Understanding Scatter Plots

What is the correlation of the two set of data shown?

• Positive Correlation

• Negative Correlation

• No Correlation

Answer explanation

The data sets show a negative correlation, meaning as one set increases, the other set decreases. This inverse relationship indicates that the two variables move in opposite directions.

Is this line an accurate line estimate of best fit for the data?

• Yes

• No

Answer explanation

Yes, the line is an accurate estimate of best fit as it closely represents the trend of the data points, minimizing the distance between the line and the points.

Make a prediction for a resting heart rate after 6 hours of exercise a week.

• 6

• 50

• 55

• 59

Answer explanation

A resting heart rate of 55 bpm is a reasonable prediction after 6 hours of exercise a week, as regular exercise typically leads to improved cardiovascular fitness and a lower resting heart rate.

Which of the following lines represents the line of best fit for the scatter plot?

• A

• B

• C

• D

Answer explanation

Line B best represents the line of best fit as it closely follows the trend of the data points in the scatter plot, minimizing the distance from the points to the line compared to the other options.

Ms. Ochoa recorded the age and shoe size of each student in her physical education class.  This graph shows her data.  Which of the following statements about the graph is true?

• The graph shows a positive trend.

• The graph shows a negative trend.

• The graph shows a constant trend.

• The graph shows no trend.

Answer explanation

The graph shows no trend because the relationship between age and shoe size does not consistently increase or decrease. The data points are scattered without a clear pattern, indicating a lack of correlation.

What is a scatter plot used for?

• To display the relationship between two variables

• To show the distribution of a single variable

• To compare parts of a whole

• To display data over time

Answer explanation

A scatter plot is specifically designed to display the relationship between two variables by plotting data points on a Cartesian plane, making it easy to identify correlations or trends.

In a scatter plot, what do the points represent?

• Categories

• Data values

• Time intervals

• Equations

Answer explanation

In a scatter plot, each point represents data values corresponding to two variables. This visualization helps to identify relationships or trends between those variables, making 'data values' the correct choice.

If a scatter plot shows a pattern that goes from the bottom left to the top right, what type of correlation does it indicate?

• No correlation

• Negative correlation

• Positive correlation

• Zero correlation

Answer explanation

A scatter plot that shows a pattern from the bottom left to the top right indicates a positive correlation, meaning as one variable increases, the other variable also tends to increase.

What does it mean if the points on a scatter plot are very close to forming a straight line?

• There is a weak correlation

• There is a strong correlation

• There is no correlation

• The data is random

Answer explanation

If the points on a scatter plot are very close to forming a straight line, it indicates a strong correlation between the variables. This means that as one variable changes, the other variable tends to change in a predictable way.

Which of the following is NOT a possible pattern in a scatter plot?

• Linear

• Circular

• Curved

• Random

Answer explanation

A circular pattern is not typically represented in scatter plots, which usually show relationships like linear, curved, or random distributions. Therefore, 'Circular' is the correct answer as it does not represent a common scatter plot pattern.