Section 1.8: Two by Two - Scatterplots

Multiple Choice

Your teacher has asked you to explain the difference between quantitative and qualitative data. Which statement is correct?

• Quantitative observations use numbers, qualitative uses the senses.

• Quantitative observations use the senses, qualitative uses numbers.

• Quantitative observations use measurement, qualitative uses numbers.

• Quantitative observations use colors, qualitative uses the senses.

Multiple Choice

The leaves on the plant are turning brown.

What type of data collection?

• Qualitative

• Quantitative

• Both

• Neither

Multiple Choice

The plant has grown 4 cm since yesterday.

What type of data is being collected?

• Qualitative

• Quantitative

• Both

• Neither

Multiple Choice

There are 16 red marbles in the bag.

What type of data can?

• Qualitative
• Quantitative
• Both
• Neither

Multiple Choice

The speed of the car was 45 mph.

• Qualitative
• Quantitative
• Both
• Neither

Multiple Choice

Qualitative or Quantitative:
The butterfly is on a pink flower. 

• Qualitative
• Quantitative

Independent - What you "plug - in" to find an answer for.

Dependent - What the "outcome" is.​

​

The amount of money you make in an hourly job depends on the number of hours you work

​Reminder: Dependent v. Independent Variables

​

Multiple Choice

Given each pair of variables, identify the dependent one.

A. Amount of sleep a swimmer gets the night before a meet

B. How long it takes the swimmer to complete a 200-meter swim.

• Amount of sleep

• Time it takes to complete 200 meter swim

Multiple Choice

Given each pair of variables, identify the independent one.

A. A student's GPA

B. Average amount of time they spend studying

• Student's GPA

• Amount of Time Spent Studying

Multiple Choice

A scatterplot IS a set of points plotted in the coordinate plane, so the x- and the y-axis DO PLAY A ROLE. (Unlike a bar graph.) Which of the following is the INDEPENDENT variable. (The x - values)

• Number of Hours Worked in the Week

• Amount of Money Earned

• Both of these

• Neither of these

Multiple Choice

A scatterplot IS a set of points plotted in the coordinate plane, so the x- and the y-axis DO PLAY A ROLE. (Unlike a bar graph.) Which of the following is the DEPENDENT variable. Remember to ask yourself, what value is the RESULT of the other?

• Number of Hours Worked in the Week

• Amount of Money Earned

• Both of these

• Neither of these

​When we have data that has TWO pieces of data that can be counted or compared, we can express that data in a SCATTERPLOT.

​

When we discuss whether or not two variables in a scatterplot appear to have a relationship, we are talking about the correlation.​ Take a moment so review the correlations described above.

Correlation - View it again!

Multiple Choice

Describe the correlation between number of hours worked in the week and amount of money earned.

If you need to, go back a slide and view it.

• Perfect Positive Correlation

• Strong Positive Correlation

• Strong Negative Correlation

• Perfect Negative Correlation

​When we have data that has TWO pieces of data that can be counted or compared, we can express that data in a SCATTERPLOT.

​

When we discuss whether or not two variables in a scatterplot appear to have a relationship, we are talking about the correlation.​ Take a moment so review the correlations described above.

Correlation

Multiple Choice

Describe the correlation here.

• Perfect Negative Correlation

• Strong Negative Correlation

• Strong Positive Correlation

• Perfect Positive Correlation

Multiple Choice

Sometimes points correlate in a way that is NOT linear. Which of the following do you believe is true about the correlation type?

• Linear

• Quadratic

• Exponential

• No Correlation

Multiple Choice

Which graph best illustrates the description: You save the same amount of money each month in a non-interest bearing account until you reach your goal. Then you leave the account in that balance.

Multiple Choice

Which graph best illustrates the description: Average monthly temperature in a given location.

Multiple Choice

Which graph best illustrates the description: A population of bacteria doubles every hour.

Multiple Choice

How about this one? Describe the correlation.

• Linear correlation

• Quadratic correlation

• Exponential Correlation

• No correlation

Multiple Choice

Sometimes points correlate in a way that is NOT linear. Which of the following do you believe is true about the correlation type?

• Linear

• Quadratic

• Exponential

• No Correlation

Multiple Choice

Which scatterplot suggests a linear association?

Multiple Choice

The scatterplot shows the relationship between the number of tickets bought and the amount of money spent buying tickets.  Which would be a reasonable prediction for the cost of buying 6 tickets?

• $8

• $15

• $12

• $10

Multiple Choice

Testing ourselves: Which statement below best describes what is being shown in the scatterplot at left?

• Shoe size is dependent on height.

• Height is dependent on shoe size.

• There is no relationship between height and shoe size.

• If you are 190 cm tall you will NEVER have a shoe size of 8.

Multiple Choice

Testing ourselves: Which of the following statements is true about the correlation between height and shoe size?

• There is a STRONG positive relationship.

• There is a PERFECT positive relationship.

• There is a STRONG negative relationship.

• There is a PERFECT negative relationship.