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Rita is starting a running program. The table shows the total number of miles she runs in different weeks. What is the equation of the line of best fit for the data? State each number to the thousandths place. y=_x+_

Rita is starting a running program The table shows the total number of miles she runs in different weeks What is the equation of the line of best fit for the d class=

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Answer:

The best fit line is [tex]y = 1.671x + 4.699[/tex]

Step-by-step explanation:

We are given,

The table representing the number of miles run in different weeks is,

Week                        Miles Run

1                                        5

2                                       8

4                                       13

6                                       15

8                                       19

10                                     20

Using the linear regression calculator, we see that,

The equation of the line best fit for the data is [tex]y = 1.671x + 4.699[/tex].

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You can use the least squares formula to know the slope and y-intercept.

The best fit line for given data is [tex]y = 1.671x + 4.699[/tex]

What are the slope and y intercept values when using least squares of the best fit line?

[tex]m = slope = \dfrac{N\sum(xy) - \sum(x) \sum(y)}{N\sum(x^2) - \sum(y^2)}\\ \\ b= y\: intercept = \dfrac{\sum(y) -m\sum(x)}{N}[/tex]

The equation of best fit line is y = mx + b

Here N represents total points we have got (here 6)

Thus, using this formula, we get:

m = 1.671, b = 4.699

Thus, the best fit line would be:

[tex]y = mx + c\\ y = 1.671x + 4.699[/tex]

Learn more about least squares line here:

https://brainly.com/question/13972244

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