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4. In an estimated simple regression model, based on 102 observations, the estimated slope parameter (b2)...
2. Using data from 2013 on 64 black females, the estimated linear regression between WAGE (earnings...
2. Using data from 2013 on 64 black females, the estimated linear regression between WAGE (earnings per hour, in S) and years of education, EDUC is WAGE8.451.99EDUC The standard error of the estimated slope coefficient is 0.52. Construct and interpret a 95% interval estimate for the effect of an additional year of education on a black female's expected hourly wage rate a. b. The standard error of the estimated intercept is 7.39. Test the null hypothesis that the intercept A-0...
The following linear regression model is estimated to determine the Weekly sales ($000’s) in a fast...
The following linear regression model is estimated to determine the Weekly sales ($000’s) in a fast food restaurant against number of vouchers printed in the local newspaper for the sample of 100 observations. Sales = 11.5676 + 0.4618 Vouchers + e (s.e) (0.8341) (0.1001) (a) Interpret the intercept. Does this make sense? (b) Interpret the slope coefficient. (c) Test the significance of the slope against a suitable one-tailed alternative, at the 5% level of significance. Justify your choice of the...
12. Consider a statistical inference that test the null hypothesis be Ho: c against H : esuch that c is a positive...
12. Consider a statistical inference that test the null hypothesis be Ho: c against H : esuch that c is a positive value. The test statistic associated with this mull hypothesis is given by t(b-c)/se(b) At significance level a, the test statistic is smaller than the critical value te(a/2, N - 2), that is iste(a/2, N- 2). Mark the correct alternative: (a) The test p-value increases if we increase c. (b) c does not belong to the estimated confidence interval...
Consider the following regression results based on 20 observations. [You may find it useful to reference...
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...
A t statistic of 1.2 is computed from a large simple random sample of 10,000 observations...
A t statistic of 1.2 is computed from a large simple random sample of 10,000 observations to test a null hypothesis H0: μ-O, against an alternative Ha. The test is performed at a level of significance of 0.05. what is the corresponding p-value if the alternative is Ha: μ+0 ? (not equal to zero) Hint: For large samples, the t-statistic follows the N(O,1) distribution just as the z-statistic
Please help, thanks MC 1) Assume that the 99% confidence interval for a regression slope parameter β2 is from -0.3 to 0.8, while the 95% confidence interval for is from 0.1 to 0.4. Suppose you ar...
Please help, thanks
MC 1) Assume that the 99% confidence interval for a regression slope parameter β2 is from -0.3 to 0.8, while the 95% confidence interval for is from 0.1 to 0.4. Suppose you are interested in a test of the null hypothesis Ho : β2--O against the alternative of H1 : β2 Which of the following staternents is true about the p-value for this test? a) p-value >0.05 99 % b) p-value >0.10 fol to ret at ll...
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...
Part a) Compute the regression line for these data, and provide your estimates of the slope...
Part a)
Compute the regression line for these data, and provide your
estimates of the slope and intercept parameters. Please round
intermediate results to 6 decimal places.
Slope:
Intercept:
Note: For sub-parts below, use the slope and intercept
values in Part a, corrected to 3 decimal places to calculate
answers by hand using a scientific calculator.
Part b)
Based on the regression model, what level of horsepower would you
expect the engine to produce if running at 24002400 rpm?
Answer:...
Question 1 (1 point) Assume that you have estimated the slope coefficient (b) for the explanatory...
Question 1 (1 point) Assume that you have estimated the slope coefficient (b) for the explanatory variable X for a SLR of the form y-a+bX +ei. Assume further that the p-value for b-0.0267. If the level of significance is 1%, then the null hypothesis is rejected the null hypothesis is not rejected the null hypothesis is possibly rejected the null hypothesis could be rejected or not rejected Question 2 (1 point) Assume that you have estimated the slope coefficient (b)...
Question 4 (3 points) The statsmodels ols() method is used on a cars dataset to fit...
Question 4 (3 points) The statsmodels ols() method is used on a cars dataset to fit a multiple regression model using Quality as the response variable. Speed and Angle are used as predictor variables. The general form of this model is: Y = Bo + B. Speed+B Angle If the level of significance, alpha, is 0.10, based on the output shown, is Angle statistically significant in the multiple regression model shown above? Select one. OLS Regression Results ==================================== ========== 0.978...
2. Using data from 2013 on 64 black females, the estimated linear regression between WAGE (earnings per hour, in S) and years of education, EDUC is WAGE8.451.99EDUC The standard error of the estimated slope coefficient is 0.52. Construct and interpret a 95% interval estimate for the effect of an additional year of education on a black female's expected hourly wage rate a. b. The standard error of the estimated intercept is 7.39. Test the null hypothesis that the intercept A-0...
12. Consider a statistical inference that test the null hypothesis be Ho: c against H : esuch that c is a positive value. The test statistic associated with this mull hypothesis is given by t(b-c)/se(b) At significance level a, the test statistic is smaller than the critical value te(a/2, N - 2), that is iste(a/2, N- 2). Mark the correct alternative: (a) The test p-value increases if we increase c. (b) c does not belong to the estimated confidence interval...
A t statistic of 1.2 is computed from a large simple random sample of 10,000 observations to test a null hypothesis H0: μ-O, against an alternative Ha. The test is performed at a level of significance of 0.05. what is the corresponding p-value if the alternative is Ha: μ+0 ? (not equal to zero) Hint: For large samples, the t-statistic follows the N(O,1) distribution just as the z-statistic
Please help, thanks
MC 1) Assume that the 99% confidence interval for a regression slope parameter β2 is from -0.3 to 0.8, while the 95% confidence interval for is from 0.1 to 0.4. Suppose you are interested in a test of the null hypothesis Ho : β2--O against the alternative of H1 : β2 Which of the following staternents is true about the p-value for this test? a) p-value >0.05 99 % b) p-value >0.10 fol to ret at ll...
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...
Part a)
Compute the regression line for these data, and provide your
estimates of the slope and intercept parameters. Please round
intermediate results to 6 decimal places.
Slope:
Intercept:
Note: For sub-parts below, use the slope and intercept
values in Part a, corrected to 3 decimal places to calculate
answers by hand using a scientific calculator.
Part b)
Based on the regression model, what level of horsepower would you
expect the engine to produce if running at 24002400 rpm?
Answer:...
Question 1 (1 point) Assume that you have estimated the slope coefficient (b) for the explanatory variable X for a SLR of the form y-a+bX +ei. Assume further that the p-value for b-0.0267. If the level of significance is 1%, then the null hypothesis is rejected the null hypothesis is not rejected the null hypothesis is possibly rejected the null hypothesis could be rejected or not rejected Question 2 (1 point) Assume that you have estimated the slope coefficient (b)...
Question 4 (3 points) The statsmodels ols() method is used on a cars dataset to fit a multiple regression model using Quality as the response variable. Speed and Angle are used as predictor variables. The general form of this model is: Y = Bo + B. Speed+B Angle If the level of significance, alpha, is 0.10, based on the output shown, is Angle statistically significant in the multiple regression model shown above? Select one. OLS Regression Results ==================================== ========== 0.978...
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