The table gives the median household income (in 2005 year) for two cities in various years. Let x represent the median household income for citizens of city A and y represent the corresponding median household income for citizens of city B. Find a linear model that expresses the median household income for citizens in city B as a function of the median household income for citizens of city B. Interpret the slope of the linear model. Round numerical values in your answer to three decimal places.
A) slope: median household income is growing at the same rate for city A as it is for city B.
B) slope: median household income is growing at the same rate for city A as it is for city B.
C) slope: median household income is growing at the same rate for city A as it is for city B.
D) slope: median household income is growing faster for city A than it is for city B.
E) slope: median household income is growing slower for city A than it is for city B.

Question

The table gives the median household income (in 2005 year) for two cities in various years. Let x represent the median household income for citizens of city A and y represent the corresponding median household income for citizens of city B. Find a linear model that expresses the median household income for citizens in city B as a function of the median household income for citizens of city B. Interpret the slope of the linear model. Round numerical values in your answer to three decimal places. 
A) slope: median household income is growing at the same rate for city A as it is for city B. 
B) slope: median household income is growing at the same rate for city A as it is for city B. 
C) slope: median household income is growing at the same rate for city A as it is for city B. 
D) slope: median household income is growing faster for city A than it is for city B. 
E) slope: median household income is growing slower for city A than it is for city B.

Quizplus · Accepted Answer

The linear model that expresses the median household income for citizens in city B as a function of the median household income for citizens of city A is y = 0.91x + 15, above. The slope of the linear model is 0.91, which means that for each unit increase in the median household income for citizens of city A, the median household income for citizens of city B increases by 0.91 units. Therefore, the median household income is growing faster for city A than it is for city B.

The Table Gives the Median Household Income (In 2005 Year)