Solution Found!
Solved: esearcher collects data regarding the percent of
Chapter 4, Problem 4CT(choose chapter or problem)
A researcher collects data regarding the percent of all births to unmarried women and the number of violent crimes for the 50 states and Washington, DC. The scatter diagram along with the least-squares regression line obtained from MINITAB is shown. The correlation between percent of births to unmarried women and the number of violent crimes is 0.667. A politician looks over the data and claims that, for each 1% decrease in births to single mothers, violent crimes will decrease by 23. Therefore, percent of births to single mothers needs to be reduced in an effort to decrease violent crimes. Is there anything wrong with the reasoning of the politician? Explain.
Questions & Answers
QUESTION:
A researcher collects data regarding the percent of all births to unmarried women and the number of violent crimes for the 50 states and Washington, DC. The scatter diagram along with the least-squares regression line obtained from MINITAB is shown. The correlation between percent of births to unmarried women and the number of violent crimes is 0.667. A politician looks over the data and claims that, for each 1% decrease in births to single mothers, violent crimes will decrease by 23. Therefore, percent of births to single mothers needs to be reduced in an effort to decrease violent crimes. Is there anything wrong with the reasoning of the politician? Explain.
ANSWER:
Solution:
Step 1 of 2:
We have the Minitab display
The claim is to check is there anything wrong with the reasoning of the politician.