Question 1 1 pts Question 2 variables &s and xo and one depensdent A regression

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Question 1 1 pts Question 2 variables &s and xo and one depensdent A regression using both of the independent variables below results in a variable (y), Use matrix algebra to solve for the beta coefficients of a regression.A regression using both of the independent variables below results in a sum of squared error equal to 7139.35 1 51 131 78 15 114 Using the result of your regression, determine the sum of squared error and report it below Round your answer to four decimal places. Be as precise as possible in your calculations Given this information, calculate the standard error for b, (the coefficient for X). Round your answer to four decimal places Question 4 A regression using both of the independent variables below results in a sum of squared error equal to 6281.56 2 pts A regression using both of the independent variables below results in a sum of squared error equal to 3792 60 and an estimate for bi of 6. Given this information, calculate the standard error for by (the coefficient for X). Round your answer to four decimal places Given this information, calculate the t-statistic for b, (the coefficient for Round your answer to four decimal places

Explanation / Answer

Question 1. Ans:

131 1 51 131 114 1 15 114 1 1 1 1 1 Y 128 X 1 97 128 X'= 51 15 97 13 83 124 1 13 124 131 114 128 124 119 119 1 83 119 5 259 616 89.6209 0.04012 -0.7427 X'X= 259 19293 32296 (X'X)-1= 0.04012 0.0002 -0.0004 616 32296 76078 -0.7427 -0.0004 0.0062 616 X'Y= 32296 76078 0.0000 B^=(X'X)-1X'Y= 0.0000 1.0000

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