True or false and justify please -Refer to a statistical estimation of the param
ID: 3050473 • Letter: T
Question
True or false and justify please
-Refer to a statistical estimation of the parameters of the equitation Yi=a+Bxi+ui
Are usually efficient whenever a hat and B hat are statistically significant.
-The width of the 95 percent confidence interval constructed for a population mean will decrease if the sampling error is increase.
-In a least squares regression equation that includes an intercept – term, the some of the residuals is zero only, if the estimator of the intercept term is unbiased.
-Suppose a regression of Y on X is run and the t statistics for testing Ho: B1 not equal 0 versus H1:B1=0 has p value of 0.0795 associated with it. Using a 5% level of significant, the null hypothesis should be rejected.
-If the correlation between Y and X is 0.9, then the R2 value for a regression of Y on X will be 90%
1You are given the following data besed on 10 pairs of berton Y and XExplanation / Answer
Are usually efficient whenever a hat and B hat are statistically significant.
True
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The width of the 95 percent confidence interval constructed for a population mean will decrease if the sampling error is increase.
As the sampling error increases width of confidence interval will also increase.
Answer: false
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In a least squares regression equation that includes an intercept – term, the some of the residuals is zero only, if the estimator of the intercept term is unbiased.
true
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Suppose a regression of Y on X is run and the t statistics for testing Ho: B1 not equal 0 versus H1:B1=0 has p value of 0.0795 associated with it. Using a 5% level of significant, the null hypothesis should be rejected.
Since p-value is greater than 0.05 so we fail to reject the null hypothesis.
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If the correlation between Y and X is 0.9, then the R2 value for a regression of Y on X will be 90%.
The r-sqaure is:
r-square = 0.9*0.9 = 0.81
The r-square is 81%.
Answer: false
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