High School

Given the sample data, answer the following questions:

1. Develop a scatter diagram for this set of data. What does the scatter diagram indicate?
2. Compute and interpret the sample covariance.

Answer :

Final answer:

A scatter diagram is used to visualize the relationship between two variables. The sample covariance measures the variability between two variables.

Explanation:

To develop a scatter diagram, plot the values of the X variable on the horizontal axis and the values of the Y variable on the vertical axis. Each point on the scatter plot represents the intersection of an X value and a corresponding Y value. The scatter diagram indicates the relationship between the X and Y variables.

To compute the sample covariance, subtract the sample mean of the X variable from each X value, and subtract the sample mean of the Y variable from each Y value. Then, multiply these differences together, sum them up, and divide by the sample size minus 1. The sample covariance measures how the X and Y variables vary together.

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