Question

the scatter - plot shows the relationship between two variables t and d. which of the following equations is the most approximate linear model for the data shown?
a. d=-48.1 + 2.02t
b. d = 148.1+2.02t
c. d = 371.8+2.02t
d. d = 406.8+2.02t

Explanation:

Step1: Estimate y - intercept

When $t = 230$, $d\approx420$. Substitute $t = 230$ into each equation.

Step2: Check options

For a: $d=-48.1 + 2.02\times230=-48.1+464.6 = 416.5$.
For b: $d=148.1+2.02\times230=148.1 + 464.6=612.7$.
For c: $d=371.8+2.02\times230=371.8+464.6 = 836.4$.
For d: $d=406.8+2.02\times230=406.8+464.6=871.4$. Option a is closest.

Answer:

A. $d=-48.1 + 2.02t$