Question

Use the line of best fit to estimate the French score for a student who got 65 in maths.

Answer 1

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

$y = mx + b$

In which:

• m is the slope.

• b is the y-intercept.

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

$m = \frac{26 - 65}{90 - 10} = -0.4875$

Then:

$y = -0.4875x + b$

Point (10,65) means that when $x = 10, y = 65$, and this is used to find b.

$y = -0.4875x + b$

$65 = -0.4875(10) + b$

$b = 69.875$

Hence:

$y = -0.4875x + 69.875$

For a student who got 65 in math, x = 65, and hence:

$y = -0.4875(65) + 69.875 = 38.1875$

The estimated French score is of 38.1875.

For more on linear functions, you can check brainly.com/question/16302622