2.The following model with three regressors (including the constant) is estimated overfifteen observations:y = B1 + B2x2 + B3x3 + uAnd the following data has been calculated from the original xs2.03. 5-1.0-3.0(X'X)-1 ;3.51.06.5(X'у) —2.2u'û = 10.96-1.0 6.50.6(a) Calculate the coefficient estimates and their standard scores.(b) For the coefficients calculated in part (a) perform the following hypothesis testsi)ii)iii)Но: В1 3 1Ho: B2Но: Вз — 205%H1: B1 + 1, use a == 1%H1: B2 < -4, use a =Ні: Вз > 20, use a %3D= 5%-4

Answered: Image /qna-images/answer/5318d9bd-6ceb-4194-a81a-7184f6953e37.jpg

Answered: 2. The following model with three…

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 table, which shows a data set relating the number of full days hikers spent on the Appalachian trail (a very long trail that attracts ambitious hikers), and the number of miles they hiked along the trail. x (full days of hiking) y (miles hiked) 9 1 64 8 5 14 10 19 2 13 46 12 139 16 800 112 73 249 136 310 32 205 787 210
19.
a) A Multiple Linear Regression Model in the form provided in Equation 1 is required to predict the amount of trips likely to be generated in the Bortianor vicinity in 2040. Y=a+ajX1+æXz+æX3 (Equation 1) where Y= trips/household to work X1= number of cars owned by household X2 = income of household X3 = household size ao, ai, æ and a3 =constants Using the corelation matrix obtained from a base year survey in Table 5, detemine all the possible equations that can be fomulated in the fom of Equation 1 out of which the best predictive model will be selected. Give reasons for your choice of equations. Assume all the independent variables are linearly related to the dependent variable and eachindependent variable is easily projected. Table 5: Comrelation matrix Trips Household size Car Income ownership Trips Car ownership Income Household size 1 0.65 1 0.90 0.89 1 0.97 0.25 0.18 1
The following data on x= maternal age in years of the young birth mothers and y weight of baby born in grams summarizes the result of a study. Assume that a simple linear regression model y = Bo + B1x + e is an appropriate model for the study. x-bar 17 (avg of y-bar 3004.1 x's) (avg of y's) SSXX = 20 SS= 4903 SSyw = 1539182.9 n- 10 Calculate the estimated for Bo and B correct to T WO decimal places. Using your results, predict the average weight of a baby born for a value of x = 18. Enter your answer correct to TWO DECIMAL PLACES.
3
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 (X1), the annual income of the family (X2), and the number of times the family went out on an outing in the last year (X3). She collects data from 196 families and estimates the following regression: Y=120.45+1.54X1+2.12X2+2.12X3. Suppose β1, β2, β3, denote the population slope coefficients of X1, X2, and X3, respectively. The researcher wants to check if neither X1 nor X2 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 (H0: β1=0, β2=0 vs. H1: β1≠0 and/or β2≠0) to be 3.00. The p-value for the test will be enter your response here?
Suppose we have a regression situation involving 3 predictor variables and an intercept, with the following model: Y = Bo + B1X1 + B2X2 + B3X3 + € where n = 15. We find the following regression output (with some values deleted). Coefficients: Estimate Std. Error (Intercept) 0.08544 0.11529 х1 x2 0.67800 1.06700 -0.85400 1.19700 x3 0.08700 2.86110 Suppose we wish to calculate a 95% confidence interval for B3 (the slope of x3), in the usual way. What is the upper bound of the interval?
please answer the question in the attached picture with work shown, thanks! #4 A,B,C
3. Suppose that the following import function for Turkey is estimated for Turkey between 1980-2015. Import, a, + a,GDP; + ażER¸ + ut In order to measure the impact of 2001 crisis the regression is estimated based on the whole and two subsamples and the following RSS are obtained. Time period: 1980-2000 , RSS1= 69 Time period: 2001-2015, RSS2 =35 Time period: 1980-2015 , RSS = 160 Carry out the Chow test whether the regressions for the two periods are different at 5% significance level. (35 P)
Consider the following regression equation representing the linear relationship between the Canada Child Benefit provided for a married couple with 3 children under the age of 6, based on their annual family net income: ŷ =121.09−0.57246xR2=0.894 where y = annual Canada Child Benefit paid (in $100s) x = net annual family income (in $1000s) Source: Canada Revenue Agency a. As the net annual family income increases, does the Canada Child Benefit paid increase or decrease? Based on this, is the correlation between the two variables positive or negative?The Canada Child Benefit paid .The correlation between the two variables is .b. Calculate the correlation coefficient and determine if the relationship between the two variables is strong, moderate or weak.r= , the relationship is . Round to 3 decimal places c. Interpret the value of the slope as it relates to this relationship. For every $1 increase in annual family net income, there is a $0.57246 decrease in…

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