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

Sagot :

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

A linear function has the following format:

[tex]y = mx + b[/tex]

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:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

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

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

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

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

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