Question

Use linear regression to find a function that fits the following points (5,2.4), (10,8.9)

Answer 1

The linear function that contains the points (5, 2.4) and (10, 8.9) is given by:

y = 1.3x - 4.1.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope is given by change in y divided by change in x, hence, considering points (5, 2.4) and (10, 8.9), it is given by:

m = (8.9 - 2.4)/(10 - 5) = 1.3.

Hence the function is:

y = 1.3x + b.

When x = 5, y = 2.4, hence we use it to find b as follows:

2.4 = 1.3(5) + b

b = -4.1.

Thus the function is:

y = 1.3x - 4.1.

More can be learned about linear functions at brainly.com/question/24808124

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