Question

A sociologist recorded the estimated life expectancies of women born in center city. Use data from women born in 1710 and 2000 to create linear model that predicts the life expectancy, in years(y) of a female born in a given year (x)

Answer 1

Explanation:

I think the below is your full questions:

A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 2000 to create a linear model that predicts the life expectancy, in years, (y) of a female born in a given year (x). . . Year Born Life Expectancy (years). 1960 66.1. 1970 67.6. 1980 70.1. 1990 71.9. 2000 74.0. 2010 75.9. Which equation represents this linear model?

y = 0.213x – 352.0

y = 0.213x – 358.4

y = 4.695x – 9181.6

y = 4.695x – 9322.4

Here is my answer:

Plug in the values of x into the equation for a double check in each option:

Let's try 1980. we have:

a) y = 0.213 (1980) - 352.0

<=> y = 69.74

closest to 70.1 while the other options do not satisfy the condition.

b) y = 0.213 (1980) - 358.4 = 63.43

c) y = 4.695(1980) – 9181.6 = 114.5

d) y = 4.695(1980) - 9322.4 = -26.3

So a is the correct answer