Line of Best Fit and Correlation Coefficient

Describe the relationship between the variables.

• Weak negative correlation

• Moderate negative correlation

• Moderate positive correlation

• Strong negative correlation

Which with is the line of best fit?

• Black

• Orange

• Red

• Blue

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

• The more books students read, the lower their English grade.

• The more books students read, the higher their English grade.

• The fewer books students read, the higher their English grade.

• No relationship exists between the number of books students read and their English grades.

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

As x increases, y increases

• correlation coefficient

• causation

• positive correlation

• negative correlation

The correlation coefficient is a number "r" such that: 

• -1<r<1

• -1>r>1

• -1≤r≤1

• -1≥r≤1

r=-0.89

• Strong positive 

• Weak positive 

• Strong negative 

• Weak negative 

Estimate the correlation coefficient

• r=-1

• r=1

• r=-0.5

• r=0.5

Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.

• -0.19 weak

• -0.19 moderate

• 0.04 weak

• 0.04 strong

Find the equation of the line of best fit for this table.

• y = -0.18x + 6.47

• y = 6.47x - 0.18

• y = 0.04x - 0.19

• y = -0.18x - 0.19