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Chapter 2: Q54. (page 95)

Use the table that shows the life expectancy for people born in various years.

Find the prediction equation.

Short Answer

Expert verified

The prediction equation of life expectancy of a person is y=0.18x+67.9

Step by step solution

01

Step-1 – Determine the given value.

Consider year as x coordinate and expectancy as y coordinate.

Also consider 1950 as the 0 because the life expectancy in the table starts from 1950.

We have data of people born in various years.

\[(0,68.2)\]\[(10,69.7)\]\[(20,70.8)\]\[(30,73.7)\]\[(40,75.4)\]\[(47,76.5)\]

02

Step-3 – Determine the slope.

Use the point(10,69.7) and (47,76.5)to find the slope

localid="1647305641273" m=y2鈭�y1x2鈭�x1m=76.5鈭�69.747鈭�10m=6.837m=0.18

03

Step-4 – Determine the equation.

Use the point-slope form

y鈭�y1=m(x鈭�x1)y鈭�69.7=0.18(x鈭�10)y鈭�69.7=0.18x鈭�1.8y=0.18x+67.9

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