Scatter plots and Correlation

What type of association does this graph have?

• positive 

• negative

• none

• all of the above

Answer explanation

The graph shows a negative association, meaning that as one variable increases, the other decreases. This is indicated by a downward trend in the data points, confirming the correct choice is 'negative'.

Tags

CCSS.HSS.ID.B.6

What type of association does this graph have?

• positive

• negative

• none

• all of the above

Answer explanation

The graph shows a positive association, meaning that as one variable increases, the other variable also tends to increase. This is why 'positive' is the correct answer.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

What type of correlation (association)?
The outside temperature and the amount of layers you wear. 

• Positive correlation

• Negative correlation

• No correlation

• All of the above

Answer explanation

As the outside temperature increases, the amount of layers you wear typically decreases. This indicates a negative correlation, meaning that one variable goes down as the other goes up.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

The number of siblings you have and your weight. 

• Positive correlation

• Negative correlation

• No correlation

• All of the above

Answer explanation

The number of siblings and weight are unrelated factors. Having more siblings does not inherently affect a person's weight, leading to no correlation between these two variables.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

r=-0.89

• Strong positive 

• Weak positive 

• Strong negative 

• Weak negative 

Answer explanation

The correlation coefficient r=-0.89 indicates a strong negative relationship between the variables. Values close to -1 signify a strong negative correlation, meaning as one variable increases, the other tends to decrease.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

If the correlation coefficient of a table of data is 0.85, what is true about the line of best fit?

• There is a weak, positive relationship

• There is a strong, positive relationship

• There is a weak, negative relationship

• There is a strong, negative relationship

Answer explanation

A correlation coefficient of 0.85 indicates a strong, positive relationship between the variables. This means as one variable increases, the other tends to also increase significantly.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

• strong positive

• strong negative

• weak positive

• weak negative

Answer explanation

The correlation coefficient r=-0.86 indicates a strong negative relationship between car weight and distance traveled. As car weight increases, the distance traveled on a full tank of gas tends to decrease significantly.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

Estimate the correlation coefficient for this scatterplot.

• A) r = -0.9

• B) r = 1

• C) r = 0.9

• D) r = -1

Answer explanation

The scatterplot shows a strong negative linear relationship, indicating that as one variable increases, the other decreases. The correlation coefficient closest to this description is A) r = -0.9.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

A perfect negative correlation has a correlation coefficient of ____. 

• 1

• -1

• 0

Answer explanation

A perfect negative correlation indicates that as one variable increases, the other decreases in a perfectly linear manner. This is represented by a correlation coefficient of -1, making -1 the correct answer.

A perfect positive correlation has a correlation coefficient of ____. 

• 1

• -1

• 0

Answer explanation

A perfect positive correlation indicates that as one variable increases, the other also increases perfectly. This is represented by a correlation coefficient of 1, making it the correct answer.