Homework Answers
| sample size n= | 30 | ||||
| SSE for complete model :SSEc = | 298.4 | ||||
| SSE for reduced model :SSER = | 382.3 | ||||
| c =coefficients in complete model = | 4 | ||||
| r =coefficient in reduced model = | 2 | ||||
| Partial F=((SSEr-SSEc)/(c-r))/(SSEc/(n-c-1)) = | 3.514578 | ||||
| numerator df =(c-r) = | 2 | ||||
| and denominator df =(n-c-1) = | 25 | ||||
| p value = | 0.0452 | ||||
since p value is less than 0.05:
option D is correct: reject Ho at alpha =0.05
Consider the regression model y = Bo + B1X1 + B2X2 + ε where Xy and...
Consider the regression model y = Bo + B1X1 + B2X2 + ε where Xy and X2 are as defined below. Xq = A quantitative variable 1 if x2 <20 x2 = { 0 if X, 220 The estimated regression equation ý = 23.9+ 5.4x4 +6.9x, was obtained from a sample of 20 observations. Complete parts a through d below. a. Provide the estimated regression equation for instances in which X4 <20. y=1( ) x (Type integers or decimals.) b....
2) Suppose the regression model y = B0 + B1x1 + B2x2 + B3x3 + B4x1x2...
2) Suppose the regression model y = B0 + B1x1 + B2x2 + B3x3 + B4x1x2 + B5x1x3 + B6x2x3 was fit to n = 27 data points with SSE = 2000.0. a) Set up the null and alternative hypotheses for testing whether the interaction terms are significant. b) Give the reduced model necessary to test the significance of the interaction terms. c) The reduced model resulted in SSE = 2800. Calculate the value of the test statistic appropriate for...
2) Suppose the regression model y = B0 + B1x1 + B2x2 + B3x3 + B4x1x2 + B5x1x3 + B6x2x3 was fit to n = 27 data points with SSE = 2000.0. a) Set up the null and alternative hypotheses for testing whethe...
2) Suppose the regression model y = B0 + B1x1 + B2x2 + B3x3 + B4x1x2 + B5x1x3 + B6x2x3 was fit to n = 27 data points with SSE = 2000.0. a) Set up the null and alternative hypotheses for testing whether the interaction terms are significant. b) Give the reduced model necessary to test the significance of the interaction terms. c) The reduced model resulted in SSE = 2800. Calculate the value of the test statistic appropriate for...
1. A professor examined the relationship between the number of hours devoted to reading, each week...
1. A professor examined the relationship between the number of hours devoted to reading, each week Y and the independent variable social class X1), the number of years of school completed x2 and reading speed X3, in pages read per hour. The following ANOVA table obtained from a stepwise regression procedure for a sample of 19 women over 60. A) Fill in the missing values. DESS Source Regression x3 MS P value 1 1058.628 Residual 585.02 Regression X2 X3 183.743...
Questivil 13 You calculated the below regression model at a 95% confidence level with 20 observations...
Questivil 13 You calculated the below regression model at a 95% confidence level with 20 observations y = Bo + B1X1 + B2X2 + B3X3 + € If Bi = 8.4 and se1 = 4.2 is the variable statistically significant? Select the best answer and rationale below. Hint: Determine if you need to use the t-table or the z-table. Statistically significant. The test statistic < critical value. Not statistically significant. The test statistic > critical value. Statistically significant. The test...
Consider the following Excel outout for a regression model where Y = GDP, X, employment and...
Consider the following Excel outout for a regression model where Y = GDP, X, employment and Xx = fixed capital Sample size = 20 observations Intercept Standard Error 34370.0541 5.8749 0.0962 Coefficients 59450 2848 12.3387 0.4346 Pour 0.1064 Star 17049 2.1003 Lower 95% -133019.7674 -0.0562 Upper 95% 14118.9979 2 4.7336 00003 Model 1: Y = Bo+B.X1+B2X:+8 Based on the value of statistic, determine whether you should reject or not to reject the null hypothesis of two failed test). Make decision...
for b. the p-value is (less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05, between 0.05 and 0.10, or greate...
for b.
the p-value is
(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05,
between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept)
H0
for c.
the p-value is
(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05,
between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept)
H0
Check My Work (3 remaining) eBook A regression model relating 2, number of salespersons at a branch office, to y, annual sales at the...
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject...
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H when the level of significance is (a) a= 0.01, (b) a 0.05, and (c) a0.10. P 0.0749 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H because the P-value, 0.0749, is greater than a=0.01 O B. Fail to reject Ho because the P-value, 0.0749, is less than a = 0.01 O C. Reject...
12.3 Suppose you fit the multiple regression model y = Bo + B1x1 + Bzxz +...
12.3 Suppose you fit the multiple regression model y = Bo + B1x1 + Bzxz + Bzxz + e to n = 30 data points and obtain the following result: ŷ = 3.4 - 4.6x + 2.7x2 + .93xz The estimated standard errors of B, and Bs are 1.86 and .29, respectively. a. Test the null hypothesis Ho: B2 = 0 against the alternative hypothesis He: B2 + 0. Use a = .05. b. Test the null hypothesis Ho: Bz...
Question 1 4.5 pts Given are five observations for two variables, x and y. 3 2...
Question 1 4.5 pts Given are five observations for two variables, x and y. 3 2 7 h. Compute the mean square error (MSE) O 3.875 4.133 4.421 4.312 i. Compute the standard error of the estimate 2.326 1.895 2.033 2.213 j. Compute the estimated standard deviation (standard error) of bu 0.643 0.697 0.568 O 0.713 k. Test for a significant relationship using the t test. Compute the value of the test statistic and the p-value. At a = 0.05,...
Consider the regression model y = Bo + B1X1 + B2X2 + ε where Xy and X2 are as defined below. Xq = A quantitative variable 1 if x2 <20 x2 = { 0 if X, 220 The estimated regression equation ý = 23.9+ 5.4x4 +6.9x, was obtained from a sample of 20 observations. Complete parts a through d below. a. Provide the estimated regression equation for instances in which X4 <20. y=1( ) x (Type integers or decimals.) b....
1. A professor examined the relationship between the number of hours devoted to reading, each week Y and the independent variable social class X1), the number of years of school completed x2 and reading speed X3, in pages read per hour. The following ANOVA table obtained from a stepwise regression procedure for a sample of 19 women over 60. A) Fill in the missing values. DESS Source Regression x3 MS P value 1 1058.628 Residual 585.02 Regression X2 X3 183.743...
Questivil 13 You calculated the below regression model at a 95% confidence level with 20 observations y = Bo + B1X1 + B2X2 + B3X3 + € If Bi = 8.4 and se1 = 4.2 is the variable statistically significant? Select the best answer and rationale below. Hint: Determine if you need to use the t-table or the z-table. Statistically significant. The test statistic < critical value. Not statistically significant. The test statistic > critical value. Statistically significant. The test...
Consider the following Excel outout for a regression model where Y = GDP, X, employment and Xx = fixed capital Sample size = 20 observations Intercept Standard Error 34370.0541 5.8749 0.0962 Coefficients 59450 2848 12.3387 0.4346 Pour 0.1064 Star 17049 2.1003 Lower 95% -133019.7674 -0.0562 Upper 95% 14118.9979 2 4.7336 00003 Model 1: Y = Bo+B.X1+B2X:+8 Based on the value of statistic, determine whether you should reject or not to reject the null hypothesis of two failed test). Make decision...
for b.
the p-value is
(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05,
between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept)
H0
for c.
the p-value is
(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05,
between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept)
H0
Check My Work (3 remaining) eBook A regression model relating 2, number of salespersons at a branch office, to y, annual sales at the...
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H when the level of significance is (a) a= 0.01, (b) a 0.05, and (c) a0.10. P 0.0749 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H because the P-value, 0.0749, is greater than a=0.01 O B. Fail to reject Ho because the P-value, 0.0749, is less than a = 0.01 O C. Reject...
12.3 Suppose you fit the multiple regression model y = Bo + B1x1 + Bzxz + Bzxz + e to n = 30 data points and obtain the following result: ŷ = 3.4 - 4.6x + 2.7x2 + .93xz The estimated standard errors of B, and Bs are 1.86 and .29, respectively. a. Test the null hypothesis Ho: B2 = 0 against the alternative hypothesis He: B2 + 0. Use a = .05. b. Test the null hypothesis Ho: Bz...
Question 1 4.5 pts Given are five observations for two variables, x and y. 3 2 7 h. Compute the mean square error (MSE) O 3.875 4.133 4.421 4.312 i. Compute the standard error of the estimate 2.326 1.895 2.033 2.213 j. Compute the estimated standard deviation (standard error) of bu 0.643 0.697 0.568 O 0.713 k. Test for a significant relationship using the t test. Compute the value of the test statistic and the p-value. At a = 0.05,...
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