McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
6. Regression and Median-Fit Lines
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Exercise 2 Page 259

Enter the ordered pairs into lists in your calculator.

About 29 %

Practice makes perfect

We have been given a table with the percent of Americans who have broadband connection at home.

Age 25 30 35 40 45 50
Percent 40 42 36 35 36 32

To write an equation of the regression line for the data, we first have to enter our ordered pairs into lists in our calculator. We can do this by pressing the STAT button.

Illustration of the STAT menu on the calculator
Then we choose the first option in the menu, Edit, and fill in the values in the lists L1 and L2.

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

Once the values have been entered, a regression can be performed by pressing the STAT button again followed by using the right-arrow key to select the CALC menu.

Illustration of the STAT + CALC menu on the calculator

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

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

We find the equation of the regression line by substituting the values for a and b into the formula. We round the values to two decimal places. y= ax+ b ⇓ y= - 0.34x+ 49.48 To estimate the percentage of 60-year-olds with broadband, we substitute x= 60 into the equation and simplify.

y=- 0.34x+49.48
y=- 0.34* 60+49.48
â–¼
Evaluate right-hand side
y=- 20.4+49.48
y=29.08
y≈29

According to our linear regression of the data, about 29 % of all 60-years-olds have homes with broadband.