Consider the modelYi = Bo+ Bi Xitewhere X₂ = {0, 1}, that is it is a binary predictor. Using the formulaeΣ(X-X) (Yi-Y)Σ (X - x)”Then show it simplifies to(2ii): show thatand using the notations that n is the sample size, no is the number of observations that X₁ = 0, n₁ is thenumber of observations that X; = 0. It is easy to see that X = n₁/n and the sample average for the 0-groupYo = Σi:z:=oYi/no and sample average for the 1-group Y₁ = E=1 Yi/m₁.=0Show the following results:(2i): First show3₁3₁==B =Ỳ - BÀno(0)(Yo - Y) + ¹₁(1 − ¹)(Ỹ₁ − Ỹ)no(-²+₁(-1) ²3₁ = Y₁ - Yo-Bo = Yo.

Consider the model Yi=β0+β1⋅Xi+ϵ.Xiϵ{0,1}, that is X is a binary…

Answered: 2 . Consider the model Yị = where X,…

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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You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2You obtain a sample from the first population with 71 successes and 523 failures. You obtain a sample from the second population with 76 successes and 658 failures. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second…
Is there a significant difference on the ratings of the respondents on X11 when grouped according to X2? Statement of the Problem: Is there a significant difference on Productline – X11 when grouped according to Industry Type – X2? Null Hypothesis: There is no significant difference on Productline – X11 when grouped according to Industry Type – X2. Note: The coding for Industry Type is 0 for Magazine Industry and 1 for Newsprint Industry. interpret the T-Test results
6. A Pearson's r correlation coefficient w/ a negative sign implies that: O As the explanatory variable decreases, the response variable increases O As the explanatory variable decreases, the response variable decreases O As the independent variable increases, the dependent variable increases O As the independent variable increases, the dependent variable does not change
1.
Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test. The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4. If you are doing the test with α = .01, and two tails, what would he correct t-critical be?
A production superintendent claims that there is no difference between the employee accident rates for the day versus the evening shifts in a large manufacturing plant. The number of accidents per day is recorded for both the day and evening shifts for n = 100 days. It is found that the number of accidents per day for the evening shift XE exceeded the corresponding number of accidents on the day shift xp on 63 of the 100 days. Do these results provide sufficient evidence to indicate that more accidents tend to occur on one shift than on the other or, equivalently, that P(XE > XD) # 1/2?
a production line is producing light bulbs. 90% of the bulbs are good and .10% are defective. Suppose each bulbls condition is dependent of the other bulbs condition Select three buls at randon: 1. P(all 3 are good)=? 2. P( 2 of 3 are good)= 3. P(1 of 3 are good)=
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A study of fox rabies in southern Germany gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region 1 gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 3 7 8 7 5 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 4 2 4 1 3 8 5 4 4 4 2 2 5 6 9 Note: If a two-sample t-test is appropriate, for degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.Use a calculator with sample mean and sample standard deviation keys to find x1 and s1 in region I, and x2 and s2 in region II. (Round your answers to two…
A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 1 9 9 9 7 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 1 1 5 1 6 8 5 4 4 4 2 2 5 6 9 What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)
Two teachers had 30 of their students take a test. Teacher A found a mean of 78.6 with a SD-3.5 while teacher B found a mean of 77.3 and a SD-4.1. At the 97% level, test the opnion that class B is less than class A. 1. Is the test (A-Left Tailed, B-Right Tailed, C-2-Tailed) (separate with a comma if there are 2) 2. Critical Value 3. Test statistic 4. 3-decimal p-Value
3. Let X, X2, .. X5, be a random sample from a population having mean u and variance o?, and let ô, =(x, + X, + X, + X,) and ô, =(2x, + X, + X, - X,) be two estimates of u. * Which of these two estimators is unbiased? * Which is the better estimator, and why? %3D

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