How would you test the restrictions using both a t-test and an f-test. Regression A: yi = Bo + B1x1 + B2x2 + B3x3 + u Where B is beta. A.) B1 - B2 = 1 B.) B1 + aB2 = 0 (where a is a constant) C.) B2 - B3 = 1 (I am looking for an answer defining the hypothesis, for example: Ho: B1 = 0 Ha: B2 does not = 0)
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- The least-squares regression equation is y=620.6x+16,624 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7004. In a particular region, 28.3 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $37,389. Is this income higher than what you would expect? Why?6. Consider the regression model Yi = βXi + ui, where ui and Xi satisfy the least squares assumptions in Key Concept 4.3. Let β ̄ denote an estimator of β that is constructed as β ̄ = Y ̄/X ̄, where Y ̄ and X ̄ are the sample means of Yi and Xi, respectively. (a) Show that β ̄ is a linear function of Y1 , ..., Yn . (b) Show that β ̄ is conditionally unbiased.In a Right Tailed Hypothesis test, the test statistic was found to be Z=2.74The rejection region included values greater than the critical value Zc=2.02 The conclusion would be to... Reject the null hypothesis because the test statistic is NOT in the rejection region Fail to reject the null hypothesis because the test statistic is in the rejection region Fail to reject the null hypothesis because the test statistic is NOT in the rejection region Reject the null hypothesis because the test statistic is in the rejection region Accept the null hypothesis because the test statistic is NOT in the rejection region
- The least-squares regression equation is y=784.6x+12,431 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7962. In a particular region, 26.5 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $29,889. Is this income higher or lower than what you would expect? Why?The least-squares regression equation is y=728.0x+14,705 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.8165. For every dollar increase in median income, the percent of adults having at least a bachelor's degree is ___%, on average. For a median income of $0, the percent of adults with a bachelor's degree is ____%.18 - Regresyon modelini bulunuz. Find the regression model.X Y 10 23 13 27 14 30 A) y=-3,16+0,58xB) y= 6,27+1,65xC) y=2,42+8,43xD) y=1,65+6,27xE) y=9,23+5,55x
- Find the least-squares regression line y^=b0+b1x through the points (−1,1),(1,8),(5,14),(8,20),(11,27) and then use it to find point estimates ?̂y^ corresponding to x=1 and x=6. For x=1, y^ = For x=6, y^ =The least-squares regression equation is y=620.6x+16,624 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7004. Predict the median income of a region in which 30% of adults 25 years and older have at least a bachelor's degree.
