Practice: Curve of Best Fit

Look at the data in this table.

Which equation most closely represents the line of best fit for this data?

• $y=1.77x+0.13$

• $y=0.56x-0.05$

• $y=0.5x$

• $y=2x$

Tags

CCSS.8.EE.B.5

The number of complaints a company received at the end of each of six weeks is shown in this table.

Based on the line of best fit, how many complaints should the company expect at the end of week 8?

• 75

• 91

• 96

• 110

Tags

CCSS.HSF.BF.A.2

A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data is shown.

Based on a quadratic model, which best approximates the height at 3 seconds?

• 52 feet

• 55 feet

• 65 feet

• 80 feet

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10
• f(x)=
   3x² + 9x - 10
• f(x) =
   3.1x² - 9.2x - 10.3
• f(x) =
  2.1x² - 8.6x + 10.1

Tags

CCSS.8.F.A.1

CCSS.8.F.A.2

The table shows the average braking distance of a car at various speeds.  Use a quadratic model to predict the breaking distance at 70mph.  

• 245 ft
• 225 ft
• 285 ft
• 265 ft

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

What is the value of y when x = 7?

• 6250

• 145

• 32768

• 10,755

Tags

CCSS.HSF-IF.C.8B

What is the closest to the value of y, when x = 6

• 0.056

• 0.047

• 0.45

• 0.468

Tags

CCSS.HSF.LE.A.2

What is the equation for the table?

• y = 1(2)^x
• y = 2(1)^x
• y = 2(3)^x
• y = 3(2)^x

Tags

CCSS.HSF.LE.A.2

Use the exponential regression to find an equation that fits the​ data, where x is the years since 1990.

• y=8.92•1.23^x
• y=1.23•8.92^x
• y=8.92+1.23x
• y=8.92x+1.23

Tags

CCSS.HSF.LE.A.2

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X
• Y = 81.6(2.7)^X
• Y = 8.16(.27)^X
• Y = 8.16(27)^X

Tags

CCSS.HSF.LE.A.2