IDENTIFY PATTERNS AND MAKE PREDICTIONS FROM SCATTER PLOTS

43210 In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.  Make connection with other content areas. The student will construct, interpret and identify patterns of associations for bivariate data displayed in two- way tables and scatterplots. - Write equation of line-of-best-fit. And use it to make predictions. - Calculate relative frequencies and describe their meaning. The student will construct scatterplots and two-way tables from bivariate data. - Draw line-of- best-fit for scatter plot. - Identify patterns of associations. - Able to generally describe relationship of bivariate data displayed in a two-way table. With help from the teacher, the student has partial success with level 2 and 3 elements. Even with help, students have no success with investigating patterns of association with bivariate data. Focus 7 - Learning Goal #2: The student will construct, interpret and identify patterns of associations for bivariate data displayed in two-way tables and scatterplots.

 Scatter Plots show Linear Associations when the points cluster along a straight line. PATTERNS IN SCATTER PLOTS Linear Association

 Scatter Plots show Non-Linear Associations when the points do not cluster along a straight line PATTERNS IN SCATTER PLOTS Non- Linear Association

 A cluster is where data seems to be gathered around a particular value. PATTERNS IN SCATTER PLOTS Graph from Learnzillion.com What about this point?

 Outliers are values much greater or much less than the others in a data set. They lay outside the cluster of correlation  Scatter plots do not always contain outliers.  Do you notice any outliers in these scatter plots? PATTERNS IN SCATTER PLOTS

 Scatter Plots show a positive trend if y tends to increase as x increases or if y tends to decrease as the x decreases.  Scatter Plots show a negative trend if one value tends to increase and the other tends to decrease.  A scatter plot shows no trend (correlation) if there is no obvious pattern. PATTERNS IN SCATTER PLOTS POSITIVE NEGATIVE NO CORRELATION

 If there is a cluster or trend (positive or negative) we can use the line of best fit to make predictions. MAKE PREDICTIONS POSITIVE NEGATIVE NO CORRELATION

 Here is a scatter plot showing the relationship between students who took a History Test and a Math Test.  Is there a relationship between the scores?  Describe the relationship. HISTORY VS. MATH

 Since there is a positive correlation with the data, predict what a student who earned a 75% on their history test earned on their math test.  What can I draw that will help me make that prediction? HISTORY VS. MATH

 The line of best fit will help you make a prediction as to what score the student would get on their math test if they earned a 75% on their history test.  What score would he get on the math test? HISTORY VS. MATH About 77% 75% on History Test

 The following table shows the population between goldfish and star fish at different aquariums. POPULATION OF GOLDFISH & STAR FISH Goldfish Star Fish  Is there a relationship in this data?  What can we draw to see if there is a relationship?  Draw a scatter plot

 Is there a relationship with this data?  What kind of relationship is it?  If I have a goldfish population of 15, how many star fish will there be?  What can I draw to help me make that prediction? GOLDFISH & STAR FISH

 Draw a line of best fit.  If I have a goldfish population of 15, how many star fish will there be?  There would be about 26 star fish. GOLDFISH & STAR FISH