variables (predictors) in regression?

Answer 14

the methods of entering predictors are:

1. direct (enter) method.
2. stepwise method
3. hierarchical method

Question 15

What is B in regression?

Answer 15

B is the slope angle. B is the unstandardised coefficient.

Question 16

What is C in regression?

Answer 16

C is constant/intercept it is where the line crosses the y axis. C is the value of y when x is zero.

Question 17

What is beta in regression?

Answer 17

Beta is the correlation coefficient

Question 18

Definition of adjusted R squared.

Answer 18

Adjusted r squared is the percentage of variation accounted for.

Question 19

What is adjusted r squared reported as?

Answer 19

Adjusted R sqaured is the amount of variation explained and it is reported as a percentage.

Question 20

What is rule of thumb for adjusted r squared?

Answer 20

Weak model = less than 20%.
Moderate model = 20-49%
Strong model = 50% and more.

Question 21

What is a weak model for adjusted r squared?

Answer 21

weak model for adjusted r squared is less than 20%.

Question 22

What is a moderate model for adjusted r squared?

Answer 22

Moderate model for adjusted r squared is 20-49%.

Question 23

What is a strong model for adjusted r squared?

Answer 23

Strong model for adjusted r squared is 50% or more.