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?

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)
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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