Lesson 10 and 11 - Linear Modeling and Line of Best Fit

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

• f(x) = 25.05x + 5.57
• f(x) = 5.57x + 25.05
• f(x) = -5.57x + 25.05
• f(x) = 5.57x - 25.05

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

The table shows the height of a tree for various years after it was planted. Using the line of best fit, how tall would the tree be 30 years after it was planted?

• 22 feet

• 23 feet

• 36 feet

• 37 feet

Tags

CCSS.HSF.LE.B.5

Caroline weighs her new puppy every month to see how much it has grown. If age is a and weight is W, which of these is the correct equation for the line of best fit?

• W = 3.6 + 8.9

• W = 3.6a + 8.9

• a = 8.9W + 3.6

• W = 8.9a + 3.6

Tags

CCSS.HSS.ID.B.6

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

find line of best fit through these points

(1,3) (2,4) (5,8)

• y=1.27x+1.615

• y=2x+7

• y=1.7x+8

Tags

CCSS.HSS.ID.B.6

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

What type of correlation does this graph show?

• A) Positive

• B) negative

• C) none

• D) all of the above

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

What type of correlation does this graph have?

• Positive correlation

• Negative correlation

• No correlation

• Constant correlation

Tags

CCSS.HSF-LE.A.1B

What type of correlation does this scatter plot show?

• Positive correlation

• Negative correlation

• No correlation

• Constant correlation

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Estimate the correlation coefficient

• r = 1

• r = -1

• r ≈ -0.8

• r ≈ 0.8

• r ≈ -0.5

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Estimate the correlation coefficient for this scatterplot.

• A) r = 1.2

• B) r = 0.89

• C)r = 0

• D) r = -0.89

• E) r = 0.3

What does the slope mean in this situation?

• 2 gallons of water leaves per minute
• 1 gallons of water leaves per minute
• 2 gallons of water leaves every 2 minutes
• 2 gallons of water comes into the tank per minute

Tags

CCSS.HSF.LE.B.5