25 POINTS!! The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of best fit. Then use the equation to predict how long it will take to climb and come back down the three rock formations. Type the correct answer in each box. Round your answers to the nearest hundredth.

Climb Height (feet) Time (minutes)
1 120
2 215
3 400

The line of best fit is: y = -4.883 + 0.395·x

Step-by-step explanation:

The data provided is:

Time (in min.) Height (ft.)

     30             85

     45            120

    115            298

     87            194

    160            434

     60            241

    135            351

    117            339

     55            180

    145            400

     95            248

    150            370

     67            155

    120            296

    100            271

     88            255

    138            315

     75            215

    167            405

    120            317

In this case we need to form the line of best fit to predict how long it will take to climb and come back down the three rock formations.

So, the dependent variable is the time and the independent variable is the height.

The general form of the line of best fit is:

y = a + b·x

Compute the values of a and b as follows:

Thus, the line of best fit is:

y = -4.883 + 0.395·x