Residuals & Causation

Mr. Romario receives his monthly salary by direct deposit into his checking account. The scatterplot below displays his balance, y, after x days of making the deposit. Using your calculator to fit a linear model that most closely represents this data, what is the slope and what is the meaning of the slope?

• Mr. Romario had $2,000 in his account at the beginning of the month

• Mr. Romario spends about $80 per day

• Mr. Romario deposited $2,000 per day

• Mr. Romario earns $80 per day

Tags

CCSS.HSF.LE.B.5

The table below shows the number of apples an orchard harvested in different years. What is the meaning of the y-intercept of the line of best fit for the data?

• There were 2015 thousand apples harvested in 1985

• There were 875 thousand apples harvested in 1985

• There were 400 thousand apples harvested in 1985

• There were 95 thousand apples harvested in 1985

Tags

CCSS.HSF.LE.B.5

The table below shows the number of calories burned per hour by a person running at different speeds. Using a line of best fit, what does the slope represent?

• The speed when you burn 0 calories

• The speed per calorie burned

• How many calories are burned by not running

• How many calories are burned per mph

Tags

CCSS.8.EE.B.5

Which of these correlations represent causation?

• As the number of high schools increases, the number of enrolled students goes up.

• As the number of weddings increases, the number of marriage licenses increases.

• As the number of gym memberships increases, the number of people who lose weight increases.

• As the number of visitors to theme parks increases, the number of hamburgers sold at theme park concession stands increases.

Tags

CCSS.HSF-LE.A.1B

Which of these scenarios does not imply causation?

• the more the rooster crows, the more often it rains

• the more miles driven, the more gasoline needed

• the faster the pace of the runner, the more quickly the runner finishes

• the higher the hourly wage, the greater the income for 40 hours of work

Tags

CCSS.HSS.ID.C.9

 A scatter plot for Deanna’s race times and weeks training are displayed below. In what week was Deanna’s time closest to her time predicted by the line of best fit for the data?

• 5

• 8

• 12

• 16

Tags

CCSS.HSS.ID.B.6

The height of a plant is measured each week after the first sprout shows above the soil. A botanist tries to predict the height of the plant in the upcoming weeks using the observed data in the table below. Which week has the smallest residual value?

• 1

• 3

• 4

• 6

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.1

CCSS.8.SP.A.2

CCSS.8.SP.A.3

What is the residual value for 2004?

• -222

• 400.5

• -135

• -43.5

Tags

CCSS.HSA.SSE.A.1

The table below shows the number of chickens on a farm in different years. What is the residual value for the year 2007?

• 0.8

• 0.5

• -0.2

• -0.3

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

What type of correlation exists between the amount of time a candle is burned and the height of the candle.

• Positive

• Negative

• None

Tags

CCSS.HSF-LE.A.1B