A researcher's Excel results are shown below using Femlab (labor force participation rate among females) to try to predict Cancer (death rate per 100,000 population due to cancer) in the 50 U.S. states. $$\begin{array} { l r }
\hline { \text { Regression Statistics } } \
\hline \text { Multiple R } & 0.313422848 \
\text { R Square } & 0.098233882 \
\text { Adjusted R Square } & 0.079447088 \
\text { Standard Error } & 32.07003698 \
\text { Observations } & 50 \
\hline
\end{array}$$ $$\begin{array} { l r r r }
\hline \text { Variable } & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } \
\hline \text { Intercept } & 343.619889 & 61.0823514 & 5.62552 \
\text { Femlab } & - 2.2833659 & 0.99855319 & - 2.28667 \
\hline
\end{array}$$ Which of the following statements is not true?
A)The standard error is too high for this model to be of any predictive use.
B)The 95 percent confidence interval for the coefficient of Femlab is -4.29 to -0.28.
C)Significant correlation exists between Femlab and Cancer at ? = .05.
D)The two-tailed p-value for Femlab will be less than .05.

Question

A researcher's Excel results are shown below using Femlab (labor force participation rate among females) to try to predict Cancer (death rate per 100,000 population due to cancer) in the 50 U.S. states. $$\begin{array} { l r } 
\hline { \text { Regression Statistics } } \
\hline \text { Multiple R } & 0.313422848 \
\text { R Square } & 0.098233882 \
\text { Adjusted R Square } & 0.079447088 \
\text { Standard Error } & 32.07003698 \
\text { Observations } & 50 \
\hline
\end{array}$$ $$\begin{array} { l r r r } 
\hline \text { Variable } & \text { Coefficients } & \text { Standard Error } &  { t \text { Stat } } \
\hline \text { Intercept } & 343.619889 & 61.0823514 & 5.62552 \
\text { Femlab } & - 2.2833659 & 0.99855319 & - 2.28667 \
\hline
\end{array}$$ Which of the following statements is not true?
A)The standard error is too high for this model to be of any predictive use.
B)The 95 percent confidence interval for the coefficient of Femlab is -4.29 to -0.28.
C)Significant correlation exists between Femlab and Cancer at ? = .05.
D)The two-tailed p-value for Femlab will be less than .05.

Quizplus · Accepted Answer

The standard error of the model is relatively high, but it does not necessarily mean the model is of no predictive use. The regression statistics indicate that there is a significant relationship between Femlab and Cancer, as the p-value for Femlab is less than .05, and there is a low probability that the coefficient is due to chance. The confidence interval for the coefficient of Femlab does not contain 0, which indicates that the coefficient is statistically significant at the 95% confidence level. Therefore, A is not true, since the high standard error does not necessarily invalidate the model.

A Researcher's Excel Results Are Shown Below Using Femlab (Labor