When estimating a multiple linear regression model based on 30 observations, the following results were obtained. [You may find it useful to reference the t table.] Coefficients Standard Error t Stat p-value Intercept 151.03 128.84 1.172 0.251 x1 11.42 2.67 4.277 0.000 x2 2.00 2.02 0.990 0.330
b-1. What is the 95% confidence interval for β2? (Negative values should be indicated by a minus sign. Round "tα/2,df" value to 3 decimal places, and final answers to 2 decimal places.)
c-2. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
When estimating a multiple linear regression model based on 30 observations, the following results were obtained....
Consider the following regression results based on 20 observations. [You may find it useful to reference the t table.] Coefficients Standard Error t Stat p-value Intercept 33.1308 4.4008 7.528 0.000 x1 0.2906 0.1944 1.495 0.152 a-1. Choose the hypotheses to determine if the intercept differs from zero. H0: β0 = 0; HA: β0 ≠ 0 H0: β0 ≥ 0; HA: β0 < 0 H0: β0 ≤ 0; HA: β0 > 0 a-2. At the 5% significance level, what is the...
The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars. Predictor Coefficient SE Coefficient t p-value Constant 7.987 2.967 2.690 0.010 x1 0.122 0.031 3.920 0.000 x2 − 1.120 0.053 − 2.270 0.028 x3 − 0.063 0.039 − 1.610 0.114 x4 0.523 0.142 3.690 0.001 x5 − 0.065 0.040 − 1.620 0.112 Analysis of Variance Source DF SS MS F p-value Regression 5 371000 742...
The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars. Predictor Coefficient SE Coefficient t p-value Constant 9.048 3.135 2.886 0.010 x1 0.284 0.111 2.559 0.000 x2 − 1.116 0.581 − 1.921 0.028 x3 − 0.194 0.189 − 1.026 0.114 x4 0.583 0.336 1.735 0.001 x5 − 0.025 0.026 − 0.962 0.112 Analysis of Variance Source DF SS MS F p-value Regression 5 1,895.93 379.2...
In a simple linear regression based on 27 observations, the following information is provided: yˆy^ = −6.53 + 1.22x and se = 2.95. Also, se(yˆ0)se(y^0) evaluated at x = 27 is 1.14. [You may find it useful to reference the t table.] a. Construct the 95% confidence interval for E(y) if x = 27. (Round intermediate calculations to at least 4 decimal places, "tα/2,df" value to 3 decimal places, and final answers to 2 decimal places.) b. Construct the 95%...
Consider the following regression results based on 40 observations. [You may find it useful to reference the t table.] Standard Error 12.6824 0.9614 Coefficients t Stat 3.257 p-value 0.002 Intercept 1.3096 0.9535 #1 0.992 0.328 a. Specify the hypotheses to determine if the slope differs from minus one. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
DO NOT ANSWER IF YOU ARE UNSKILLED IN THIS AREA! Using 20 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d + β3xd + ε. Coefficients Standard Error t Stat p-value Intercept 14.14 2.80 5.05 0.000 x 4.93 0.50 9.86 0.000 d −5.72 5.50 −1.04 0.314 xd 1.04 0.80 1.30 0.212 a. Compute yˆy^ for x = 10 and d = 1; then compute yˆy^ for x = 10 and d = 0....
In a multiple regression analysis, two independent variables are considered, and the sample size is 26. The regression coefficients and the standard errors are as follows. b1 = 1.468 Sb1 = 0.89 b2 = −1.084 Sb2 = 0.88 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round...
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.03 significance level: HO: u? 220 H1 : < 220 a. Is this a one-or two-tailed test? Two-tailed b. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) (Click to select) v Ho when z< D...
In a multiple regression analysis, two independent variables are considered, and the sample size is 26. The regression coefficients and the standard errors are as follows. b1 = 2.312 Sb1 = 0.81 b2 = −1.950 Sb2 = 0.77 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round...
Based on the below data what will be the value of multiple R? Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 8 ANOVA df SS MS F Regression 1 29 29 7 Residual 6 26 4 Total 7 Coefficients Standard Error t Stat P-value Intercept 1 31.274666 3.984284 0.007248 Advertising (thousands of S) 42 6.19330674 1.610802 0.158349 Submit Answer format: Number Round to: 2 decimal places.