The following table shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003. use a graphing calculator to make a scatter plot of the data. find an equation for and graph the line of regression. then use the equation to predict the percent donated in the year 2015. select one:
a. 609.5
b. 936.7
c. -247.7
d. 229.3
e. 282.3

The correct option is e.

Step-by-step explanation:

Let x be the number of years after 1984 and y be the percent donated. So, the general linear regression equation is

             .... (1)

The following table shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003.

year          :       1984     1989      1993       1997      2001        2003

x                :          0           5           9            13            17             19

Percent (y):        118       144.5     165.7      186.9     208.1         218.7

Using the graphing calculator we get

Substitute a=5.3 and b=118 in equation (1).

The linear regression equation is y=5.3x+118.

For year 2015 the number of years after 1984 is 31. Substitute x=21 in the above equation to predict the percent donated in the year 2015.

The percent donated in the year 2015 is 282.3. Therefore the correct option is e.

14

step-by-step explanation:

14 x 3 = 42