IDENTIFY PATTERNS AND MAKE PREDICTIONS FROM SCATTER PLOTS

IDENTIFY PATTERNS AND MAKE PREDICTIONS FROM SCATTER PLOTS

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. 4 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. 3 The student will construct, interpret and identify patterns of associations for bivariate data displayed in twoway tables and scatterplots. - Write equation of line-of-best-fit. And use it to make predictions. - Calculate relative frequencies and describe their meaning. 2 The student will construct scatterplots and two-way tables from bivariate data. - Draw line-ofbest-fit for scatter plot. - Identify patterns of associations. - Able to generally describe relationship of bivariate data displayed in a two-way table. 1 With help from the teacher, the student has partial success with level 2 and 3 elements. 0 Even with help, students have no success with investigating patterns of association with bivariate data.

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

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

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

PATTERNS IN SCATTER PLOTS 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. POSITIVE NO CORRELATION NEGATIVE

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

HISTORY VS. MATH 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 75% on History Test 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. About 77% What score would he get on the math test?

POPULATION OF GOLDFISH & STAR FISH The following table shows the population between goldfish and star fish at different aquariums. Goldfish 13 18 19 20 27 16 22 24 32 12 Star Fish 30 25 20 15 12 28 18 13 10 29 § Is there a relationship in this data? § What can we draw to see if there is a relationship? § Draw a scatter plot

GOLDFISH & STAR FISH 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.