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Daren S. Starnes, Daniel S. Yates, David S. Moore

5 Edition

Chapter 3, Problem 47

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Exercise 6 (page 159 ) examined the relationship between the number of new birds $y$ and percent of returning birds $x$ for 13 sparrowhawk colonies. Here are the data once again.$$\begin{array}{lrrrrrrrrrrrrr}\hline \text { Percent return: } & 74 & 66 & 81 & 52 & 73 & 62 & 52 & 45 & 62 & 46 & 60 & 46 & 38 \\\text { New adults: } & 5 & 6 & 8 & 11 & 12 & 15 & 16 & 17 & 18 & 18 & 19 & 20 & 20 \\\hline\end{array}$$(a) Use your calculator to help make a scatterplot.(b) Use your calculator’s regression function to find the equation of the least-squares regression line. Add this line to your scatterplot from (a).(c) Explain in words what the slope of the regression line tells us.(d) Calculate and interpret the residual for the colony that had $52 \%$ of the sparrowhawks return and 11 new adults.

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03:19

Bird colonies Exercise 6$(\text { page } 159)$ examined the relationship between the number of new birds $y$ and percent of retuming birds $x$ for 13…

06:11

Bird colonies Exercise 6$(\te…

05:46

Bird colonies Return to the data of Exercise 53 on sparrowhawk colonies. We’ll use these data to illustrate influence.

(a) Make a scatterplot of th…

08:37

Ornithologists, scientists who study birds, tag sparrow hawks in 13 different colonies to study their population. They gather data for the percent of…

Transcript

We’Re examining the relationship between the number of new birds, y and percent of returning birds x for 13 shot colonies. Here’S the data- i have already entered it into the demos, graphing calculator. We want to use the calculator to make a scatter plot once you added the table and included the data. There is a zoom fit button and we can see the scattered plot. We want to use the calculators regression feature on decimal. That’S y 1 is approximately a x 1 plus b by substituting into the equation. We’Ve got our regrets or leased squares regression line. We can see it graph with the data. So for a just see the graph for b. Our progression equation will be…