Bivariate DataLearn to set up bivariate

data in tables and calculate relative

frequencies.

4 3 2 1 0In 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 theteacher, 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.

Vocabulary: Categorical Data – data that is in two

distinct groups Male & Female Has siblings & Does not have siblings Republican & Democrat Has chores & Does not have chores

Bivariate – data for two variables

Thirty students were surveyed to see if they play sports or play an instrument. The data was organized as shown below.

Sports Instrument

Row Total

Male 12 3 15

Female 5 10 15Column Total 17 13 30

What can you conclude from this data?

Copy this table into your notes.

Change to percents… We can find relative frequencies by changing the

data to percents. Divide male sports by it’s row total (12/15 = .8) Divide male instruments by it’s row total (3/15 = .2) Divide the male row total by the column total

(15/30 = .5) Repeat process for the rest of the rows.

Sports Instrument

Row Total

Male 80% 20% 50%

Female 33% 67% 50%Column Total 57% 43% 100%

What can you conclude from this data?

Rewrite the values of the table as relative frequencies.

Has Pets

Yes No

Has Siblings

Yes 32 22

No 27 19

1. Add up each row.2. Add up each column.3. Divide siblings yes pets

yes by the row total (32/54 = .59)

4. Divide siblings yes pets no by the row total (22/54 = .41)

5. Divide siblings no pets yes by the row total (27/46 = .59)

6. Divide siblings no pets no by the row total (19/46 = .41)

7. Change row totals to percents.

Has Pets Row TotalYes No

Has Siblings

Yes

32 22 54

No 27 19 46

Column Total 59 41 100Has Pets Row

TotalYes No

Has Siblings

Yes

59% 41% 54%

No 59% 41% 46%

Column Total 59% 41% 100%

What can we learn from the data?

We learned that the majority of the people surveyed had siblings.

We learned that you were just as likely to have a pet if you had siblings and if you didn’t have siblings.

We learned that the majority of the people surveyed had a pet.

Has Pets Row TotalYes No

Has Siblings

Yes 59% 41% 54%

No 59% 41% 46%

Column Total 59% 41% 100%