Coefficient Correlation

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 for this scatterplot.

• r = -0.9

• r = 1

• r = 0.9

• r = -1

Estimate the correlation coefficient

• r = 1

• r = -1

• r ≈ -0.8

• r ≈ 0.8

• r ≈ -0.5

What type of association does this graph have?

• positive

• negative

• none

• all of the above

The correlation coefficient of this graph is closest to:

• 0.97

• 0.75

• -0.98

• 0.48

• There is a perfect positive relationship.

• There is a perfect negative relationship.

• There is no linear relationship.

• The variables are inversely proportional.

The correlation coefficient of the regression line is 0.986. What does that mean?

• There is a very strong, positive correlation between the variables.

• There is a very strong, negative correlation between the variables.

• There is a weak, negative correlation between the variables.

• As fork length increases, so does total length.

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

Given that the scatter diagram has a product moment correlation coefficient of 0.9, what can you conclude?

• There is a weak negative linear correlation between x and y

• There is a strong negative linear correlation between x and y

• There is a strong positive linear correlation between x and y

• There is a weak positive linear correlation between x and y

Determine the correlation coefficient of the given data.

• - .5477

• .1770

• .8956

• - .9463