3. The relationship between variables Y (RM billion), X (%) and Z (million tons) can beillustrated by the following linear regression model.Yi = Bot BiXit BeZit HiA summary of the data for the three variables from year 1988 to 2018 is as follows:Σκ. = 192.734Σy² = 55,541.86[vix = 403.937Sy = 4.304Where y₁=Y₁ - Yx₁ = X₁ - XZ₁ = Z₁ - Z(a) Use the Ordinary Least Squares Method (OLS) to estimate all the parameters in themodel.Ex=[x² = 3.029= 1.899Yi ZiΣτιςEz = 535.562= 5,112.319 ΣχSz = 0.423Sx = 0.032= 39.522XZ₁ = 39.492(b) Use the standardized regression coefficients to compare the effect of X and Z on Yrespectively.(c) Calculate the elasticity of Y with respect to Z at the mean value. Explain the meaningof the elasticity value obtained.

In the given multiple regression model, the dependent variable is Y (RM billion), and the…

Answered: The relationship between variables Y…

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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The relationship between number of chocolate bars consumed (x) and blood sugar content (y) was studied in 16 male college students. The following regression equation was obtained from this study: y= -0.0127 + 0.0180x The above equation implies that: O On average it takes 1.8 Each chocolate bar to increase blood sugar content by 1% O Each chocolate bar consumed increases blood sugar by exactly 0.018 Each chocolate bar consumed increases blood sugar by an average of amount of 1.8% O Each chocolate bar consumed increases blood sugar by 1.27% ere to search
Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that for a particular community, x and y are related according to the simple linear regression model with the following values. ? = slope of population regression line = 0.014? = y intercept of population regression line = -4 (a) What is the equation of the population regression line?y = (b) What is the mean value of gas usage for houses with 2100 sq ft of space?(c) What is the average change in usage associated with a 1 square foot increase in size?(d) What is the average change in usage associated with a 100 square feet increase in size?
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A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured in dollars). She compiles data on the number of members in a family (X,), the annual income of the family (X,), and the number of times the family went out on an outing in the last year (X). She collects data from 152 families and estimates the following regression: Y = 120.45 + 1.12X, + 2.12X2 + 1.98X3 Suppose B1. B2, B3, denote the population slope coefficients of X, X2, and X3, respectively The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X3 constant. She calculates the value of the F-statistic for the test with the two restrictions (Ho: B, = 0, B2 = 0 vs. H B, 0 and/or Bz 0) to be 3.00. The p-value for the test will be (Round your answer to two decimal places.) At the 10% significance level, we will the null hypothesis. reject fail to reject Enter your answer in…
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also compute the regression equation in which you predict Y using X as the predictor variable
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