A researcher’s excel results are shown below using Femlab (labor force participa

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.

Regression Statistics:

Multiple R_0.313422848;

R square_0.098233882;

Adjusted R square_0.079447088;

standard error_32.07003698;

Observations_50.

From left to right in table 2;

Variable, Coefficients, Standard error, tStat;

Intercept, 343.619889, 61.0823514, 5.62552;

Femlab, -2.2833659, 0.99855319, -2.28667

Which statement is valid regarding the relationship between Femlab and Cancer?

A) This model explains about 10 percent of the variation in state cancer rates.

B) At the 0.05 level of significance, there isn’t enough evidence to say the two variables are related.

C) If your sister starts working, the cancer rate in your state will decline.

Please also show your work and give the explanation. Thank you.

Explanation / Answer

Answer is:

This model explains about 10 percent of the variation in statecancer rates. As R^2 value explains the variations between two groups or rather how much one variable explains the other.

Here, R^2 = 0.0982 or 9.82% = 10% approx

R-squared values range from 0 to 1 and are commonly stated as percentages from 0 to 100%

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