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1. Review the OLS model with one variable and an intercept. Estimate a model with unknown slope a...
Use the data in MEAP00 to answer this question. Estimate the model by OLS, and report...
Use the data in MEAP00 to answer this question. Estimate the model by OLS, and report the results in the usual form. Is each explanatory variable statistically significant at the 5% level? Obtain the fitted values from the regression in part (i). What is the range of fitted values? How does it compare with the range of the actual data on math4? Obtain the residuals from the regression in part (i). What is the building code of the school that...
Question 1 Consider the simple regression model (only one covariate): y= BoB1 u Let B1 be the OLS estimator of B1. a) W...
Question 1 Consider the simple regression model (only one covariate): y= BoB1 u Let B1 be the OLS estimator of B1. a) What are the six assumptions needed for B1 to be unbiased, have a simple expression for its variance, and have normal distribution? (3 points) b) Under Assumptions 1-6, derive the distribution of B1 conditional on x\,..., xn. (3 points) In lecture we described how to test the null hypothesis B1 bo against the alternative hypothesis B1 bo, where...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ (1), where wage is hourly wage, measured in dollars, and educ years of formal education. According to (1), a person with no education has a predicted hourly wage of [wagehat] dollars. (NOTE: Write your answer in number format, with 2 decimal places of precision level; do not write your answer as a fraction. Add a leading minus sign symbol, a leading zero and trailing...
Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% con...
Need help with stats true or false questions
Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
The effect of mean monthly daily temperature and cost per kilowatthour x, on the mean daily...
The effect of mean monthly daily temperature and cost per kilowatthour x, on the mean daily household consumption of electricity (in kilowatt-hours, kWh) was the subject of a short-term study. The investigators expected the demand for electricity to rise in cold weather (due to heating), fall when the weather was moderate, and rise again when the temperature rose and there was need for air-conditioning. They expected demand to decrease as the cost per kilowatt-hour increased, reflecting greater attention to conservation....
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 Consider the simple regression model (only one covariate): y= BoB1 u Let B1 be the OLS estimator of B1. a) What are the six assumptions needed for B1 to be unbiased, have a simple expression for its variance, and have normal distribution? (3 points) b) Under Assumptions 1-6, derive the distribution of B1 conditional on x\,..., xn. (3 points) In lecture we described how to test the null hypothesis B1 bo against the alternative hypothesis B1 bo, where...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ (1), where wage is hourly wage, measured in dollars, and educ years of formal education. According to (1), a person with no education has a predicted hourly wage of [wagehat] dollars. (NOTE: Write your answer in number format, with 2 decimal places of precision level; do not write your answer as a fraction. Add a leading minus sign symbol, a leading zero and trailing...
Need help with stats true or false questions
Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
The effect of mean monthly daily temperature and cost per kilowatthour x, on the mean daily household consumption of electricity (in kilowatt-hours, kWh) was the subject of a short-term study. The investigators expected the demand for electricity to rise in cold weather (due to heating), fall when the weather was moderate, and rise again when the temperature rose and there was need for air-conditioning. They expected demand to decrease as the cost per kilowatt-hour increased, reflecting greater attention to conservation....
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:...
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