Linear Correlation

Question 1

When two quantities are strongly linked together, they have what type of correlation?

Answer 1

high correlation

Question 2

How do we know if two quantities are strongly linked together?

Answer 2

if the data points in the scatter plot are either on the line of best fit or close to the best fit line

Question 3

What is the degree of correlation quantified by?

Answer 3

the correlation coefficient (r)

Question 4

What is the value range for the correlation coefficient (r)?

Answer 4

-1 ≤ r ≤ 1

Question 5

What type of relationship is there if r > 0?

Answer 5

a positive (increasing) relationship

Question 6

What type of relationship is there if r < 0?

Answer 6

a negative (decreasing) relationship

Question 7

The closer the value is to 0…

Answer 7

the more scattered the data is

Question 8

The closer the value is to 1 or -1…

Answer 8

the less scattered the data is

Question 9

What is the value of r is the data points don’t show any trend?

Answer 9

r = 0