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

Which equation of the least squares regression line most closely matches the data set Note The variable x represents the years after 1970 Y 57x67 Y 098x65 Y 017 class=

Respuesta :

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.
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Answer:

D. [tex]y = -5.7x + 67[/tex]

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 [tex]y = -5.7x + 67[/tex].

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