Respuesta :

mathmate

Step-by-step answer:

The answer is circled in red on the output of the calculator, attached.  This is how we need to look for when we use a graphing calculator, which says

"linear regression, y=5.10x+9.12"

However, we need to check the answer by looking at least one point on the curve.  Say we use the point (10,60) on the straight line, and compare with y(10) = 5.10*10+9.12 = 60.12, quite close to 60.  The other answer options all give numbers far away from 60 when x=10.

Answer:

The correct option is 2.

Step-by-step explanation:

The given data is

x               y

5              36

9              64

12            72

18            96

26           141

35           189

The general form of regression line is

[tex]y\approx ax+b[/tex]

From the given picture of graphing calculator, it is clear that the equation of regression line is

[tex]y\approx 5.098x+9.118[/tex]

Approx the value of a and b upto tenth.

[tex]y\approx 5.10x+9.12[/tex]

The equation of the line of best fit is y ≈ 5.10x+9.12. Therefore the correct option is 2.

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