Association, Causation, & Correlation Coefficient

What type of association does this graph have?

• Strong Positive

• Weak Negative

• Weak Positive

• Strong Negative

Answer explanation

HINT:

Positive Correlation: Line goes up

Negative Correlation: Line goes down

No Correlation: Can't see a line

Tags

CCSS.HSS.ID.B.5

What type of association does this scatter plot represent?

• Positive Linear Association

• Negative Linear Association

• No Association

Answer explanation

HINT:

Positive Correlation: Line goes up

Negative Correlation: Line goes down

No Correlation: Can't see a line

Tags

CCSS.HSS.ID.B.5

Estimate the correlation coefficient

• r = 1

• r = -1

• r ≈ -0.8

• r ≈ 0.8

• r ≈ -0.5

Answer explanation

HINT:

Positive Correlation: Line goes up

Negative Correlation: Line goes down

The closer to zero you are, the weaker your line is.

Tags

CCSS.HSS.ID.C.8

Which scatter plot diagram shows the strongest positive correlation?

• 
• 
• 
• 

Answer explanation

HINT:

Positive Correlation: Line goes up

Negative Correlation: Line goes down

The closer to zero you are, the weaker your line is.

Tags

CCSS.HSS.ID.B.5

Billy is in the store comparing bags of candy.

A bag that contains only 1 candy is $3. A bag that contains 2 candies is $5. A bag that contains 3 candies is $8. Lastly, a bag that contains 5 candies is $17.

Decide what the correlation coefficient of the following situation is.

• r = 0.99

  Strong Negative

• r = -0.98

  Strong Negative

• r = 0.99

  Strong Positive

• r = -0.98

  Strong Positive

Answer explanation

HINT: The amount of candy is your X. The cost in dollars is your Y.

Create a table to use stat edit (4:LinReg). Make sure your diagnostics is on!

Tags

CCSS.HSS.ID.C.8

Determine the Correlation Coefficient (r) of the situation.

Round to the hundredths place (two decimal places)

(a)  

Answer explanation

HINT: Use stat edit (4:LinReg). Make sure your diagnostics are on!

Tags

CCSS.HSS.ID.C.8

Causation or Association:

The hotter the temperature of the oven, the less time needed to cook a turkey.

• Causation

• Association

Answer explanation

HINT: Causation is where one event is the result of the occurrence of the other event.

Tags

CCSS.HSS.ID.C.9

Which pair best represents a causation relationship?

• Number of forward steps and Distance traveled

• Length of time in a store and Amount of money spent

Answer explanation

HINT:

Causation: One event causes another event to happen.

Tags

CCSS.HSS.ID.C.9

Which of the following examples is not causation?

• When the student population at school increases, the number of teachers at school increases.

• When the amount of sugar in apple juice decreases, there are fewer calories in each serving.

• When there are more workers on a project, the project takes less time to complete.

• When there is more protein in an athlete's diet, the athlete scores more points in a game.

Answer explanation

HINT:

Causation: One event causes another event to happen.

Tags

CCSS.HSS.ID.C.9

When the temperature outside decreases, the layers you wear increases.

• Causation

• Association

• Neither

Answer explanation

HINT:

Causation: One event causes another event to happen.

Association: A relationship between two events exist. Does not mean causation.

Tags

CCSS.HSS.ID.C.9