Here is one way in which nature regulates the size of animal populations: high population dehsltyattracts predators, which remove a higher proportion of the population than when the density of theprey is low. One study looked at kelp perch and their common predator, the kelp bass. On each of fouroccasions, the researcher set up four large circular pens on sandy ocean bottoms off the coast ofsouthern California. He randomly assigned young perch to 1 of 4 pens so that one pen had 10 perch,one pen had 20 perch, one pen had 40 perch and the final pen had 60 perch. then he dropped the netsprotecting the pens, allowing bass to swarm in, and counted the number of perch killed after two hours.A regression analysis was performed on the 16 data points using x = number of perch in pen and y =proportion of perch killed. Here is a residual plot and a histogram of the residuals.0,4 -0.30.20.1-0.0-0.1 --0.2--0.3 --0.4102030405060Number of perchStarnes & Tabor, The Practice of Statistics, 6e, © 2018Bedford, Freeman & Worth High School Publishers3-0.4 -0.3 -0.2 -0.10.00.10.2 03ResidualMacBook AirD00000F4FIF2F3FSF6F7トトF8F9F10@#32$&*36.8WERYUP5Frequencyjenpisə PredictorCoefStdev.t-ratio0.120490.092691.300.215ConstantPerch0.0085690.0024563.490.004S = 0.1886R-Sq46.5%R-Sq(adj)42.7%!!k whother theet.le3. What is the value of SE,? Interpret this value4. Find the critical value for a 90% confidence interval for the slope of the true regression line. Thencalculate and interpret the confidence interval5. Based on the interval, is there convincing evidence of a linear association between number of perchand percent killed? Explain

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Formula for constructing confidence interval for the slope of the true regression line is…

Math

Statistics

Predictor Coef Stdev. t-ratio Constant 0.12049 0.09269 1.30 0.215 Perch 0.008569 0.002456 3.49 0.004 * - 0.1886 R-Sq 46.5% R-Sq(adj) 42.7% %3D et. 3. What is the value of SE,? Interpret this value 4. Find the critical value for a 90% confidence interval for the slope of the true regression line. Then calculate and interpret the confidence interval 5. Based on the interval, is there convincing evidence of a linear association between number of perch and percent killed? Explain

Predictor Coef Stdev. t-ratio Constant 0.12049 0.09269 1.30 0.215 Perch 0.008569 0.002456 3.49 0.004 * - 0.1886 R-Sq 46.5% R-Sq(adj) 42.7% %3D et. 3. What is the value of SE,? Interpret this value 4. Find the critical value for a 90% confidence interval for the slope of the true regression line. Then calculate and interpret the confidence interval 5. Based on the interval, is there convincing evidence of a linear association between number of perch and percent killed? Explain

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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