Suppose you are given data from a survey showing the IQ of each person interviewed and the IQ of his or her mother. That is all the information that you have. Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?

To analyze the relationship between the IQ of each person surveyed and the IQ of their mother, you could use a scatter plot.

A scatter plot is a graphical representation that shows the relationship between two variables. In this case, you can plot the IQ of each person on the x-axis and the IQ of their mother on the y-axis. Each data point on the plot represents an individual from the survey.

By visually examining the scatter plot, you can observe the pattern or trend between the IQs of individuals and their mothers.

Here are some things you could present in your report based on the scatter plot:

1. Trend Analysis: Determine if there is a clear relationship between the IQ of individuals and their mothers. For example, you might observe that as the IQ of individuals increases, their mothers' IQ also tends to be higher. This would indicate a positive correlation between the variables.

2. Correlation Coefficient: Calculate the correlation coefficient to quantify the strength and direction of the relationship. The correlation coefficient ranges from -1 to 1. A positive value indicates a positive correlation, while a negative value indicates a negative correlation. A value close to 1 or -1 suggests a strong correlation.

3. Prediction: If a strong positive relationship is observed, you might be able to make predictions about the IQ of individuals based on their mothers' IQ. This could be useful in certain contexts, such as educational interventions or counseling.

It's important to note that correlation does not imply causation, so it's essential to interpret the relationship cautiously and consider potential confounding factors. Additionally, the sample size and representativeness of the survey data should be mentioned to provide context and ensure the generalizability of the findings.