1. Find the value of SSE that is minimized by the least squares method. EXAMPLE 3.3 (Vendor). Detailed interviews were con-ducted with over 1,000 street vendors in the city of Puebla,Mexico, in order to study the factors influencing ven-dors’ incomes. Vendors were defined as individuals work-ing in the street, and included vendors with carts andstands on wheels and excluded beggars, drug dealers,and prostitutes. The researchers collected data on gen-der, age x1, hours worked per day x2, annual earnings y,and education level. A subset of these data (x1, x2 and y)appears in the accompanying table.VENDORANNUALHOURS WORKEDNUMBEREARNINGS, yAGE, x1PER DAY, x221$28412912531876293421860621018415521810263281306536704011501135420056554015153215193044178820103111288263370677209.710299.8001683155914181714799740663312 Consider the first-order model y = Bo + B1x1 + 62x2 + € and assume it is appropriate. Below isthe SAS output.The REG ProcedureModel: MODEL1Dependent Variable: earningNumber of Observations Read15Number of Observations Used15Analysis of VarianceSum ofMeanSourceDF SquaresSquare F ValuePr >FModel2 5018232 25091168.36 0.0053Error12 3600196300016Corrected Total14 8618428Root MSE547.73748 R-Square 0.5823Dependent Mean 2577.13333 Adj R-Sq0.5126Coeff Var21.25375Parameter EstimatesParameterEstimateStandardError t Value Pr > |t|VariableDF95% Confidence LimitsIntercept1-20.35201 652.74532-0.03 0.9756 -1442.561891401.85787age113.350457.671681.74 0.1074-3.3647030.06559hour1243.7144663.511743.84 0.0024105.33428382.09465

From the above question The value of SSE is in the given table The Error sum of squre is nothing…

Answered: Consider the first-order model y = Bo +…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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The model, y = Bo + B₁×₁ + ß₂×2 + ε, was fitted to a sample of 33 families in order to explain household milk consumption in quarts per week, y, from the weekly income in hundreds of dollars, x₁, and the family size, x₂. The total sum of squares and regression sum of squares were found to be, SST = 162.1 and SSE(R) = 90.6. The least squares estimates of the regression parameters are bo = -0.022, b₁ = 0.051, and b₂ = 1.19. A third independent variable-number of preschool children in the household-was added to the regression model. The sum of squared errors when this augmented model was estimated by least squares was found to be 83.1. Test the null hypothesis that, all other things being equal, the number of preschool children in the household does not affect milk consumption. Use α=0.01. Click here to view page 1 of a table of critical values of F. Click here to view page 2 of a table of critical values of F. ''1' M P2 P3 Find the critical value. The critical value is 7.60⁰. (Round to…
A student is preparing to take a stand allies exam she was told that she needs to get plenty of sleep the night before the exam she is interested in the relationship between the number of hours of sleep a student gets her for an exam and the score earned on the exam. She collects information from 10 other students who have already taken the exam as shown on the table. she fits at least squares regression line to the data and determines the equation of the line is why equals 26-0.18 X where why is the score earn on the exam and ask is the number of hours of sleep the night before the exam. The residual is given. based on the residual plot is the linear model appropriate? no, there is no clear pattern in the residual plot. yes, there is no clear pattern in the residual plot. no, the student who got the most you've had a negative residual yes, there are more negative residuals (6) then positive residuals (4)
The model, y = Bo + B₁×1 + ß₂×₂ + ε, was fitted to a sample of 33 families in order to explain household milk consumption in quarts per week, y, from the weekly income in hundreds of dollars, X₁, and the family size, x2. The total sum of squares and regression sum of squares were found to be, SST = 162.1 and SSE(R) = 90.6. The least squares estimates of the regression parameters are bo = -0.022, b₁ = 0.051, and b₂ = 1.19. A third independent variable number of preschool children in the household-was added to the regression model. The sum of squared errors when this augmented model was estimated by least squares was found to be 83.1. Test the null hypothesis that, all other things being equal, the number of preschool children in the household does not affect milk consumption. Use α = 0.01. Click here to view page 1 of a table of critical values of F. Click here to view page 2 of a table of critical values of F. Choose the correct null and alternative hypotheses below. A. Ho: B3 = 0 |…

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