11.4 Lines and Curves 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

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CCSS.HSS.ID.B.6

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find line of best fit using calculator through these points (0,0)(1,2) (3,5) (6,7)

• y=65x+7

• y=1.14x+.64

• y=1.5x+64

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CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

CCSS.HSS.ID.B.6

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

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CCSS.HSA.CED.A.2

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CCSS.HSS.ID.B.6

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

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Using the curve of best fit, what would be the output (y) when the input (x) is 7?

• 260

• 240

• 140

• 320

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CCSS.HSA.CED.A.2

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When using Desmos to find the curve of best fit, what do I need to enter first?

• y₁ ~ ax₁² +bx₁ + c

• the equation

• the table/chart of values

• the vertex

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When finding the curve of best fit in Desmos, what do I do after I entered my table of coordinates?

• plot the points

• y₁ ~ ax₁ +b

• y₁ ~ ax₁² +bx₁ + c

• do a little dance

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Given the following scatter plot, which equation best models the data?

(Hint: in this specific case, you don't really need Desmos)

• y = -8.25x + 56

• y = -8.25x² + 56x

• y = 8.25x² + 56x

• y = -8.25x³ + 56x

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CCSS.HSA.CED.A.2

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If this is an equation for a curve of best fit, find the output (y) when the input (x) is 13:

y = 1.2x² - 3.7x - 19

• -51.5

• 135.7

• 154.7

• 183,8

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CCSS.HSA.REI.B.4

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Calculate the Curve of Best Fit for this table of values:

• y = 2x² - 9x + 10

• y = 3x² + 9x - 10

• y = 3.1x² - 9.2x - 10.3

• y = 2.1x² - 8.6x + 10.1

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.C.7