Chapter 11 - Multiple Linear Regression

Question 1

What is multiple r?

Answer 1

sqrt(r^2)

Question 2

How is a confidense interval for a slope value calculated from an ANOVA table for multiple linear regression, presented by excel?

Answer 2

The standard error * tn-1 (confidense/2)

Question 3

How does r^2 change when variables are added to the model

Answer 3

It tends to increase, as a result the adjusted r^2 is a better value to use

Question 4

What is the formula for the adjusted r^2?

Answer 4

1 - (MS-reg/MS-total)

Question 5

What value should be used to determine how well the model works?

Answer 5

Standard error of the slope values, and the p-valus calculated from that or the F-test.

Question 6

How can one tell a relationship is not linear?

Answer 6

The residuals have a clear pattern

Question 7

How is catagorical data used in multiple linear regression models?

Answer 7

They are given a value of zero or 1 for true or false, their bi value reoresents the increase in the y variable if the catagorical variable is true