The computer output displays the coefficients estimates for al east-squares regression model for a data set...
The computer output displays the coefficients estimates for al east-squares regression model for a data set of 20 observations.
Coefficients:
Estimate Std. Error
(Intercept) 15.7002 9.5480
x 1.9086 0.8135
a) What is the value of the test statistic for the slope estimate?
b) At the 5% significance level, is the explanatory variable x statistically significant in predicting the response variable y?
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The computer output displays the coefficients estimates for al
east-squares regression model for a data set...
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...
Question 3 (3 points) The table below shows the regression results when calculating the least squares...
Question 3 (3 points) The table below shows the regression results when calculating the least squares line of regression relating variable x (predictor) to variable y (response): Intercept Coefficients 0.083 1.417 Standard Error 3.56 0.63 t Star 0.02 2.25 P-value 0.9822 0.0745 Does variable x share a statistically significant linear relationship with variable y at the 5% significance level? Yes, since the p-value of 0.0745 is greater than 0.05. Yes, since the slope coefficient of 1.417 is less than the...
An economist estimates the following model: y = 6g + 61x + E. She would like...
An economist estimates the following model: y = 6g + 61x + E. She would like to construct interval estimates for ywhen x equals 2. She estimates a modified model where y is the response variable and the explanatory variable is now defined as x = x - 2. A portion of the regression results is shown in the accompanying table. Regression Statistics R Square 0.42 Standard Error 3.86 Observations 12 Standard Coefficients Lower 95% Error t-stat p-value Upper 95%...
An economist estimates the following model: y = β0 + β1x + ε. She would like...
An economist estimates the following model: y = β0 + β1x + ε. She would like to construct interval estimates for y when x equals 2. She estimates a modified model where y is the response variable and the explanatory variable is now defined as x+ = x – 2. A portion of the regression results is shown in the accompanying table. Regression Statistics R Square 0.42 Standard Error 3.86 Observations 12 Coefficients Standard Error t-stat p-value Lower 95% Upper...
Suppose that you estimate a regression model with a sample size of 92 observations and 10...
Suppose that you estimate a regression model with a sample size of 92 observations and 10 explanatory variables, including the intercept, using ordinary least squares and the residual sum of squares from this estimated model is 22. You then conduct a Ramsey’s RESET on this model and the residual sum of squares from the Ramsey regression is 20. The test statistic associated with this Ramsey’s RESET is ______, and you can conclude at the 5-percent level of significance that _________________....
7,10,11 Based on the following regression output, what is the equation of the regression line? Regression...
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....
Question 3 3 pts Suppose that you estimate a regression model with a sample size of...
Question 3 3 pts Suppose that you estimate a regression model with a sample size of 112 observations and 10 explanatory variables, including the intercept, using ordinary least squares and the residual sum of squares from this estimated model is 22. You then conduct a Ramsey's RESET on this model and the residual sum of squares from the Ramsey regression is 20. The test statistic associated with this Ramsey's RESET is _, and you can conclude at the 5-percent level...
Question 3 3 pts Suppose that you estimate a regression model with a sample size of...
Question 3 3 pts Suppose that you estimate a regression model with a sample size of 112 observations and 10 explanatory variables, including the intercept, using ordinary least squares and the residual sum of squares from this estimated model is 22. You then conduct a Ramsey's RESET on this model and the residual sum of squares from the Ramsey regression is 20. The test statistic associated with this Ramsey's RESET is and you can conclude at the 5- percent level...
Please show full details steps for better understanding. Thank you. Regression Coefficients Estimates Model formula: mpg...
Please show full details steps for better understanding. Thank
you.
Regression Coefficients Estimates Model formula: mpg - cyl + disp + hp + am Term Coefficient Estimate Standard Error t Value (Intercept) 30.476 2.8655 10.636 cyl -0.8345 0.75709 -1.1022 disp -0.0077447 0.010716 -0.72272 Pr > It! 3.7246e-11 0.28008 0.47607 hp -0.032962 0.015614 -2.1111 0.044166 am 3.4453 1.4539 2.3697 0.025205 Model Summary: Coefficient of Determination (R-Squared) Model formula: mpg - cyl + disp + hp + am Residual Standard Error DF...
Computer output for fitting a simple linear model is given below.State the value of the sample...
Computer output for fitting a simple linear model is given below.State the value of the sample slope for this model and give the null and alternative hypotheses for testing if the slope in the population is different from zero. Identify the p-value and use it (and a 5% significance level) to make a clear conclusion about the effectiveness of the model. The regression equation is Y - 78.8 -0.014. Predictor Coef SE Coef T P Constant 78.79 11.30 6.97 0.000...
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...
Question 3 (3 points) The table below shows the regression results when calculating the least squares line of regression relating variable x (predictor) to variable y (response): Intercept Coefficients 0.083 1.417 Standard Error 3.56 0.63 t Star 0.02 2.25 P-value 0.9822 0.0745 Does variable x share a statistically significant linear relationship with variable y at the 5% significance level? Yes, since the p-value of 0.0745 is greater than 0.05. Yes, since the slope coefficient of 1.417 is less than the...
An economist estimates the following model: y = 6g + 61x + E. She would like to construct interval estimates for ywhen x equals 2. She estimates a modified model where y is the response variable and the explanatory variable is now defined as x = x - 2. A portion of the regression results is shown in the accompanying table. Regression Statistics R Square 0.42 Standard Error 3.86 Observations 12 Standard Coefficients Lower 95% Error t-stat p-value Upper 95%...
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....
Question 3 3 pts Suppose that you estimate a regression model with a sample size of 112 observations and 10 explanatory variables, including the intercept, using ordinary least squares and the residual sum of squares from this estimated model is 22. You then conduct a Ramsey's RESET on this model and the residual sum of squares from the Ramsey regression is 20. The test statistic associated with this Ramsey's RESET is _, and you can conclude at the 5-percent level...
Question 3 3 pts Suppose that you estimate a regression model with a sample size of 112 observations and 10 explanatory variables, including the intercept, using ordinary least squares and the residual sum of squares from this estimated model is 22. You then conduct a Ramsey's RESET on this model and the residual sum of squares from the Ramsey regression is 20. The test statistic associated with this Ramsey's RESET is and you can conclude at the 5- percent level...
Please show full details steps for better understanding. Thank
you.
Regression Coefficients Estimates Model formula: mpg - cyl + disp + hp + am Term Coefficient Estimate Standard Error t Value (Intercept) 30.476 2.8655 10.636 cyl -0.8345 0.75709 -1.1022 disp -0.0077447 0.010716 -0.72272 Pr > It! 3.7246e-11 0.28008 0.47607 hp -0.032962 0.015614 -2.1111 0.044166 am 3.4453 1.4539 2.3697 0.025205 Model Summary: Coefficient of Determination (R-Squared) Model formula: mpg - cyl + disp + hp + am Residual Standard Error DF...
Computer output for fitting a simple linear model is given below.State the value of the sample slope for this model and give the null and alternative hypotheses for testing if the slope in the population is different from zero. Identify the p-value and use it (and a 5% significance level) to make a clear conclusion about the effectiveness of the model. The regression equation is Y - 78.8 -0.014. Predictor Coef SE Coef T P Constant 78.79 11.30 6.97 0.000...
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