Question

Which equation of the least squares regression line most closely matches the data set?

Note: The variable x represents the years after 1970.

Y= -5.7x-67
Y= -0.98x+65
Y= -0.17x+76
Y= -5.7x +67

Answer 1

Judging by the first and last points (0, 65), (8, 21), the slope is about -44/8 = -5.5 and the y-intercept is about 65.

The 4th selection is appropriate.

Answer 2

Answer:

D. $y = -5.7x + 67$

Step-by-step explanation:

Let us take the year 1970 as the 0th year.

So, the corresponding table of values is,

x                              y

0                             65

2                             58

4                             45

6                             32

8                             21

Using the linear regression calculator, we see that,

The closest equation of the regression line is $y = -5.7x + 67$.