The researcher runs an OLS regression with five regressors and a constanton a sample of 453 observations. The value of R² for this regression is0.4871. Subsequently she imposes two restrictions on the coefficientsand runs a corresponding restricted regression. The value of R² isnow 0.4703. Assuming that errors are homoskedastic, compute the Fstatistic for the test of joint validity of the two restrictions. Is the nullhypothesis rejected? Based on your conclusion, are the two restrictionsjointly valid?

Solution: From the given information, sample size is 453, the number of regressors is 5, the value…

Answered: The researcher runs an OLS regression…

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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1. Is this null hypothesis always testable? Why or why not? 2. Consider the case that this null hypothesis is testable. Construct a statistical test and its rejection region for H0 .
Could you answer subquestions 4 and 5?
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In the multiple regression model with a quarterback's salary the response variable Y and the X variables pass completion percentage (PCT), number of touchdowns (TD), and age; the test of joint significance rejected HO: beta1 = beta2 = beta3 = 0. What does that mean? O Most of these X variables are significant in explaining salary. O At least one of these X variables is significant in explaining salary. O Each of these X variables is significant in explaining salary. O The model with all three X variables is significantly better than using sample mean salary alone to estimate expected salary
Suppose that you are interested in testing a joint null hypothesis consisting of three restrictions, say B, = B2 = B3 = 0 in multiple regression. Assume that you have three individual t-statistics for B; = 0, where j = 1,2,3. Consider the following testing procedure: reject the joint null hypothesis if at least one of t-statistics exceeds 1.96 in absolute value. If t-statistics are independent of each other, what is the probability of rejecting the joint null hypothesis when it is true?
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To investigate the relationship between the selling price of a house, yy, in dollars, and the size of the house xx, in square feet, a local builder collected data on a random sample of 120 houses from a certain region. Assume that the conditions for inference for the slope of a regression line are met. The resulting 95 percent confidence interval for the population slope of the regression line relating price and size is given by (62,99). The local builder claims that the selling price of houses from the region increases by $104 for every extra square foot of space in the house. Which of the following best describes the conclusion that can be reached about this claim based on the confidence interval? A)The claim is supported by the interval, since the interval does not contain the value 0. B)The claim is supported by the interval, since all values in the interval are positive. C)The claim is supported by the interval, since the interval does not contain the…
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