where and denote the estimates of the line intercept α and slope β, respectively. Given the following data: Y: 11 14 20 19 20 X: 1 2 3 4 5 Calculate the OLS estimates for the simple linear model in equation (1). Estimate the standard error of the regression in equation (1). Compute the regression’s and test whether this is significantly different from zero at 5% and 1% statistical significance levels. You can find the F-test’s critical values in the Tables in the appendix A at the end of the exam paper
where and denote the estimates of the line intercept α and slope β, respectively. Given the following data: Y: 11 14 20 19 20 X: 1 2 3 4 5 Calculate the OLS estimates for the simple linear model in equation (1). Estimate the standard error of the regression in equation (1). Compute the regression’s and test whether this is significantly different from zero at 5% and 1% statistical significance levels. You can find the F-test’s critical values in the Tables in the appendix A at the end of the exam paper
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
Related questions
Question
Consider the following model:
, Equation (1)
where and denote the estimates of the line intercept α and slope β, respectively.
Given the following data:
Y: 11 14 20 19 20
X: 1 2 3 4 5
- Calculate the OLS estimates for the simple linear model in equation (1).
- Estimate the standard error of the regression in equation (1).
- Compute the regression’s and test whether this is significantly different from zero at 5% and 1% statistical significance levels. You can find the F-test’s critical values in the Tables in the appendix A at the end of the exam paper.
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