Which of the following statements is/are TRUE? Select allthat apply.If the regression errors are homoskedastic, the OLS estimators areBLUE (best linear unbiased estimators) provided that the threeleast squares assumptions hold.Heteroskedastic errors violate at least one of the three leastsquares assumptions.The formulas to compute Standard Errors of the estimators areusually more simplified when you assume heteroskedastictiy.In the presence of heteroskedasticity, the OLS estimators are nolonger unbiased.If the errors are heteroskedastic but you assume that they werehomoskedastic, your computed standard errors will not be correct,and you won't be able to do valid statistical inference.

Homoscedasticity is the condition that the error term must have equal variance throughout he…

Answered: Which of the following statements…

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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Solve the second question in regression analysis
1.
Bxi + €i, where €; are independently and Consider a simple linear regression model Y; = identically distributed with mean 0 and variance o?, and i = 1,..., n. Note: this model does not have a intercept term. Derive the Best Linear Unbiased Estimator (BLUE) for B. Denote this by BBLUE. Make sure to state why this is the BLUE.
Let Y = β0 + β1x + E be the simple linear regression model. What is the interpretation of the least squares estimate for β0? Select one: a. It is an estimate of the expected value of the response variable Y when the explanatory variable X is zero. b. It is an estimate of the change in the expected value of the explanatory variable X for every unit increase in the response variable Y. c. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X. d. It is an estimate of the expected value of the explanatory variable X when the response variable Y is zero.
x 5.7 4.1 6.2 4.4 6.5 5.8 4.9 y 1.9 4.8 0.8 3.9 1.2 1.7 3.0 (a) Computethecoefficientofdetermination. (b) Howmuchofthevariationintheoutcomevariableisexplainedbytheleast-squares regression line?
The value α that represents the probability of type I error is often referred to as the __________________________ of the test.
Which of the following is/are the assumptions of linear models:. The response variable is normally distributed The residuals are normally distributed All the observed units are independent from each other. The relationship between the response variable and the predictors are linear All of the above None of the above.
Which of the following is true of the least-squares regression line y = b1x + bo? Select all that apply. OA. The least-squares regression line always contains the point (x,y). B. The least-squares regression line always contains the point (0,0). O C. The predicted value of y, y, is an estimate of the mean value of the explanatory variable for that particular value of the response variable. O D. The least-squares regression line maximizes the sum of squared residuals. O E. The least-squares regression line minimizes the sum of squared residuals. O F. The sign of the linear correlation coefficient, r, and the sign of the slope of the least-squares regression line, b1, are the same. D G. The predicted value of y, y, is an estimate of the mean value of the response variable for that particular value of the explanatory variable. Click to select your answer(s) and then click Check Answer. Check Answer Clear All All parts showing acer esc $ 4
Students who complete their exams early certainly can intimidate the other students, but do the early finishers perform significantly differently than the other students? A random sample of 37 students was chosen before the most recent exam in Prof. J class, and for each student, both the score on the exam and the time it took the student to complete the exam were recorded. a. Find the least-squares regression equation relating time to complete (explanatory variable, denoted by x, in minutes) and exam score (response variable, denoted by y) by considering Sx = 15, sy = 17,r = 39.706, x = 90, ỹ = 78 b. The standard error of the slope of this least-squares regression line was approximately (Sp) is 20.13. Test for a significant positive linear relationship between the two variables exam score and exam completion time for students in Prof. J's class by doing a hypothesis test regarding the population slope B1. Write the null and Alternate hypothesis and conclude the results. (Assume that…
With multiple regression, the null hypothesis for the entire model now uses the p test. True False
Espan Interpreting technology: The following display from the TI-84 Plus calculator presents the least-squares regression line for predicting the price of a certain stock (y) from the prime interest rate in percent (x). LinReg y=a+bx a = 2.39562641 do b=0.37929688 2=0.4130321711 r=0.64267579 Part: 0 /3 Part 1 of 3 Write the equation of the least-squares regression line. Use the full accuracy shown in the calculator output (do not round your answers). Regression line equation: y = Part 2 of 3 What is the correlation between the interest rate and the yield of the stock? The correlation coefficient is Part: 2 /3 Part 3 of 3 Predict the price when the prime interest rate is 6%. Round the answer to at least four decimal places. When the prime interest rate is 6%, the price is predicted to be
5

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