The correlation coefficient r between the age of a homeowner, x, and the number of years remaining on the homeowner's mortgage, y, is 0.485. what percent of the variation in the number of years remaining on a mortgage can be explained by differences in homeowners' ages? question 9 options: 23.5% 48.5% 51.5% 97%

Solution: We are given that the correlation coefficient between the age of a homeowner, x , and the number of years remaining on the homeowner's mortgage, y, is 0.485

We know that coefficient of determination is the percent of the variation in the dependent variable that is explained by the independent variable. The coefficient of determination is the square of correlation coefficient and is denoted by

Therefore, we have:

denotes

Hence the option 23.5% is correct

answer:

c 60% on edg

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.