KX3. Fixed effects regression assumptions and standard errors(a) What are the four assumptions for fixed effects regression listed in the textbook?(b.1) Under Assumption 2, are observations independent across entities?(b.2) Under Assumption 2, can observations be correlated over time within an entity?(b.3) You randomly draw a sample of 1000 UCA students' weight in the last 18 months (eachstudent has 18 observations). Based on your answers in (b.1) and (b.2), are observations for the samestudent in different months correlated? Are observations independent across different students?(c) What is autocorrelation?(d) In a panel regression, if the regression errors are both heteroskedastic and autocorrelated, whattype of standard errors should be applied?Accessibility: InvestigateEnglish (United States) Text Predictions: On

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Answered: 3. Fixed effects regression assumptions…

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. Question: Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector-borne disease that could be greatly aﬀected by the inﬂuence of climate change. Table 1 is a summary from a linear regression that uses dewpoint (°C) to predict malaria prevalence in West Africa.Fig. 1: Regression(a) Write the equation of the least square regression line. (b) Find the correlation coeﬃcient r. (c) IsthereastrongcorrelationbetweendewpointandmalariaprevalenceinWestAfrica? (d) Is there a negative association between dewpoint and malaria prevalence in West Africa?
QUESTION 3 Different foods have a different number of calories. The size in grams of an average serving and the weight of the contestant in lose weight program is being studied. The simple linear regression and correlation analysis is performed in a sample of 9 observations and give the results as below: SS = 8400 SSyy = 1067.68 a = 30.134 b = 0.2867 (a) Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the linear correlation coefficient, the intercept and the slope. (b) Test the hypothesis that the slope would be positive at the 10% significance level by showing your solution. (c) Construct an 80% confidence interval for B. Interpret your answer.
QUESTION 2 Possible Lessons: Correlation and Regression AnalysisSpearman’s Rank-Order CorrelationIntroduction to Hypothesis TestingSteps of Hypothesis TestingAppropriate Statistical TestThe t-test and Z-testQuestion:The following data show the percentage of the votes predicted by poll survey (x) for 8 candidates for the senate in different provinces and the percentage of the votes they actually received (y). Test at 5% level of significance if relationship exist between poll survey and actual votes received.Data is attached below.Please show complete and accurate solution. Kindly make the solution clear and readable.
7. Find slop of a linear regression model for the following data: x = [1, 2, 3, 4, 5, 6, 7] z = [ 1.40, 3.78, 4.41, 4.60, 8.40, 8.64, 12.81]. -1.7 -0.5 0.5 O 1.7 CS Scanned with CamScannel
a) Find a correlation coefficient r, round it to 4 decimal places. Do not round partial results. b) Interpret previous result clearly in terms of direction and strength of association. c) Find the equation of regression line. Equation of regression line: …………………………………………
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Anarticle in Technometrics by S. C. Narula and J. F. Wallington Prediction, Linsar Regression, anda Minimum Sum of Relative Erro Vol. 19, 1977) presents data on the selling price (y) and annual taxes (x) for 24 houses. The taxes include local, school and county ta The data are shown in the following table. Sale Price/1000 Taxas/1000 25.9 4.9176 29.5 5.0208 27.9 4.5429 25.9 4.5573 29.9 5.0597 29.9 3.8910 30.9 5.8980 28.9 5.6039 35.9 5.8282 315 5.3003 31.0 6.2712 30.9 5.9592 30.0 5.0500 36.9 8.2464 419 6.6969 40.5 7.7841 43.9 9.0384 37.5 5.9894 37.9 7.5422 44.5 8.7951 37.9 6.0831 38.9 8.3607 36.9 8.1400 45.8 9.1416
4. In a statistical investigation the grade point average (y) and study hour (x) of a group of students are observed as follows: Study hour (x) Grade point (v) 12 17 16 14 11 13 15 3.0 3.2 3.5 4.0 3.8 2.7 3.4 i) Fit a line of y on x and test the significance of regression. ii) Estimate y if x = 17.
Data from the United Nations on individual countries Obesity rates and vegetable consumption by country were organized into the scatter plot below. Linear Regression Equation for this data: y = -0.8449x + 50.328 Correlation Coefficient: 0.5 Question 8 options: Strongly Correlated Weakly Correlated Not correlated Moderately Correlated
A researcher is interested in examining the relationship between spousal abuse and child abuse. Specifically, they are interested in determining whether there is a predictive relationship between spousal abuse and child abuse in 5 county social services offices. Calculate the linear regression line for the following data. Note you have already calculated the first step to this analysis (Pearson's Correlation)
6, Given are five observations collected in a regression study on two variables. 2. 13 20 19 8. 27 23 (a) Develop a scatter diagram for these data. y 30 y 30 30 30 25 25 25 25 20 20 20 20 15 15 15 15 10 10 10 10 5- 5. 10 15 20 25 10 15 20 25 10 15 20 25 10 15 20 25 (b) Develop the estimated regression equation for these data. (c) Use the estimated regression equation to predict the value of y when x = 9.
Question: Consider a random sample of 20 observations of two variables X and Y. The following summary statistics are available: Ey,= 67, null= 135, 2x = %3D 467, and 2x,y,= 342. What is the slope of the fitted simple linear regression line?

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