Question

A data set consists of the following data points:(3, 5), (5, 8), (6, 13)The line of best fit has the equation = -3 + 2.5x. What does this equation predict for a value of x = 3?

Answer 1

is the question saying that the three points shown above all share the same slope-int formula: y = -3 + 2.5x ?

Answer 2

i think so

Answer 3

well we have a coordinate that has the x-coordinate of 3 already (3,5) but if we use that formula we get: y = -3 + 2.5(3) -> y = -3 + 7.5 -> y = 4.5

Answer 4

A. 7.5
B. 6
C. 4.5
D. 9
these are the multiple choice answers

Answer 5

okay so we have 4.5 as y.

Answer 6

recall the work that i did in the previous post.
\(y = -3 + 2.5x\)
\(y = -3 + 2.5(3)\)
\(y = -3 + 7.5\)
\(\large \color{green}{y = 4.5}\)

Answer 7

so is the answer 4.5

Answer 8

yes

Answer 9

and you have the work as proof and my thought process :)

Answer 10

thank you so much

Answer 11

you're welcome :)