These are math questions relating to statistics,Answer them simply and to the point.
Analyze how two variables are correlated: size of committee and “efficiency” of committee. Its reported a friends had a correlation coefficient (r) of -0.85. What does the negative sign on the “r” tell us? (Hint: Don’t just say that the relationship is negative – explain what that means!!)
Consider again the r = -0.85. How strong does this appear to be, based on the textbook’s description of how to qualitatively interpret the size of “r”?
Think about the two variables and the “r” of -0.85. Why might his friends or colleagues think this researcher is lying about the correlation between group size and efficiency? Hint: think about both the strength AND direction of the correlation!
It is discovered that the Pearson correlation coefficient (r) for the correlation of education and income is .5, but for the correlation of education and support for wealth redistribution, it is only .2. Why would it not surprise us to find that the strength of the correlation is stronger in the first scenario than in the second?
Thinking back to the scenarios in the previous question, why aren’t either of the correlation coefficients closer to 1?
Explain why a person would be wrong to claim, “My correlation coefficient is positive, therefore the two variables are highly correlated.”