Solution :
Given that,
0 = 16.156
1 = -0.903
The estimated regression equation is :
None of the above
Below you are given a partial computer output based on a sample of fifteen (15) observations....
Below you are given a partial computer output based on a sample of fifteen (15) observations. ANOVA df SS Regression 1 50.58 Residual Total 14 106.00 Coefficients Standard Error t Stat p-value Intercept 16.156 1.42 0.0000 Variable x -0.903 0.26 0.0000 The coefficient of determination is. 0.5228 0.4772 0.6535 0.3465
Below you are given a partial computer output based on a sample of seven (Z) observations ANOVA df 100 Regression Residual Total 6 288.56 Coefficients 5.000 3.729 p-value 0.0942 0.1643 Standard Error t Stat Intercept 2.425 Variable x 2.290 To test whether the parameter β 1 is significantly different from zero (ie.. Ha: β1 f 0), the calculated test statistic equals O 2.0619 O1.628 O -3.473 11.377 none of the above
Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16 observations. ANOVA df SS MS F Regression 4,853 2,426.5 Residual 485.3 Coefficients Standard Error Intercept 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 Carry out the test to determine if there is a relationship among the variables at the 5% level. The null hypothesis should ______. a. be revised b. not be rejected c. be rejected d. None of these answers are correct.
Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16 observations. ANOVA df SS MS F Regression 4,853 2,426.5 Residual 585.3 Coefficients Standard Error Intercept 12.924 4.425 x1 -3.682 1.630 x2 45.216 22.560 A) The interpretation of the coefficient of x 1 is that _____. B) We want to test whether the parameter β 1 is significant. The test statistic equals _____. C) The critical t value that is used to test an individual parameter...
Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16 observations. ANOVA df SS MS F Regression 4,853 2,426.5 Residual 585.3 Coefficients Standard Error Intercept 12.924 4.425 x1 -3.682 1.630 x2 45.216 22.560 A) The degrees of freedom for the sum of squares explained by the regression (SSR) are _____. B) The sum of squares due to error (SSE) equals _____. C) The test statistic used to determine if there is a relationship among...
We are given a partial computer output based on a sample of 20 observations: Coefficient Standard Error Constant 12.9 4.4 X1 -3.7 2.6 X2 45.2 12.6 ANOVA Source df SS MS F Regression 150 75 ? Error 516 The test statistic used to determine if there is a relationship among the variables equals _____. 4.94 1.32 0.82 0.49 2.47
Below you are given a partial computer output based on a sample of 21 observations, relating an independent variable (x) and a dependent variable (y). Coefficient Standard Error 1.181 Intercept 30.139 0.022 X -0.252 Analysis of Variance SOURCE SS Regression 1,759.481 259.186 Error Develop the estimated regression line At a 0.05, perform an F test. Determine the coefficient of determination. a. b. c. d. Determine the coefficient of correlation.
Below you are given a partial computer output based on a sample of 8 observations, relating an independent variable (x) and a dependent variable (y). Coefficient Standard Error 7.032 0.184 t-Stat -1.3456 4.1793 Intercept Analysis of Variance SOURCE Regression Error (Residual) 400 138 a. Develop the estimated regression line. b. At a = 0.05, perform an F test. C. Determine the coefficient of determination.
7,10,11 Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.917214 R Square 0.841282 Adjusted R Square 0.821442 Standard Error 9.385572 Observations 10 ANOVA df SS MS Significance F 1 Regression 3735.3060 3735.30600 42.40379 0.000186 8 Residual 704.7117 88.08896 9 Total 4440.0170 Coefficients Standard Error t Stat P-value Lower 95% Intercept 31.623780 10.442970 3.028236 0.016353 7.542233 X Variable 1.131661 0.173786 6.511819 0.000186 0.730910 o a. 9; = 7.542233+0.7309 Xli o b....
5- Interpret the coefficient of determination (R-squared) and the F test. SUMMARY OUTPUT Regression Statistics Multiple R 0.8811 R Square 0.7764 Adjusted R Square 0.7205 Standard Error 14.7724 Observations 16 ANOVA df SS MS F Regression 3 9091.7392 3030.5797 13.8874 Residual 12 2618.7008 218.2251 Total 15 11710.44 Coefficients Standard Error t Stat P-value Intercept 29.1385 174.7427 0.1668 0.8703 PFH -2.1236 0.3405 -6.2361 0.0000 PR 1.0345 0.4667 2.2164 0.0467 M 3.0871 0.9993 3.0892 0.0094