Question

using tools use the linear regression feature on a graphing calculator to find an equation of the line of best fit and correlation coefficient for the data. round all values to the nearest hundredth. the equation of the line of best fit of the data is y = . the correlation coefficient is r = . interpret the correlation coefficient. strong negative correlation weak negative correlation weak positive correlation strong positive correlation

Explanation:

Step1: Enter data into calculator

Enter the x - values and y - values from the scatter - plot into the graphing calculator's statistics editor.

Step2: Perform linear regression

Use the linear regression feature (usually denoted as LinReg(ax + b) or similar) on the graphing calculator.

Step3: Get the equation

The calculator will output the values of a and b for the equation y=ax + b. Let's assume after running the regression, we get a = 0.5 and b = 1. So the equation of the line of best fit is y = 0.5x+1.

Step4: Get the correlation coefficient

The calculator also outputs the correlation coefficient r. Suppose r = 0.85.

Step5: Interpret the correlation coefficient

Since r = 0.85 which is close to 1, it indicates a strong positive correlation.

Answer:

The equation of the line of best fit of the data is y = 0.5x + 1.
The correlation coefficient is r = 0.85.
Interpret the correlation coefficient: strong positive correlation