Question

Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:

Answer 1

Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

Solution:

The general form of least-squares regression line is:

$\hat{y}=mx+b$           ...(i)

Where, m is the slope and b is the y-intercept.

By using the desmos graphing calculator, we get

$m\approx 2.55,b\approx -6.435$

Substitute these values in (i).

$\hat{y}=(2.55)x+(-6.435)$

$\hat{y}=2.55x-6.435$

Therefore, the correct option is A.

Answer 2

The graph of regression line is attached below.

The equation of regression line is $y=2.55x-6.435$

Equation of regression line:

A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.

First we have to enter the given table in graphing calculator,

After entering the data given into table,

We get,   m= 2.55  and b= -6.435

So that, the equation of regression line is $y=2.55x-6.435$

Learn more about the regression line here;

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