Readings

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Questions

Question 1

Instructions

For the following equations, select the most appropriate family of correlation

Questions

Multiple choice: 1 pt

\(y = 19.85 + 0.5 \times ln(x)\)

  • The most appropriate family is select the best answer

Multiple choice: 1 pt

\(y = 244.5 + -23.7x\)

  • The most appropriate family is select the best answer

Multiple choice: 1 pt

\(y = 23.7 + 1.17x + 0.3x^2\)

  • The most appropriate family is select the best answer

Question 2

Short answer: 3 pts

  • Explain why a statistically significant correlation doesn’t necessarily imply causation.
  • You need to use a concrete example (real or made up) of a situation where you might find a significant correlation that is not due to causation.

Question 3

Instructions

Consider the following plot and select the most appropriate correlation type.

Multiple Choice: 1 pt. 

The most appropriate correlation to use for the data summarized in the scatterplot is:

Question 4

Instructions

Consider this hypothetical scenario:

A tree survey was conducted to assess the risk of wind damage to trees in Amherst.

Trees were classified into three tree failure risk categories: low risk, medium risk, and high risk.

After a heavy windstorm, a follow-up survey was conducted to assess the trees for failure. Trees were classified as either failed (major damage to the large branches or the entire tree) or intact (little or no damage).

You arrange the data into the following table:

failed intact
low risk 19 35
med risk 34 55
high risk 11 9

You want to know whether your risk rating system was effective. In other words, you would like to know whether there is an association between your risk ratings and tree failures.

Multiple Choice: 1 pt

Of the following, what is the most appropriate statistical test?

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