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asambeis [7]
1 year ago
7

Assuming the data is best modeled by a linear function predict the number of gallons used if she drives at an average of 62 mph

A 39 gallons B 36 gallons C 51 gallons D 47 gallons

Mathematics
1 answer:
ra1l [238]1 year ago
8 0
Linear regression

Let's graph the points of the given table, where the Speed will correspond to the x axis and the gallons to the y axis.

We have the following plot:

Let's draw a line that join the first point (20, 23) and the last point (50,35)

We have that this line is a good approximation to a linear regression of the data.

If we observe the point where x = 62 mph, we will se that y obtains a value of 40:

Then, we have that if she drives at 62 mph she will use approximately ≈40 gallons

The choice that bests fits 40 gallons is 39.

<h2>Answer: A. 39 gallons</h2>

If we verify with a calculator, we will have that the linear regression is given by the green line

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Pie

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

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b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

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