Homework Answers
Level of significance = 0.05
n = 12, Degrees of freedom: df = n-2 = 10
Critical value: t (Using Excel function T.INV.2T(probability, df)) = T.INV.2T(0.05,10) = 2.228
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The regression equation is Y - 30 + 2.56, the sample size is 12, and the...
The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the...
The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the test statistic to test the significance of the slope? Multiple Choice z = −2.560 z = +2.639 t = +2.560 t = +2.639
The regression equation is Ŷ = 29.29 − 0.96X, the sample size is 8, and the...
The regression equation is Ŷ = 29.29 − 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the critical value to test the significance of the slope at the 0.01 significance level?
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to...
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. 7. x-20.8, s-7.3>, n = 11, Ho: μ = 18.7, Ha: μ # 18.7, α = 0.05 a. Test statistic: t = 0.95. Critical values: ±1.96. Reject Ho. There is sufficient evidence to b. Test statistic: 0.95. Critical values: t = ±2.201....
A real estate research firm has developed a regression model relating list price (Y in 1,000)...
A real estate research firm has developed a regression model relating list price (Y in 1,000) with two independent variables. The two independent variables are number of bedrooms and size of the property. Part of the regression results are shown below. ANOVA MS Regression 256881.37 128440.68 Residual 42 726699.96 17302.38 Coefficients Standard Error Star Intercept 54.298 # Bedrooms 53.634 71.326 5.271 33.630 Acres 21.458 1. What has been the sample size? (2 Points) 2. What is the value of the...
A regression model relating 2, number of salespersons at a branch office, to y, annual sales...
A regression model relating 2, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where Miotal = 30. 0 ANOVA 0 MSF Significance F SS 6361.5 Regression Residual Total 8844.6 P-value 85.0 5.418 Coefficients Standard Error Stat Intercept 10.553 Number of 43.0 Salespersons a. Write the estimated regression equation (to whole number). y= + b. Compute the F statistic...
please help! Following is a simple linear regression model: y = a + A + &...
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
A regression model relating number of salespersons at a branch office, to y, annual sales at...
A regression model relating number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where th =26. ANOVA SS MS F Significance F u Significance Regression Residual Total 8756.4 p-value 510 s.com Coefficients Standard Error Stat Intercept 7 7.0 10.723 Number of 5.609 Salespersons Write the estimated regression equation (to whole number). V= b. Compute the statistic and test the...
3) (Total: 12 points) The results of the regression model is shown below. Using the p-value...
3) (Total: 12 points) The results of the regression model is shown below. Using the p-value in the table, determine whether there is significant relationship between durability and the two independent variables at the 0.05 level of significance. Variable Intercept FOREIMP (x) MIDSOLD (x2) Coefficients Standard Error t-Stat -0.03501 0.05905 -0.39 0.84774 0.06295 (1) 0.58993 0.07174 8.43 p-Value 0.7034 < 0.0000 < 0.0000 (1) (2 points) Calculate the t-Stat of the FOREIMP (x2). (2) (2 points) Write hypothesese to 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...
a. In a regression analysis involving 30 observations, the following estimated regression equation was obtained: y=17.6+3.8x1-2.3x2+7.6x3+2.7x4...
a. In a regression analysis involving 30 observations, the following estimated regression equation was obtained: y=17.6+3.8x1-2.3x2+7.6x3+2.7x4 For this estimated regression equation SST=1805, and SSR=1760. At α=0.05, test the significance of the relationship among the variables.
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. 7. x-20.8, s-7.3>, n = 11, Ho: μ = 18.7, Ha: μ # 18.7, α = 0.05 a. Test statistic: t = 0.95. Critical values: ±1.96. Reject Ho. There is sufficient evidence to b. Test statistic: 0.95. Critical values: t = ±2.201....
A real estate research firm has developed a regression model relating list price (Y in 1,000) with two independent variables. The two independent variables are number of bedrooms and size of the property. Part of the regression results are shown below. ANOVA MS Regression 256881.37 128440.68 Residual 42 726699.96 17302.38 Coefficients Standard Error Star Intercept 54.298 # Bedrooms 53.634 71.326 5.271 33.630 Acres 21.458 1. What has been the sample size? (2 Points) 2. What is the value of the...
A regression model relating 2, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where Miotal = 30. 0 ANOVA 0 MSF Significance F SS 6361.5 Regression Residual Total 8844.6 P-value 85.0 5.418 Coefficients Standard Error Stat Intercept 10.553 Number of 43.0 Salespersons a. Write the estimated regression equation (to whole number). y= + b. Compute the F statistic...
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
A regression model relating number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where th =26. ANOVA SS MS F Significance F u Significance Regression Residual Total 8756.4 p-value 510 s.com Coefficients Standard Error Stat Intercept 7 7.0 10.723 Number of 5.609 Salespersons Write the estimated regression equation (to whole number). V= b. Compute the statistic and test the...
3) (Total: 12 points) The results of the regression model is shown below. Using the p-value in the table, determine whether there is significant relationship between durability and the two independent variables at the 0.05 level of significance. Variable Intercept FOREIMP (x) MIDSOLD (x2) Coefficients Standard Error t-Stat -0.03501 0.05905 -0.39 0.84774 0.06295 (1) 0.58993 0.07174 8.43 p-Value 0.7034 < 0.0000 < 0.0000 (1) (2 points) Calculate the t-Stat of the FOREIMP (x2). (2) (2 points) Write hypothesese to 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...
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