Correlation Coefficient and Best Fit Line

Using your graphing calculator determine the line of best fit and the correlation coefficient of the data in the table.

• y = 4.6x - 347

  r = .942

• y = 4.6x - 347

  r = .888

• y = 4.6x + 347

  r = .942

• y = 4.6x + 347

  r = .888

The table shows the height and shoe sizes of several students. Use the line of best fit to predict a student's height if they wear a size 7 shoe.

• 35 inches

• 59 inches

• 17 inches

• 63 inches

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

• A

• B

• C

• D

Estimate the correlation coefficient for this scatterplot.

• r = 1.2

• r = 0.89

• r = 0

• r = -0.89

The linear regression equation that best represents the line of best fit for the data is y=20.8x-35. Use the equation to predict the number of bacteria in 24 hours.

• 35

• 277

• 464

• 819

A perfect negative correlation has a correlation coefficient of ____. 

• 1

• -1

• 0

Calculate the Pearson's Correlation Coefficient between age and number of hours watching a TV a week (3 significant figures).

Calculate the Pearson's Correlation Coefficient between age and reaction time (3 significant figures).

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

• -1<r<1

• -1>r>1

• -1≤r≤1

• -1≥r≤1

Estimate the correlation coefficient

• r = 1

• r = -1

• r ≈ -0.8

• r ≈ 0.8

• r ≈ -0.5