Q1 a) Consider the following data on hourly wage rates (Y), labour productivity (X1) andliteracy rate (X2) in a country ABV:Y90 72 54 42 30 | 12X1 3 56 8 12 14X2 16 10 7 4 3 2i.Calculate the estimators of the regression Y; = B1 + B2X2i + B3X31 + Hiii.Test the hypothesis ß2 = 0 against the alternative B2 > 0 at 5% level ofsignificance.Calculate R? and R² and comment on them.iii.iv.Construct an ANOVA table and check for the significance of the regression at5% level of significance.Do you think that Cov (µ,x) will be non-zero in the model which has low R?Explain.v.b) A random sample of 100 athletes show that their average running time follow anormal distribution with mean µµ and known standard deviation equal to 80 minutes. Letthe null hypothesis be Ho: µ = 56 & H4: µ > 56. Let the rejection region be > 60. Ifu = 62, find the probability of type II error. What is the relationship between Type I andТуре I еrror? Explain(18.75)

Name: Q1 a) Consider the following data on hourly wage rates (Y), labour pr
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Description: Q1 a) Consider the following data on hourly wage rates (Y), labour productivity (X1) andliteracy rate (X2) in a country ABV:Y90 72 54 42 30 | 12X1 3 56 8 12 14X2 16 10 7 4 3 2i.Calculate the estimators of the regression Y; = B1 + B2X2i + B3X31 + Hii

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b) A random sample of 100 athletes show that their average running time follow a normal distribution with mean µ and known standard deviation equal to 80 minutes. Let the null hypothesis be H,: µ = 56 & HA: µ > 56. Let the rejection region be i> 60. If u = 62, find the probability of type II error. What is the relationship between Type I and Туре I егor? Eхplain (18.75)

b) A random sample of 100 athletes show that their average running time follow a normal distribution with mean µ and known standard deviation equal to 80 minutes. Let the null hypothesis be H,: µ = 56 & HA: µ > 56. Let the rejection region be i> 60. If u = 62, find the probability of type II error. What is the relationship between Type I and Туре I егor? Eхplain (18.75)

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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