What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
A. y = 0.894x + 0.535
B. y = -0.894x + 0.535
c. y=0.535x+0.894
D. y= -0.535x + 0.894

And the slope would be:

Now we can find the means for x and y like this:

And we can find the intercept using this:

So the line would be given by:

And the best option is:

A. y = 0.894x + 0.535

Step-by-step explanation:

We have the following dataset given

x: 5,6,9,10,14

y: 4,6,9,11,12

We want to find the least-squares line appropriate for this data given by this general expresion:

Where m is the slope and b the intercept

For this case we need to calculate the slope with the following formula:

Where:

So we can find the sums like this:

With these we can find the sums:

And the slope would be:

Nowe we can find the means for x and y like this:

And we can find the intercept using this:

So the line would be given by:

And the best option is:

A. y = 0.894x + 0.535

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation: