Multiple Linear RegressionIf the p-value for the overall significance hypothesis test of multiple linear regression is 0.04, what can you comment on the null hypothesis at a 99 percent confidence level?The annual income has a significant influence on the credit card bill.The annual income and annual credit card charges have a significant influence on the credit card bill.The annual income, annual credit card charges, and household size have no significant influence on the credit card bill.At least one of the annual income, annual credit card charges, and household size has a significant influence on the credit card bill.Can’t comment at a 99 percent confidence level.
Question
Multiple Linear RegressionIf the p-value for the overall significance hypothesis test of multiple linear regression is 0.04, what can you comment on the null hypothesis at a 99 percent confidence level?The annual income has a significant influence on the credit card bill.The annual income and annual credit card charges have a significant influence on the credit card bill.The annual income, annual credit card charges, and household size have no significant influence on the credit card bill.At least one of the annual income, annual credit card charges, and household size has a significant influence on the credit card bill.Can’t comment at a 99 percent confidence level.
Solution
The p-value of 0.04 indicates that there is a 4% chance that the observed results occurred by chance, assuming the null hypothesis is true. The null hypothesis in a multiple linear regression is typically that none of the independent variables (annual income, annual credit card charges, and household size in this case) have a significant influence on the dependent variable (credit card bill).
At a 99% confidence level, the threshold for significance (alpha) is 0.01. Since the p-value is greater than 0.01, we would not reject the null hypothesis at a 99% confidence level. Therefore, we cannot conclude that at least one of the annual income, annual credit card charges, and household size has a significant influence on the credit card bill at a 99% confidence level.
So, the correct answer is "Can’t comment at a 99 percent confidence level."
Similar Questions
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