Assignment 1
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Q. The demand of jewellery (Y) in India is assumed to be influenced by the following variables:X2: Per Capita Income in IndiaX3: Stock market Index X4: Retail price of GoldX5: Real Disposable IncomeX6: Interest rates on DepositsThe regression model is applied and the SPSS output is given below:
Table: Regression Model SummaryModelRR SquareAdjusted R SquareStd. Error of the EstimateDurbin-Watson
1.972a.944.9281.97961.101
a. Predictors: (Constant), X6, X3, X2, X4, X5
b. Dependent Variable: Y
Table: ANOVA
ModelSum of SquaresdfMean SquareFSig.
1Regression1129.3065225.86157.633.000b
Residual66.622173.919
Total1195.92922
a. Dependent Variable: Y
b. Predictors: (Constant), X6, X3, X2, X4, X5
Table: Regression Coefficients
ModelUnstandardized CoefficientsStandardized CoefficientstSig.Collinearity Statistics
BStd. ErrorBetaToleranceVIF
1(Constant)38.5974.2149.158.000
X2.005.005.410.985.338.01952.761
X3-.652.174-.983-3.738.002.04721.103
X4.243.0901.1622.716.015.01855.847
X5.104.071.7291.477.158.01374.303
X6-.071.098-.384-.723.480.01286.131
a. Dependent Variable: Y
Fig: Scatter plot of unstandardized residuals
Answer the following:a. Explain the assumptions of regression model.b. Explain the Gauss Markov Theorem.c. Write the regression equation.d. Define the regression coefficients (intercept and slope coefficients).e. What is the difference between unstandardized and standardized beta.f. Which variable has the highest impact on the demand of Jewelry in India?g. Identify the problems in the regression results (w.r.t multicollinearity, autocorrelation and heteroscedasticity).h. What is the significance of T test and F test in regression analysis?i. Define the terms: R, R Square and Adjusted R Square.j. Identify the multivariate outliers.