Chapter 4.6, Problem 2CYU

To determine

The value of percentage of 60 year old with broadband at home using linear extrapolation and regression equation.

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

Answer to Problem 2CYU

The regression equation is $y=-0.34x+49.48$ and the percentage for 60 year old man is 29%.

Explanation of Solution

Given information: The given data between the age and percentage is shown as

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

Calculation: With the help of given data, the equation for regression line using the calculator is written as,

  $y=-0.34x+49.48\left(\text{Regression line}\right)\mathrm{......}\left(1\right)$

Now, the value for $\left(y\right)$ when $\left(x=60\right)$ from (1) can be calculated as

  $\begin{array}{c}y=-0.34\left(60\right)+49.48\\ =-20.4+49.48\\ =29.08\%\end{array}$

Hence, the percentage for 60 year old man is approximately 29%.