Question
Asked Nov 8, 2019
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The following table shows the average life expectancy, in years, of a child born in the given year.†

Year Life expectancy
2005 77.6
2007 78.1
2009 78.5
2011 78.7
2013 78.8

(e) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1550? (Round your answer to one decimal place.)
 yr

What do you predict as the life expectancy of a child born in 2400? (Round your answer to one decimal places.)
 yr

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Expert Answer

Step 1

Step-by-step procedure to obtain the regression equation using MINITAB:

  • Choose Stat > Regression > Fitted Line plot.
  • In Response, enter the column containing the response (Y) variable as Life expectancy.
  • In Predictors, enter the columns containing the predictor (X) variables as Year.
  • Click OK.

Output using the MINITAB software is given below:

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Regression Analysis: Life expectancy versus Year The regression equation is Life expectancy = - 223.0 0.1500 Year Model Summary R-sq R-sq(adj) 90.12 0.154919 92.59% Analysis of Variance F P Source DF SS MS 37.5 0.009 Regression 1 0.9 0.9 0.072 0.024 Error Total 0.972

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Step 2

From the output, the regression equation is E(t) = –223.0+0.15 t.

(e)

The predicted value for the life expectancy of a child born in 1550 is,

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E(t)-223+0.15(t) E(1550) -223+0.15(1550) = -223+232.5 =9.5

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Step 3

Thus, the predicted value for the life expectancy of a child born in 1550 is 9.5.

The pre...

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E(t)-223+0.15(t) E(1550)= -223+0.15(2400) =-223+360 11 137.0

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