a We have been given a table with data for

x

and

y .

Minutes, $x$	People, $y$
$1$	$10$
$2$	$100$
$3$	$400$
$4$	$900$
$5$	$1400$
$6$	$1800$
$7$	$2100$

In order to find a line of fit using our calculator, we need to first enter the values. Let's press the $STAT$ button.

Then we choose the first option in the menu, Edit, and fill in the values in lists L1 and L2.

Illustration of the lists on the calculator with six ordered pairs written

We can perform a regression analysis on the data by pressing the $STAT$ button again, followed by using the right-arrow key to select the CALC menu.

This menu lists the various regressions that are available. If we choose the fourth option in the menu LinReg(ax+b) and press $ENTER,$ the calculator performs a linear regression using the data that was entered.

Illustration of the LinReg(ax+b) window on the calculator

We will substitute the values of

a

and

b

into the equation

y = a x + b

to find the equation of the line of best fit.

y = 381 x - 566

Next we want to graph the data and the line of fit on the same coordinate plane. Let's press

Y =

on the calculator. Then we write the equation on one of the rows.

Illustration of the Y= window on the calculator.

To adjust the viewing window we press the button $WINDOW$ and set the values to fit our data.

Illustration of the WINDOW option, how to set the size of the viewing window, on the calculator.

To make the calculator graph both the line and the scatter plot we need to press $STAT PLOT .$

If the scatter plot is Off or if we want to change any settings we press $ENTER .$

To activate the scatter plot place the cursor on the option On and press $ENTER .$ We need to select the first symbol in Type to get a scatter plot. We can now draw the scatter plot and the line of fit by pressing $GRAPH .$

Scatter plot of the data with line of fit as drawn on a calculator

Exercise

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