Question

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. 7 y = 0. 213x – 358. 4 y = 4. 695x – 9181. 6 y = 4. 695x – 9322. 4.

Answer 1

$Y=0.213x-352$  will represent this linear model shown in the data table.

What will be the linear model for the given data?

Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option

So if we put the value x=1980 in the $Y=0.213x-352$  then

$Y=0.213(1980)-352$

$Y=69.74$

These values are closest to 70.1 whereas other options do not satisfy the condition.

Thus $Y=0.213x-352$  will represent this linear model shown in the data table.

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