Line (Curve) of Best Fit - Desmos Graphing Calculator

Approximate the value of y for x = 3.

Approximate the value of x for y = 3.

Approximate the value of y for x = 4.

Approximate the value of x for y = 4.

Approximate the value of y for x = 5.

Approximate the value of x for y = 5.

Find the equation of the line of best fit. Write it in slope-intercept form. Round your slope and intercept to the nearest tenth!

Using your equation from #20, what grade would you expect someone who studied for 7 hours to get?

Is your prediction in #21 interpolation or extrapolation?

Use your equation to predict the exam score for a student who spent 15 hours studying.

Is your prediction in #23 interpolation or extrapolation?

Which type of prediction is more reliable in this situation (and most), interpolation or extrapolation? Why?