One of nature's patterns connects the percent of adult birds in a colony that return from the previous year and the number of new adults that join the colony. Here are data for 10 colonies of sparrowhawks: Percent return, X 74 66 81 52 52 16 73 62 45 17 62 18 46 New adults, Y 6 11 12 15 18 (a) Draw a scatter plot of the data. (b) Find the equation of the least squares regression line for predicting y from x using the information below: Σ-613 , Σ-38959, Σ у, 3D 126, Уу- = 1808, x,y, = 7333 n=10 = = (Show the details of your work.) X denotes the percent of adult sparrowhawks that return to a colony from the previous year, and Y denotes the number of new adult birds that join the colony.

One of nature's patterns connects the percent of adult birds in a colony that return from the previous year and the number of new adults that join the colony. Here are data for 10 colonies of sparrowhawks: Percent return, X 74 66 81 52 52 16 73 62 45 17 62 18 46 New adults, Y 6 11 12 15 18 (a) Draw a scatter plot of the data. (b) Find the equation of the least squares regression line for predicting y from x using the information below: Σ-613 , Σ-38959, Σ у, 3D 126, Уу- = 1808, x,y, = 7333 n=10 = = (Show the details of your work.) X denotes the percent of adult sparrowhawks that return to a colony from the previous year, and Y denotes the number of new adult birds that join the colony.

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Description: One of nature's patterns connects the percent of adult birds in a colony that returnfrom the previous year and the number of new adults that join the colony. Here are data for 10colonies of sparrowhawks:81Percent return, XNew adults, Y74666527362521

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

One of nature's patterns connects the percent of adult birds in a colony that return
from the previous year and the number of new adults that join the colony. Here are data for 10
colonies of sparrowhawks:
81
Percent return, X
New adults, Y
74
6
66
52
73
62
52
12
15
16
45
17
62
18
46
18
11
(a) Draw a scatter plot of the data.
(b) Find the equation of the least squares regression line for predicting y from x using the
information below:
n=10 >x, = 613 ,
Ex = 38959, Ey;
= 126, Ey = 1808, Ex,y; = 7333
(Show the details of your work.)
X denotes the percent of adult sparrowhawks that return to a colony from the previous year, and
Y denotes the number of new adult birds that join the colony.

(c) An ecologist uses this regression line to predict how many birds will join another colony when
50 percent of the adults from the previous year return. What is the prediction?
(d) An ecologist uses this regression line to predict how many birds will join another colony when
95 percent of the adults from the previous year return. What is the prediction? Comment on the
appropriateness of using the line in (b) for this prediction.
(e) Calculate the correlation coefficient between X and Y. (Show details of your work.)

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