Question

question 9 of 10
a data set consists of the following data points:
(3,5),(5,8),(6,13)
the line of best fit has the equation ( y = 2.5x - 3 ). what does this equation
predict for a value of ( x = 3 )?
a. 6
b. 7.5
c. 4.5
d. 9

Explanation:

Step1: Substitute \(x = 3\) into the equation

Given the equation \(y = 2.5x-3\), when \(x = 3\), we have \(y=2.5\times3 - 3\).

Step2: Calculate the value of \(y\)

First, calculate \(2.5\times3=\frac{5}{2}\times3=\frac{15}{2} = 7.5\). Then \(y=7.5-3\).

$$y = 4.5$$

Answer:

C. 4.5