Interpret the following graphs for multiple linear regression and comment on the validity of model assumptions ResidualResidualPercent20100-1020100-10-202520151050noT-3 -2 -1180 о10 20 30 40Predicted Value0Quantile1-18 -10 -2 6ResidualT2O03T14 22Fit Diagnostics for BodyFatRStudentBodyFat-2504030201003020100。00,-10-0A10 20BooAFit-Mean0Predicted Value030 4010 20Predicted Value00030 40 50Residual00.0 0.4 0.8 0.0 0.4 0.8Proportion LessRStudentCook's D2O-20.150.100.050.00O800.0 0.1O0.2 0.3Leverage0the0 50 100 150 200 250ObservationObservations252Parameters9Error DF243MSE34.95R-Square0.5169Adj R-Square 0.501 BodyFat= -40.487 +0.3199 Age +0.2857 Neck +0.9816 Thigh +0.1323 Knee +0.0679 Ankle +0.1986 Biceps +0.4213 Forearm-2.6906 Wrist25Residual201510-0-5-10--15++++0++255075100+++125150Observation Number++++175+200+++225+250275N252Rsq0.5169AdjRsq0.5010RMSE5.9118

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Answered: Interpret the following graphs for…

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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# of Hurricanes from 1850-1920 year,#hurricanes. 1850,2 1860,1 1870,1 1880,4 1890,4 1900,2 1910,6 1920,8 Mean: 3.500 Standard Deviation: 2.507 # of Hurricanes from 1930-2000 year,hurricanes. 1930,16 1940,9 1950,15 1960,14 1970,8 1980,10 1990,14 2000,23 Mean: 13.625 Standard Deviation: 4.809 1. Calculate the Z score for the difference of the means.
A researcher conducted a Chi-square test to determine whether the progeny of oyster mushroom follows the ratio of 3 grey: 1 white. From his calculation, he found his calculated Chi-square is smaller than the critical Chi-square value from the table. Which one is the CORRECT conclusion? a. Null hypothesis cannot be rejected. The progeny ratio is different than the expected ratio. b. Null hypothesis is rejected. The progeny ratio follows the expected ratio. c. The ratio of the progeny from his experiment does not follow the ratio 3:1. d. The ratio of the progeny from his experiment is consistent with the ratio 3:1.
A company is doing a hypothesis test on the variation of quality from two suppliers. Both distributions are normal, and the populations are independent. use αα = 0.01H0 : σσ 1 2 = σσ 2 2HA : σσ 1 2 > σσ 2 2The standard deviation of the first sample is 5.4022 with a sample size of 21.6.6836 is the standard deviation of the second sample with a sample size of 12.The test statistic (rounded to 3 decimal places) is = Fail to reject the null hypothesis Reject the null hypothesis
The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following: Increasing the difference between the sample mean and the original population mean. Increasing the population standard deviation. Increasing the number of scores in the sample.
The value of the z-score in a hypothesis test is influenced by a variety of factors.Assuming that all other variables are held constant, explain how the value of z isinfluenced by each of the following:a. Increasing the difference between the sample mean and the original populationmean.b. Increasing the population standard deviation.c. Increasing the number of scores in the sample.
Assume that anxiety scores as measured by an anxiety assessment inventory arenormally distributed with μ = 20 and σ = 4. A sample of 4 patients who areundergoing treatment for anxiety is randomly selected, and their mean anxiety scoreX = 22. Is the average anxiety score from patients who are under treatmentsignificantly different from 20? Assume a = .10.
A machine manufactures bolts that are supposed to be 3 inches in length. Each day a quality engineer selects a random sample of 50 bolts from the day’s production, measures their lengths, and performs a hypothesis test of H0 : μ = 3 versus H1 : μ ≠ 3, where μ is the mean length of all the bolts manufactured that day. Assume that the population standard deviation for bolt lengths is 0.1 in. If H0 is rejected at the 5% level, the machine is shut down and recalibrated. a) Assume that on a given day, the true mean length of bolts is 3 in. What is the probability that the machine will be shut down? (This is called the false alarm rate.) b) If the true mean bolt length on a given day is 3.01 in., find the probability that the equipment will be recalibrated.
In a random sample of males, it was found that 25 write with their left hands and 222 do not. In a random sample of females, it was found that 68 write with their left hands and 450 do not. Use a 0.01significance level to test the claim that the rate of left-handedness among males is less than that among females. Identify the test statistic. z enter your response here Identify the test statistic. z=enter your response here
A company manufacturers tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.5 inches. This average is maintained by periodically testing random sampkes of 25 tennis balls. If the t-value falls between -t0.99 and t0.99, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sampke is 56.4 inches and the standard deviation is o.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptablr tennis balls? Find -t0.99 and t0.99 Find the t-value Is the company making acceptable tennis balls?
A manufacturer of cabin bags advertises that on average, the mean weight of their bags is 2kg. The quality control division of the company do regular testing to ensure the weights on average are not more than 2kg. i. Write down the null and alternative hypotheses to test this claim. ii. Explain what it would mean to make a Type II error in this situation. iii. Explain the possible consequences of a Type II error when the test was conducted by the quality control division of the company. iv. Explain the possible consequences of a Type II error if the test was conducted by a consumer advocacy group external to the company.
A statistics professor takes a random sample of 25 students who have taken a special statistics class. He wants to test the null hypothesis that the grades of these students are, on average, less than or equal to those of the population of students who take the regular statistics test. The mean grade for the population is 75. The mean grade for the sample is 86 with a standard deviation of 10. Using a significance level of .05, test the null hypothesis.
A simple random sample of the running time of 70 international movies resulted in a sample mean length of 112 minutes and a sample standard deviation of 7 minutes. Test the claim that international movies have a mean running time of more than 110 minutes at the 0.05 level of signiﬁcance. Assume that the lengths of movies are normally distributed.(a) State the claim, null hypothesis and alternative hypothesis needed to test this claim.Claim: H0: H1:(b) Find the value of the test statistic needed to test this hypothesis.

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