Suppose that you have the following three regression models:Yi B₁ + B₂x₁ + Ujregression)Y₁ = a₁ + a₂x₁ + eį, if i is malemale individuals)Yi = ₁ + ₂x₁ + Ei, if i is female (separate regression forfemale individuals)ESSRSSThe error terms satisfies that E[ui] = E[ei] = E[ei] = 0. Then, wefind the following RSS and ESS:PooledRegression124.325(separate regression for(pooled71.111.4separateseparateregression for regression formale individuals femaleindividuals56.68.6The number of sample size is given by 18. Select the correctstatement(s).The RSS from the pooled regression is always smaller than the sum ofRSSS from the separate regression models.In the above setup, Chow test is equal to 2.If e; is correlated with €;, then the OLS estimator of a2 from the separateregression will be is biased.If the variances of e; is different from €;, then the OLS estimator of 3₂ isno longer unbiased estimator.If we add another variable z; to the pooled regression, then the R² in thepooled regression will be increased.

The following three regression models are given. (pooled regression) ; if i is male (separate…

Answered: Suppose that you have the following…

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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Consider the following data for two variables, x and y. \ table[[x, 9, 32, 18, 15, 26], [y, 9, 19, 20, 16, 22]] (a) Develop an estimated regression equation for the data of the form hat(y) = b + b₁x. (Round bo to two decimal 1 0 places and b₁ to three decimal places.) hat 1 (y) = 8.65 +0.427x Comment on the adequacy of this equation for predicting y. (Use α = 0.05.) The high p- value and low coefficient of determination indicate that the equation is inadequate. The high p-value and high coefficient of determination indicate that the equation is adequate. The low p-value and low coefficient of determination indicate that the equation is inadequate. The low p-value and high coefficient of determination indicate that the equation is adequate. hat 2 (y) = 10.54 +2.618x-0.054x Comment on the adequacy of this equation for predicting y. (Use a =0.05.) The high p-value and low coefficient of determination indicate that the equation is inadequate. The high p-value and high coefficient of…
Last years Data Management class decided to see if there was a relationship between the score (out of 10) a student got on the two-variable stats quiz, and their score (out of 30) on the unit test. Use the given data to Quiz Score Test Score 6 8 10 9 10 20 26 29 26 30 a) Calculate the correlation coefficient. b) Perform a linear regression.
A) A linear regression has a =6 and b=5 what is y predicted as when x=9? B) A linear regression has b=3 and a=4.What is the predicted Y for x=7?
A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D).” Duration DD is measured in minutes, and depth D is in meters. The report then says, “The regression equation for this bird is DD=2.69+0.0138D. (a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.) slope = (b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your answer rounded to four decimal places.) increase in duration = minutes (c) According to the regression line, how long does a typical dive to a depth of 168 meters last? (Enter your answer rounded to three decimal places.) length…
Calculate the estimate of σε What is the estimated resting heart rate for someone who is a smoker (Smoke=1) and exercises 1 hour a day (Exercise=1)?
The equation used to predict college GPA (range 0-4.0) is y = 0.17 +0.51x, +0.002x,, where x, is high school GPA (range 0-4.0) and x, is college board score (range 200-800). Use the multiple regression equation to predict college GPA for a high school GPA of 3.8 and a college board score of 500. The predicted college GPA for a high school GPA of 3.8 and a college board score of 500 is (Round to the nearest tenth as needed.)
Let kids denote the number of children ever born to a woman, and let educ denote years of education for the woman. A simple model relating fertility to years of education is: kids; = Bo + B1educ; + uż. 1. What are the parameters in the model? 2. What kinds of factors are contained in u? Are these likely to be cor- related with level of education? 3. Will a simple regression analysis uncover the ceteris paribus effect of education on fertility? Explain.
Two variable are found to have a strong negative linear correlation. Pick the regression equation that best fits this scenario. y=0.82x−28 ˆy=0.32x−28 y= -0.82x+28 ˆy= -0.32x+28
None
If the estimated intercept of the regression equation is negative, we can say the estimated correlation coefficient between the two variables is also negative. O True O False
The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.11 + 0.097x. (a.1) What is the true average flow rate for a pressure drop of 10 in.?(a.2) A drop of 15 in.?(b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop?(c) What is the average change in flow rate when pressure drop decreases by 5 in.?
A regression analysis was performed to determine if there is a relationship between hours ofTV watched per day r) and number of sit ups a person can do (y). The results of the regression were: у-ах+b a=-0.827 b=35.329 r2=0.540225 r=-0.735 Use this to predict the number of sit ups a person who watches 13.5 hours of TV can do, and please round your answer to a whole number.

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