Question

Help pleaseee!!!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

Answer 1

Answer: E. 282.3

The unit rate for the most recent years (2001&2003) is 5.3. Multiply that by the number of years there was until 2015 and add it to 218.7 to get 282.3.

Answer 2

Answer:

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

$y=ax+b$              .... (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

$a=5.3,b=118$

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

$y=5.3x+118$

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.

$y=5.3(31)+118$

$y=282.3$

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