Equations and Correlation Coefficient

What is the value of x in the solution to this system of equations?

• 6/5

• -2

• -10/3

• 3

Which statement identifies the correlation coefficient between the two variables and the correct interpretation of the correlation coefficient as a measure of the strength of the linear association?

• r = 0.9591; The correlation coefficient indicates a weak, positive, linear correlation.

• r = 0.9199; The correlation coefficient indicates a strong, negative, linear correlation.

• r = 0.9591; The correlation coefficient indicates a strong, positive, linear correlation.

• r = 0.9199; The correlation coefficient indicates a weak, negative, linear correlation.

Which correlation coefficient best describes the correlation shown?

• 0

• -0.75

• -0.3

• 0.3

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles

• 617.5 miles

• 0.19 miles

• 500 miles

As shown in the table, a person's target heart rate during exercise changes as the person gets older. Find the correlation coefficient (r).

• -0.999

• -0.664

• 0.998

• 1.503

Determine the correlation coefficient of the given data.

• - .5477

• .1770

• .8956

• - .9463

If a linear function has a correlation coefficient of -0.87, the data is

Negative or Positive: ​ (a)  

Strong or Weak: ​ (b)  

• negative

• positive

• strong

• weak

A study compared the number of years of education and a person's annual salary. The correlation coefficient of the data was r = 0.913. Which conclusion can be made using the correlation coefficient?

• There is a strong positive correlation.

• There is a strong negative correlation.

• There is no correlation.

• There is a weak positive correlation.

To convince his students to slow down, Coach Logan tracks the typing speed and the number of errors made from a few of his students. Calculate the correlation coefficient, r, of the data set. Round to THREE decimal places.

Mathematical Equivalence

ON

If a linear function has a correlation coefficient of -0.35, the data is

Negative or Positive: ​ (a)  

Weak or Strong: ​ (b)  

• negative

• weak

• positive

• strong