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Consider a multiple regression model of the dependent variable y on independent variables x1, x2, and x3: Using data with n =Use information from the table to answer the following questions. The standard deviation of the residual for the sixth observ

Consider a multiple regression model of the dependent variable y on independent variables x1, x2, and x3: Using data with n = 12 observations for each of the variables, a researcher obtains the following estimated regression equation for the above model y0.5216 + 1.2419x1 + 0.3049x2 - 0.0217x3 The standard error of estimate for this equation is s0.6489 The table below gives the values for the independent and dependent variables and their corresponding predicted values, residuals, and leverage Predicted Value Residua Leverage (v - y) No. X2 X3 0.9326 0.3408 0.3461 0.1632 0.0768 1.2659 0.0536 0.4631 0.2575 12.7237 -0.1821 0.2890 0.4771 7.9611 15.0243 -0.6987 15.9368 1.0986 5.4086 0.4070 1.3257 7.6853 11.5261 0.1471 12.3110 1.7893 10.01291.2846 1.3775 0.5359 7.6694 8.6307 4.8492 1.0189-10.2205 0.7441 -3.3985 15.0042 1.4814 7.4175 0.9553 0.1862 13.5768 1.3240 0.9364 9.4779 0.4520 0.1435 0.0988 0.2440 0.0738 0.2514 0.4710 0.0440 0.3518 0.3679 0.0936 0.4082 1.3892 -0.8676 1.1405 3.9838 0.3419 -7.7636 3.1600 1.1120 1.1186 4.3239 0.3301 0.2630 4 7 3.5670 0.3263 1.3994 1.8849-0.2815 9.7355 4.89370.3933 12.5416 6.7252 -0.0790-7.8382 9 10 -7.5493 3.8757 12
Use information from the table to answer the following questions. The standard deviation of the residual for the sixth observation y6-12.3110 is residual for the sixth observation is . The standardized 0.5604 0.2514 0.5614 0.0500 You can obtain a studentized deleted residual using so, the standard error of thmputed for the regression model with the ith observation deleted. Suppose you have computed a revised standard error of estimate with observation 6 deleted and obtained a value of s(6)0.2300. The revised standard deviation of the residual of the sixth observation (calculated with the sixth observation deleted) is revised standard error of the estimate s(6) to calculate the revised standard deviation of the sixth residual.) The studentized deleted residual for the sixth observation is . (Hint: Use the Use the Distributions tool below to help you answer the following question
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Consider a multiple regression model of the dependent variable y on independent variables x1, x2, and x3: Using data with n = 12 observations for each of the variables, a researcher obtains the follo...
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