Question

Only two data points are required by a

graphing utility to find the sine function of best fit.

Short answer

All the constants are required by a

graphing utility to find the sine function of best fit, graphing utility cannot find the sine function of best fit by only two data points

so statement is False

Step-by-step solution

Step 1. Given data

Given statement

Only two data points are required by a

graphing utility to find the sine function of best fit.

Step 2. Explanation

Consider sine function that fits the arbitrary data is $y=A\sin \left(\omega x-\varphi \right)+B$

Where A is Amplitude of function, B is a vertical shift, $\omega$is the frequency, and $\frac{\varphi }{\omega }$is the phase shift

we need to determine all the constants of the function for the graphing utility to find the sine function of best fit to data, it cannot be done by only two data

so the given statement is false