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## Scatter Plots and Correlations

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**Is there a relationship between the amount of gas put in a**car and the number of miles that can be driven?**Positive Correlation**• As one set of data values increases, so does the other.**Is there a relationship between the number of things you buy**at the mall and the amount of money you have left?**Negative Correlation**• As one set of data values increases, the other decreases.**Is there a relationship between a person’s age and the**temperature outside?**No Correlation**• There is no relationship between the two sets of data.**Would a scatter plot show a positive,negative, or no**correlation? • Number of pages printed by a printer and the amount of ink left in the cartridge. • Negative Correlation!**Would a scatter plot show a positive,negative, or no**correlation? • Age of a child and the child’s shoe size • Positive Correlation!**Would a scatter plot show a positive,negative, or no**correlation? • Number of letters in a person’s first name and the person’s height. • No Correlation!**Would a scatter plot show a positive,negative, or no**correlation? • Shots attempted and the number of points made in a basketball game • Positive Correlation!**Would a scatter plot show a positive,negative, or no**correlation? • Length of a taxi ride and the amount of the fare • Positive Correlation!**Would a scatter plot show a positive,negative, or no**correlation? • Outside temperature and the cost of air conditioning. • Positive Correlation!**Would a scatter plot show a positive,negative, or no**correlation? • Miles ridden on a bicycle and the thickness of the tire tread • Negative Correlation!**Would a scatter plot show a positive,negative, or no**correlation? • Temperature outside and the amount of clothing a person wears • Negative Correlation!**Think of some situations that show a….**• Positive Correlation: • Negative Correlation: • No Correlation:**Which graph to use…..?**• Use bar graphs to make comparisons. • Use line graphs to show change over time. • Use circle graphs to show percentage of a whole. • Use histograms when the data is arranged in intervals. • Use scatter plots to show correlations between two sets of numerical data.**Using the appropriate measure**of central tendency In a company there are 10 employees who each make $10,000 per year. The boss makes $80,000 per year. A job recruiter tells applicants that the average salary at the company is $16,364. Is this misleading?**Which measure of central tendency did the job recruiter**use? • Which measure of central tendency should he have used?**What measure of central tendency**to use? Use the mean when the data values are close together. • Use the median when there are large gaps in the data values. • Use the mode when looking for the most common outcome.