Describe the relationship between bias and variability through an example. Given that the proportion of all Americans that believe President Bush is doing a good job is 42%, you then conduct a series of 10 polls to confirm or refute this claim of 42%. Describe your results if:a) There is high bias and high variability in your results. b) There is high bias and low variability in your results. c) There is low bias and high variability in your results. d) There is low bias and low variability in your results.

Answers explained below

Step-by-step explanation:

(a) If there is high bias and high variability, the numbers will not be anywhere near the 42 percent value. If I wrote down 10 numbers and they were all completely different from 42, I would know that I have high bias and high variability.

(b) If a certain number of polls have just about the same average, but are nowhere near 42 percent, they have high bias and low variability. For example, 20 percent, but its far from 42 percent.

(c) If there is low bias and high variability, if you list the polls they will have an average around 42 percent. If you average the polls, you'll get 42 percent low bias. The high variability might be 20, 72% 42% 63% 10%

(d) If there is low bias and low variability, all of the polls will be close to 42 percent.