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 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
Do a correlation.
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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 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 and the IQ of their mother, you can use a scatter plot and calculate the correlation coefficient.
Here are the steps you can take to present the findings:
1. Prepare the data: Organize the given data into two columns, one for the IQ of each person and another for the IQ of their mother.
2. Create a scatter plot: Plot the data points on a graph with the IQ of each person on the x-axis and the IQ of their mother on the y-axis. Each data point represents a person in the survey.
3. Analyze the scatter plot: Observe the pattern of the data points on the scatter plot. Look for any discernible trends or patterns, such as whether the points tend to form a linear relationship or cluster in certain areas.
4. Calculate the correlation coefficient: Use a statistical software or spreadsheet tool to calculate the correlation coefficient between the IQ of each person and the IQ of their mother. The correlation coefficient measures the strength and direction of the linear relationship between two variables, ranging from -1 to 1. A positive value indicates a positive correlation, meaning higher IQ of one variable is associated with higher IQ of the other, while a negative value indicates a negative correlation, meaning higher IQ of one variable is associated with lower IQ of the other.
5. Interpret the correlation coefficient: Once you have the correlation coefficient, you can interpret the strength and direction of the relationship. If the correlation coefficient is close to 1 or -1, it indicates a strong linear relationship. If it is close to 0, it indicates a weak or no linear relationship.
6. Generate a report: Based on the scatter plot and correlation coefficient, you can summarize and present your findings in a report. Mention whether there is a correlation between the IQ of each person and the IQ of their mother and describe the strength and direction of the relationship. You can also include a visual representation of the scatter plot to support your analysis.
Remember to explain your methodology and any limitations of the analysis in your report.
By following these steps, you can present a comprehensive analysis of the relationship between the IQ of each person and the IQ of their mother based on the given survey data.