Question: Example 13 found the regression line = -3.1 + 0.33x for all 51 observations on y = murder rate and x = percent with

Example 13 found the regression line ŷ = -3.1 + 0.33x for all 51 observations on y = murder rate and x = percent with a college education.
a. Show that the predicted murder rates increase from 1.85 to 10.1 as percent with a college education increases from x = 15, to x = 40, roughly the range of observed x values.
b. When the regression line is fitted only to the 50 states, ŷ = 8.0 - 0.14x. Show that the predicted murder rate decreases from 5.9 to 2.4 as percent with a college education increases from 15% to 40%.
c. D.C. has the highest value for x (38.3) and is an extreme outlier on y (41.8). Is it a regression outlier? Why?
d. What causes results to differ numerically according to whether D.C. is in the data set? Which line is more appropriate as a summary of the relationship? Why?

Step by Step Solution

3.26 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a 31 03315 185 31 03340 101 b 80 01415 59 80 01440 24 c DC is a regression outlier ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

531-M-S-L-R (4074).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!