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1) Scatterplots – a graph that shows the relationship between two sets of data. To make a scatterplot, graph the data as ordered pairs.

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2) Positive Association (correlation) – as one set of values increases, the other set of data tends to increase.

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3) Negative Association (correlation) – as one set of values increases, the other set of date tends to decrease.

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4) No Association (correlation) – the values show no relationship.

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5) Nonlinear Association – the ordered pairs are related, but do not resemble a straight line.

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Nonlinear Association

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Positive Association

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No Association

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Negative Association

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No Association

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Positive Association

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Nonlinear Association

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Negative Association

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6) Outliers – are data points with values that are significantly different from the other data points in the set.

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Is there a relationship shown in the graph? Yes. There is a positive linear association shown in the graph. Describe the relationship shown. As the daily temperature to increases, the number of visitors to the beach tends to increase also. What does the point (88, 450) represent? At a temperature of 88°, there would be about 450 visitors at the beach.

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Is there a relationship shown in the graph? Yes. There is a negative linear association shown in the graph. Describe the relationship shown. As the age of cars increases, the value of the car tends to decrease. What does the point (10, 6) represent? A car that is 10 years old has a value of $6,000.

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Is there a relationship shown in the graph? Yes. There is no association shown in the graph. The points appear to re random and scattered. Describe the relationship shown. The is no relationship between shoe sizes and colors in the rainbow.

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Is there a relationship shown in the graph? Yes. There is a negative linear association shown in the graph. Describe the relationship shown. As a person’s self esteem decreases, usually depression tends to increase.

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Is there a relationship shown in the graph? Yes. There is a no linear association shown in the graph. Describe the relationship shown. There is no relationship between shoe size and IQ.

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Is there a relationship shown in the graph? Yes. There is a negative linear association shown in the graph. Describe the relationship shown. As a person’s years of experience goes up, their income also tends to increase. What does the point (40, 78) represent? At 40 years, a person’s income would be at $78,000.

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7) Line of Best Fit (Trend Line) – are used if there is a linear association. They show the general trend of the data. There is usually no line that will fit every data point exactly, but the line should be as close to as many of the points on the scatterplot as possible.

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7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots. What could be the amount of money at a temperature of 21°?

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7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots. What could be the score on the Bar Exam if someone studies for 2 days? A person would likely score around an 8 on their Bar Exam if they only study for two days.

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Does the trend line on the right show an appropriate trend line for the graph? No. This is not a good trend line because it is only close to the top points.

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Does the trend line on the right show an appropriate trend line for the graph? No. This is not a good trend line because it is not going through all of the points on the graph.

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Does the trend line on the right show an appropriate trend line for the graph? Yes. This is a good trend line because it is going through all of the points and is close to all of the points.

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Does the trend line on the right show an appropriate trend line for the graph? No. This is not a good trend line because it is only close to the bottom points.

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A is not a good line because it is closer to the top of all of the points. B is not a good line because it is not going through all of the points. C is a good line because it is going through all the points and is close to many of the points. D is not a good line because it is closer to the bottom of all of the points.

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How much might a person’s salary be if they are employed for 6 years at Company Z?

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7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots. Suppose that someone listed a car for sale that is 4 years old. Make a prediction about the selling price. Step 1 – Draw a line of best fit to show the general fit of the line. Step 2 – Use the line to predict the selling price for a 4-year old car.

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Scatter Plots The accompanying table shows the number of applications for admissions that a college received for certain years. Create a scatter plot.

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