A data set consists of the following data points:(2, 4), (4, 7), (5, 12)The line of best fit has the equation y = 2.5x – 1.5. What does this equation predict for a value of x = 3?

A data set consists of the following data points2 4 4 7 5 12The line of best fit has the equation y 25x 15 What does this equation predict for a value of x 3 class=

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Answer:

C) 6

Step-by-step explanation:

We will substitute 3 in place of x:

y = 2.5(3) - 1.5

y = 7.5 - 1.5

y = 6

The  equation predict for a value of x = 3 in equation  y = 2.5x – 1.5  is  (x, y) = (3, 6)

What is equation predict ?

The prediction equation or regression equation is defined as follows: Predicted Y = a + b1X1 + b2X2 + ⋯ + bkXk .

According to the question

For this case we have the following equation:

y = 2.5x - 1.5

For x = 3 we have:

y = 2.5 (3) - 1.5.

Rewriting:

y = 7.5 - 1.5.

y = 6

Therefore, the ordered pair that predicts the line is:

(x, y) = (3, 6)

Answer:

this equation predict for a value of x = 3:

(x, y) = (3, 6)

Hence, this equation predict for a value of x = 3 is  (x, y) = (3, 6)

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