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STAT110_MCG_SC_81614_EV_202502 - aurle Julge
Assignment 4
Question 2 of 7 (t point) I Question Attempt: 1 of 1
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Might we be able to predict life expectancies from birthrates?
Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both \( x \), the number of births per one thousand people in the population, and \( y \), the female life expectancy years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation for this line is \( \widehat{y}=83.14-0.49 x \).
\begin{tabular}{|l|l|}
\hline Birthrate, \( x \) number of births per 1000 people) & Female life expectancy, \( y \) (in years) \\
\hline 48.5 & 62.2 \\
\hline 50.4 & 53.9 \\
\hline 23.8 & 74.3 \\
\hline 35.8 & 66.9 \\
\hline 43.3 & 64.3 \\
\hline 15.1 & 76.1 \\
\hline 31.9 & 62.4 \\
\hline 25.9 & 72.0 \\
\hline 47.3 & 59.1 \\
\hline 50.4 & 58.5 \\
\hline 18.6 & 72.8 \\
\hline
\end{tabular}
(Choose one)
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greater than
Based on the sample data and the regression I
less than
(a) For these data, birthrates that are greater than the mean of the birthrates tend to be paired with female life expectancies that are (Choose one) 0 the mean of the female life expectancies.
(b) According to the regression equation, for an increase of one (birth per 1000 people) in birthrate, there is a corresponding decrease of how many years in female life expectancy?
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