1. Exploring Relationships Between Numerical Variables Scatterplots

2. Seating Chart

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

4. Vocabulary 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. scatterplot 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 __. Does the average driving distance affect accuracy? par tee box long straight far

6. Making a Scatterplot (by hand) ①Decide which variable is the explanatory variable and label the x-axis. Label the y-axis with the response variable. ②Scale each axis individually. ③Draw a dot to represent each athlete. Average Driving Distance Driving Accuracy 245 250 255 260 265 270 275 0.64 0.68 0.72 0.76 0.80 0.84 0.88

7. Making a Scatterplot (TI-84) ①Enter L 1 (explanatory variable / x-axis) Enter L 2 (response variable / y-axis) ①Turn the Scatterplot on

8. Making a Scatterplot (TI-84) ③Look at the scatterplot ④Check 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 Mean Driving Accuracy Mean Putting Average Good Drivers Bad Putters Good Drivers Bad Putters Bad Drivers Bad Putters Bad Drivers Bad Putters Bad Drivers Good Putters Bad Drivers Good Putters Good 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 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 ________ variable is plotted on the vertical axis. We can describe the __________ of two variables: direction (________ or _______ ) form ( _____ or_________ ) strength (_____ to ____ ) scatterplot explanatory response association positive negative linear non-linear strong weak