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Enter the ordered pairs into lists in your calculator.
About 29 %
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.
Edit,and fill in the values in the lists L1 and L2.
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.
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.
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.
According to our linear regression of the data, about 29 % of all 60-years-olds have homes with broadband.