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Exploring Relationships Between Numerical Variables

Exploring Relationships Between Numerical Variables. Scatterplots. Seating Chart. Try this …. graph. The first step in analyzing data it to make a ______. What is the slope of the following line?. -1. Vocabulary. scatterplot .

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Exploring Relationships Between Numerical Variables

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  1. Exploring Relationships Between Numerical Variables Scatterplots

  2. Seating Chart

  3. Try this … graph • The first step in analyzing data it to make a ______. • What is the slope of the following line? -1

  4. Vocabulary scatterplot • A __________ helps us decide if there is a relationship between two numerical variables. • The __________ variable is plotted on the x-axis. • The ________ variable (the one we are most interested in) is plotted on the y-axis. explanatory response explanatory response

  5. Golf • The goal of golf is to putt at or under ___. • Every round starts off at the_______. • The golfer must decide: • Hit ____(use a driver & hit off a tee) • Hit ______(fairway has short grass) • Very difficult to be accurate when hitting __. par tee box long straight far Does the average driving distance affect accuracy?

  6. Making a Scatterplot (by hand) • Decide which variable is the explanatory variable and label the x-axis. Label the y-axis with the response variable. • Scale each axis individually. • Draw a dot to represent each athlete. 0.88 0.84 0.80 0.76 Driving Accuracy 0.72 0.68 0.64 255 260 265 270 275 245 250 Average Driving Distance

  7. Making a Scatterplot (TI-84) • Enter L1 (explanatory variable / x-axis) Enter L2 (response variable / y-axis) • Turn the Scatterplot on

  8. Making a Scatterplot (TI-84) • Look at the scatterplot • Check out the scale

  9. Association: direction There exists a relationship between the two variables. Negative Positive

  10. Association: no direction If there is no relationship between the two variables, we say there is __ association. no Bad Drivers Bad Putters Good Drivers Bad Putters Mean Driving Accuracy Mean Putting Average Bad Drivers Good Putters Good Drivers Good Putters

  11. Association: form • Linear • Non-Linear

  12. Association: strength • Very Strong • Strong • Moderate • Weak

  13. Sum it Up scatterplot • The _________ is a graph that displays the relationship between two numerical variables. • In a scatterplot, the __________ variable is plotted on the horizontal axis and the ________ variableis plotted on the vertical axis. • We can describe the __________ of two variables: • direction (________ or _______ ) • form ( _____ or_________ ) • strength (_____ to ____ ) explanatory response association positive negative linear non-linear weak strong

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