AP Stats Section 3.1 Scatter plots and Correlation

What does bivariate mean?

• 1 variable

• 2 variables

• 3 variables

• 4 variables

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CCSS.6.SP.B.5B

Scatter plots can help determine if one variable has an effect on the other, or if there are overall trends, patterns, or ​ (a)   between the variables.

• associations
• bivariate
• numerical

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CCSS.HSS.ID.B.5

Jules conducted a survey and asked 100 people how many years of education they have and what their annual income is. She used the results to make a scatter plot.

What type of association should she expect to see in the scatter plot?

• Positive Association

• Negative Association

• No Association

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CCSS.HSS.ID.B.5

Label the type of association:

• Positive

• None

• Negative

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CCSS.HSS.ID.B.5

Label they type of association:

• Positive

• Negative

• None

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CCSS.HSS.ID.B.5

The correlation coefficient r is a value between

• 0 and 1
• 0 and 100
• -1 and 1
• -2 and 2

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CCSS.HSS.ID.C.8

A strong correlation is

• a value close to 1.
• a value close to -1
• a value close to 0.
• a value close to -1 or 1.

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CCSS.HSS.ID.B.5

A sociologist is studying the relationship between early childhood nutrition and academic achievement in middle school among children in a certain city. Which of the following statements about the variable “early childhood nutrition” is correct?

• Early childhood nutrition is a response variable.
• Early childhood nutrition is an explanatory variable.
• Since there is not a clear explanatory-response relationship in this scenario, we cannot classify early childhood nutrition as either explanatory or response.

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CCSS.HSS.ID.C.9

One of the following is a correct statement involving correlation. The other three contain blunders. Which one is correct? 

• The correlation between the gas mileage of a car and its weight is r = -0.71 gallon-pounds.
• The correlation between GPA and hours of sleep per night is r = 1.06.
• There is a correlation of r = 0.54 between the position a football player plays and his or her weight.
• The correlation between amount of fertilizer and pounds of tomatoes harvested was found to be r = 0.33.

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CCSS.HSS.ID.C.9

With practice, people become faster at solving a certain type of mathematical puzzle. Fourteen college students were allowed to practice completing a certain type of mathematical puzzle for different amounts of time. Afterwards, each student’s completion time on a new puzzle was measured. The Residual plot for regression of Completion Time on Practice Time is shown below. Which of the following is correct?

• There is a no relationship between Practice Time and Puzzle Completion Time.

• This regression equation would likely overestimate the Puzzle Completion Time for 175 minutes of practice time.

• There is a non-linear relationship between Practice Time and Puzzle Completion Time.

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CCSS.HSS.ID.B.6B