Scatterplot Correlation Coefficients and Line of Best Fit

Which graph represents data that has a correlation coefficient close to -1?

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Which value is the closest to the correlation coefficient for the data?

• -0.07

• -0.73

• 0.07

• .73

Which scatter plot diagram shows the strongest positive correlation?

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The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

• A) As the number of coffee shops increase, violent crimes appears to increase.

• B) The line of best fit (regression line) shows a positive correlation

• C) The data has a positive correlation coefficient

• D) An increase in coffee shops causes an increase in violent crimes

Rank these scatter plots according to the intensity of the correlation represented, from weakest to strongest.

• 1, 2, 3, 4

• 2, 4, 3, 1

• 4, 3, 2, 1

• 1, 3, 4, 2

If every brother is exactly two inches taller than his sister, what would the correlation between the heights of brothers and sisters be?

• Nearly 1

• 0

• Somewhat positive

• 1

Given this regression information in Desmos, what is the correlation coefficient?

• 0.9023

• 0.9499

• 3.20693

• 28.0081

Given this regression information in desmos, you can describe the correlation as ...

• strong positive

• weak positive

• strong negative

• weak negative

Determine the real-world meaning of the slope of this line of best fit.

• on average 697 people attended each football game

• 25 fewer people attended each football game

• 25 games per season

• attendance increased by 25 people each game

Estimate the correlation coefficient for this scatterplot.

• r = 1.2

• r = 0.89

• r = 0

• r = -0.89