Lines of Best, Correlation Coefficients and Residuals

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

• 0.9023

• 0.9499

• 3.20693

• 28.0081

Given this regression line information in Desmos, what is the equation of the regression line?

• y = 0.9499x

• y = 3.2x + 28

• y = 0.95x + 0.90

• y = 28x + 3.2

The regression line equation for this date is y = 1.4x + 47. What does the y-intercept represent in this scenario?

• Students studied an average of 47 minutes

• Students scored an average of 47 points when they studied

• Students earned 1.4 more points when studying

• Students who studied 0 minutes, earned an average of 47 points.

A positive correlation between two variables means...

• that as one variable increases, the other variable also increases

• that as one variable increases, the other variable decreases

• that as one variable decreases, the other variable increases

• the two variables are happy

• y = 1.45x + 22
• y = -2x + 15
• y = 1.33x + 30
• y = -1.5x + 24

What is the equation of the line of best fit?

• y= 6x + 2

• y = -2x +6

Given the following Scatter Plot, select the option that is most likely the r value.

Determine the correlation coefficient of the given data:

• .9820

• -.9643

• 1.409

• .6864

Which colored line shows the line of best fit for the scatter plot?

• Black

• Orange

• Red

• Blue

What is the line of best fit? (Ignore the x = 30, y = ? point.)

• f(x) = 1.82 + 5x

• cannot be determined

• f(x) = 5.02 + 1.82x

• f(x) = 4.2 + 1.1x