Math Transition To College Math - Unit 16: Scatter Plots and Least Squares Line
1) Explain how a scatter plot can be used.

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2) When comparing data in a scatter plot, what does “correlation” mean?

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For the next three problems, determine what type of relationship (positive, negative, or none) is shown.

3) What type of relationship is shown?

4) What type of relationship is shown?

5) What type of relationship is shown?

For the next three problems, determine whether a scatter plot of the data might show a positive, negative, or no relationship. Explain your answer.

6) weight, month of birth (State the type of relationship and explain why.)

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7) study time, grades (State the type of relationship and explain why.)

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8) number of hours you practice running, final placement in a race (State the type of relationship and explain why.)

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9) Explain how to find the equation of the line of best fit for a scatter plot.

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10) On a piece of graph paper, draw a scatter plot for the set of data. Identify the correlation, if any, and then determine the line of best fit if the correlation is positive or negative.

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11) On a piece of graph paper, draw a scatter plot for the set of data. Identify the correlation, if any, and then determine the line of best fit if the correlation is positive or negative.

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12) On a piece of graph paper, draw a scatter plot for the set of data. Identify the correlation, if any, and then determine the line of best fit if the correlation is positive or negative.

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Use the data below to create a scatter plot, and then answer the next four problems.

13) What type of relationship, if any, does the data show between the weeks of experience and the speed? Please explain.

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14) Find the equation of the line of best fit for the data.

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15) Using the equation of the line of best fit and the scatter plot, estimate the experience level of a student whose speed is 39 words per minute, and then explain how you found your answer.

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16) Explain what conclusions you can make about the trend of the data displayed above.

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17) The scatter plot of monthly tennis shoe sales and bicycle accidents in Ohio during June shows a positive relationship. (a) Why might this be true? (b) Does a positive relationship necessarily mean one factor causes the other? Explain.

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The scatter plot below shows the speed for winning the Daytona 500 from 1960 – 1990. Use this data to answer the next three problems.

18) Find the point(s) that represent(s) the fastest winning speed.

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19) Use the scatter plot to predict the winning speed in 2000.

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20) What conclusions can you make from the scatter plot? Please explain.

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