Suppose that y, is an independent response variable (i = 1.....n) with mean, suchthat g(i) = n₁ = X₁B, where g(.) is a link function, X, is a vector of covariates and 3is a px 1 vector of coefficients. Let the variance of y; be Var (Y) = V(i), where V(.)is a known function and is a scale parameter.Given:Zi= g'(pi) (Yi - Pi) + Niw₁ = [V (pi) (g'(pi))²]-¹8where g'(μ) = 9(μ)(a) Show that E(Z₁) = X₂B(b) Show that Var (Z₁) = w¹o.(c) Estimate 3 by minimizing Σ, wi( E(Z₁))² with respect to 3. After you found8, find the Var(8) and E(3). What do you conclude?

Answered: Image /qna-images/answer/f7ba3941-335a-4450-8091-432439252a08.jpg

Answered: Suppose that y, is an independent…

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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Q2) The following data represents the results of an experimental test, if the relation between variables take the form y=ae^(bvx) y = aeb√x y 4 13 7 10 12 9 15 7 24 4 the value of y (1 :when x=16 is 6.3278 6.2387 6.3728 6.2783 none of all above * the correlation coefficient (2 of the above relation 0.9927 0.9727 0.9772 0.9977 none of all above
tion of about $1 million in payroll. (E) One extra win corresponds to an addi- tion of about $17 million in payroll. 6. The residual for the least-squares regression line y = 3.422 +5.551x at the data point (9.227, y) is equal to 1.811. Which of the following is the value of y? (A) 56.452 (B) 54.641 (C) 52.830 (D) 11.038 (E) 7.416 ere to search
Book Pages (x) Price (y) A 500 $7.10 B 700 7.60 C 750 9.10 D 590 6.60 E 560 7.60 F 650 7.10 G 475 5.10 (a) Develop a least squares estimated regression line. (Round your numerical values to three decimal places.) (b) Compute the coefficient of determination. (Round your answer to four decimal places.) Explain its meaning. (Give your answer as a percent. Round your answer to two decimal places.) The value of the coefficient of determination tells us that % of the variability in |--?-- ☑ has been explained by the least squares regression equation.
7. A company wanted to assess the impact of R and D expenditure (x) on annual profit (v) following table presents data for past 8 years. X: 7 5 10 4 5 3 y: 45 42 41 60 30 34 25 Compute the correlation co-efficient. Comment on the value. 20
Consider a regression with two variables, in which X1i is the variable of interest and X2i is the control variable. The zero conditional mean assumption requires Group of answer choices E(ui|X1i) = E(ui|X2i) E(ui|X1i, X2i) = E(ui|X1i) E(ui|X1i, X2i) = 0 E(ui) = E(ui|X2i)
8/20 Compute the correlation coefficient and determine whether there is a linear relation between X and Y.
The least-squares regression line relating two statistical variables is given as = 24 + 5x. Compute the residual if the actual (observed) value for y is 38 when x is 2. 4 38 2
Calculate SSCP (sum of squares and cross products) Calculate the Pearson correlation X Y 2 9 1 10 3 6 0 8 4 2
A recent Gallup survey of a random sample of Americans (18 and older) found that the average number of alcoholic drinks consumed per week (drinks) by males was 4.2 and by females was 1.4.[1] Suppose we use the underlying survey data to estimate a least-squares regression of the average number of drinks a person reports consuming per week (Drinks;) on a dummy variable equal to 1 if i is female and O otherwise (Female;). (Assume all respondents identify as either male or female.) The estimated regression line equation can be written as: Drinks = a +bFemale Alcohol Consumption by Gender Because Female is a dummy variable, the problem provides us with enough information to figure out the exact regression line equation. What is the numerical value of a?
Q 1 If X is a random variable with distribution X: 0 1 2 3 P(X): 1111 44 44 Find the mean, Variance and standard deviation. Q 2 If X is a random variable with distribution X: 0 12 3 4 P(X): 0 K 2K 3K 4K Explain the following: (i) For which value of K, P(X) is probability mass function? (ii) Find the following probabilities: (a) P(1 ≤ X < 4). (b) P(2 < X < 4). Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (²) and standard deviation (o) of the numbers on the balls. Q4 A special six-sided die is made in which 2 sides have 6 spots, 3 sides have 4 spots, and 1 side has 1 spot. If the die is rolled, find the expected value of the number of spots that will occur. Q5 Let X-B(4,0.6). Find the following (i) P(X = 2) (ii) P(1 < X < 4) (iii) Also find mean and variance. Q6…
A recent Gallup survey of a random sample of Americans (18 and older) found that the average number of alcoholic drinks consumed per week (drinks) by males was 4.2 and by females was 1.4.[¹] Suppose we use the underlying survey data to estimate a least-squares regression of the average number of drinks a person reports consuming per week (Drinks;) on a dummy variable equal to 1 if i is female and 0 otherwise (Female;). (Assume all respondents identify as either male or female.) The estimated regression line equation can be written as: Drinks = a +bFemale Alcohol Consumption by Gender What is the numerical value of b?
The following sample contains the scores of 6 students selected at random in Mathematics and English. Use the scores in English as the dependent variable Y. Mathematics score (X) 70 92 80 74 65 83 English score (Y) 74 84 63 87 78 90 ∑x=464, ∑y=476,∑x^2=36354,∑y^2=38254, ∑xy=36926. Estimate the regression parameters and also write the prediction equation.

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