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8.sp.a.1 additional practice (contd) olivia was studying the correlatio…

Question

8.sp.a.1 additional practice (contd)
olivia was studying the correlation between the number of pets someone owns and the number of states they have been to. below is the data she collected.

number of petsstates visitednumber of petsstates visitednumber of petsstates visited
461381247
31704239
11105118
225622724
  1. create a scatter plot using the data in the table.
  2. what type of association do the two variables seem to have? (positive linear association, negative linear association, non - linear association, no association)
  3. does there appear to be an outlier?
  4. based on the data, what can you say about the number of pets someone owns and how many states they have been to?

Explanation:

Step1: Analyze scatter - plot for association

Examine the general trend of points. If points seem to rise from left - to - right, it's positive; if they fall, it's negative; if no clear trend, no association.
Looking at the data points on the scatter - plot, there is no clear upward or downward linear trend. So, there is no linear association.

Step2: Identify outliers

An outlier is a data point that is far from other data points. In the scatter - plot, no single point is extremely far from the rest of the points in terms of both the number of pets and the number of states visited.

Step3: Conclude based on data

Based on the lack of a clear trend and no outliers, we can say that there does not seem to be a strong relationship between the number of pets someone owns and the number of states they have been to.

Answer:

  1. No association
  2. No
  3. There does not seem to be a strong relationship between the number of pets someone owns and the number of states they have been to.