Assume you have collected data pairs (x, y) on a certain variety of tree. x is the number of weeks since the tree was planted and y is the height of the tree in inches. a plot of the data points with the best-fit line is given below. what age is predicted by the best-fit line for a height of 50 inches?

The age as is predicted by the best-fit line for a height of 50 inches is:

                                    29 years.

We see that our given line of best fit passes through the point (0,22) and (60,80)

Hence, we will find the equation of the line of best by using the formula:

If a line passes through two point (a,b) and (c,d) then the equation of line is calculated by:

Here we have: (a,b)=(0,22) and (c,d)=(60,80)

Hence, the equation of line is:

Now we are asked to find the value of x when y=50

Hence, on putting y=50 we have:

x=28.9325

which is approximately equal to 29

Hence, the age as is predicted by the line of best fit is:

                             29 years.

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