Question

The​ least-squares regression equation is ModifyingAbove y with caretyequals=659.8659.8xplus+15 comma 67315,673 where y is the median income and x is the percentage of 25 years and older with at least a​ bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.70560.7056. Complete parts​ (a) through​ (d).

15
20
25
30
35
40
45
50
55
60
20000
55000
Bachelor's %
Median Income



A scatter diagram has a horizontal axis labeled Bachelor's % from 15 to 60 in increments of 5 and a vertical axis labeled Median Income from 20000 to 55000 in increments of 5000. Points are scattered around a line that rises from left to right and has a slope of about 700.
​(a) Predict the median income of a region in which 3030​% of adults 25 years and older have at least a​ bachelor's degree.
​$nothing ​(Round to the nearest dollar as​ needed.)

Answer 1

To predict the median income of a region where 30% of adults 25 years and older have at least a bachelor's degree, use the least-squares regression equation.

Step-by-step explanation:

To predict the median income of a region where 30% of adults 25 years and older have at least a bachelor's degree, you can use the least-squares regression equation. In this equation, the x-value represents the percentage of adults with a bachelor's degree.

Substitute the x-value of 30 into the equation: y = 659.8(30) + 15,673.

Calculating this equation will give you the predicted median income for the region.