6. What is the difference between age-specific mortality and age-specific survivorship? K/U 7. Figure 1 shows the survivorship rate for the bluegrass plant. What is the probability a bluegrass plant will be alive at 11 months but not at 15 months? T/I A 1.000 0.000 0.200 0.400 0.600 0.800 0-3 4-6 7-9 10-12 13-15 16-18 19-21 22+ Age interval (months) Figure 1 8. How can survivorship curves help a biologist monitor a population? T/I MAIN IDEA: There is an inverse relationship between fecundity and parental care. In general, the higher the fecundity of a species, the lower the parental care is. 9. Draw a graph to illustrate the relationship between fecundity and the amount of parental care a species provides. K/U C 10. Describe the fecundity and amount of parental care for humans. Does it fit the pattern? Why or why not? T/I A
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Table 12.20 shows the life expectancy for an individual born in the United States in certain years. $$\begin{array}{|c|c|}\hline \text { Year of Birth } & {\text { Life Expectancy }} \\ \hline 1930 & {59.7} \\ \hline 1940 & {62.9} \\ \hline 1950 & {70.2} \\ \hline 1950 & {71.5} \\ \hline 1987 & {75} \\ \hline 1987 & {75.7} \\ \hline 2010 & {78.7} \\ \hline\end{array}$$ a. Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a scatter plot of the ordered pairs. c. Calculate the least squares line. Put the equation in the form of: $\hat{y}=a+b x$ d. Find the correlation coefficient. Is it significant? e. Find the estimated life expectancy for an indidual born in 1950 and for one born in 1982 f. Why aren't the answers to part e the same as the values in Table 12.20 that correspond to those years? g. Use the two points in part e to plot the least squares line on your graph from part b. h. Based on the data, is there a linear relationship between the year of birth and life expectancy? i. Are there any outliers in the data? j. Using the least squares line, find the estimated life expectancy for an individual born in 1850. Does the least squares line give an accurate estimate for that year? Explain why or why not. k. What is the slope of the least-squares (best-fit) line? Interpret the slope.
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POPULATION STATISTICS The table shows the life expectancies of a child (at birth) in the United States for selected years from 1920 to 2000. (Source: U.S.National Center for Health Statistics) A model for the life expectancy during this period is $ y = -0.0025t^2 + 0.574t + 44.25, 20 \le t \le 100 $ where represents the life expectancy and is the time in years, with $ t = 20 $ corresponding to 1920. (a) Use a graphing utility to graph the data from the table and the model in the same viewing window.How well does the model fit the data? Explain. (b) Determine the life expectancy in 1990 both graphically and algebraically. (c) Use the graph to determine the year when life expectancy was approximately 76.0. Verify your answer algebraically. (d) One projection for the life expectancy of a child born in 2015 is 78.9. How does this compare with the projection given by the model? (e) Do you think this model can be used to predict the life expectancy of a child 50 years from now?Explain.
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