For a sample of 30 Australian cities, a sociologist studies the crime rate in each city (crime per 100,000 residents) as a function of its poverty rate (in %) and its average income (in $1,000). A portion of the regression results shows that the coefficients for poverty and average income are 54.22 and 5.10, respectively. Based on this information, the coefficient for poverty can be interpreted as follows. Note: Y = crime rate in each city (crime per 100,000 residents); X1 = poverty rate (in %); and X2 = average income (in $1,000).

a.
For a given poverty rate, average crime rate in each city is estimated to increase by 54.22 crimes per 100,000 residents for each increase in average income.

b.
The mean crime rate in each city is estimated to increase by 5.10 crimes per 100,000 residents for each increase in average income.

c.
The mean crime rate in each city is estimated to increase by 54.22 crimes per 100,000 residents for each percentage increase in poverty rate.

d.
For a given average income, mean crime rate in each city is estimated to increase by 54.22 crimes per 100,000 residents for each percentage increase in poverty rate.

Question

For a sample of 30 Australian cities, a sociologist studies the crime rate in each city (crime per 100,000 residents) as a function of its poverty rate (in %) and its average income (in $1,000). A portion of the regression results shows that the coefficients for poverty and average income are 54.22 and 5.10, respectively. Based on this information, the coefficient for poverty can be interpreted as follows. Note: Y = crime rate in each city (crime per 100,000 residents); X1 = poverty rate (in %); and X2 = average income (in $1,000).

	a.	For a given poverty rate, average crime rate in each city is estimated to increase by 54.22 crimes per 100,000 residents for each increase in average income.
	b.	The mean crime rate in each city is estimated to increase by 5.10 crimes per 100,000 residents for each increase in average income.
	c.	The mean crime rate in each city is estimated to increase by 54.22 crimes per 100,000 residents for each percentage increase in poverty rate.
	d.	For a given average income, mean crime rate in each city is estimated to increase by 54.22 crimes per 100,000 residents for each percentage increase in poverty rate.

Accepted Answer

The Answer is in the image, click to view ...

Question

For a sample of 30 Australian cities, a sociologist studies the crime rate in each city (crime per 100,000 residents) as a function of its

Step by Step Solution

Step: 1

Get Instant Access to Expert-Tailored Solutions

Step: 2

Step: 3

Ace Your Homework with AI

Recommended Textbook for

College Algebra Enhanced With Graphing Utilities (Subscription)

Students also viewed these Mathematics questions

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question