Lionel observes that traffic is getting worse and it takes him longer to get to work. he records once a week the following data for several weeks. find a line of best fit. use the equation of the line to predict how long it will take him to get to work in week 10.

Respuesta :

the line of best is y = 0.20x + 5.43 and it will take 7.5 min to get to work in week 10.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the data shown in the picture.

Let's suppose the line of best is:

y = mx + c

We can calculate the value of m and c using the formula.

m =  0.20

c =  5.43

The line of best will be:

y = 0.20x + 5.43

Plug x = 10 in the line of best fit:

y = 0.20(10) + 5.43

y = 7.43 ≈ 7.5 min

Thus, the line of best is y = 0.20x + 5.43 and it will take 7.5 min to get to work in week 10.

Learn more about the line of best fit here:

brainly.com/question/14279419

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Ver imagen maheshpatelvVT