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 the variables equals ______.
D) The critical F value used to test if there is a relationship among the variables at the 5% level equals _____.
E) Carry out the test to determine if there is a relationship among the variables at the 5% level. The null hypothesis should ______.
Ans :
A) degree of freedom for SSR = 2
B) degree of freedom for SSE = 13
C) Test statistics = 4.1457
D) Critical F value = 3.8056
E)
The null hypothesis should be rejected
Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16...
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 computer output based on a sample of 16 observations. Coefficient Standard Error Constant 12.924 4.425 X1 -3.682 2.630 X2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square F Regression 4,853 2,426.5 Error 485.3 Refer to Exhibit 15-6. The estimated regression equation is Refer to Exhibit 15-6. The interpretation of the coefficient of X1 is that Refer to Exhibit 15-6. We want to test whether...
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.
Question 1 (-110 Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coefficients Standard Error Constant 12.924 4.425 -3.682 2.630 x2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square Regression 4853 2426.5 Error 485.3 Carry out the test to determine if there is a relationship among the variables at the 5% level. The null hypothesis should be rejected not be rejected...
Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coefficients Standard Error Constant 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square F Regression 4853 2426.5 Error 485.3 We want to test whether the parameter β1 is significant. The test statistic equal a. -1.4. b. -5.0. c. 1.4. d. 3.6.
1 pts Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Standard Error Coefficients 4.425 Constant 12.924 2.630 -3.682 X1 45.216 12.560 X2 The interpretation of the coefficient of x is that a one unit increase inx1 will lead to a 3.682 unit decrease in x2 when all other variables are held constant. The unit of measurement for y is required to interpret the coefficient a one unit change...
Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coefficients 12.924 Standard Error 4,425 Constant -3.682 2.630 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square Regression 4853 2426.5 Error 485.3 The interpretation of the coefficient of Xi is that The interpretation of the coefficient of Xi is that O a one unit increase in xy will lead to a 3.682 unit...
Section C (20 Marks) C1 :Below you are given a partial ISD1: 10 marks] computer output based on a sample of 40 observations. Coefficient Standard Error Constant 25.848 8.85 7.364 K 90.432 5.26 X2 25.12 Analysis of Varianee Sum of Mean Source of Degrees s Square Variation Regression Error of Freedom Squares 4,853 970.6 1. Use the output shown above and write the estimated regression equation. (2 marks) Interpret the meaning of the coefficient of X1 and X2. (2 marks)...
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
Table 4 Regression Model Y = α X1 + β X2 Parameter Estimates Coefficient Standard Error Constant 12.924 4.425 X1 -3.682 2.630 X2 45.216 12.560 Analysis of Variance Source of Degrees Sum of Mean Variation of Freedom Squares Square F Regression XXX 4,853 2,426.5 XXX Error XXX 485.3 Find above partial statistical output...