Line/Curve of Best Fit (A.9)

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.HSA.CED.A.2

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

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.HSA.CED.A.2

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

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

Which equation best represents this data set?
 $\left\{\left(-4,-4.8\right),\left(-3,-8.2\right),\ \left(-2,-9.1\right),\left(-1,-8.1\right),\ \left(0,\ -4.7\right),\ \left(1,\ 0.3\right)\right\}$  

•  $y=1.1x^2+4.2x+4.9$  

•  $y=1.1x^2+4.2x-4.9$  

•  $y=1.1x-4.2$  

•  $y=1.1x+4.2$  

Tags

CCSS.HSA.CED.A.2

Using the equation of the line of best fit, which number is the best prediction of the output when the input is 13?
 $\left\{\left(-5,\ 9\right),\ \left(2,\ 31\right),\ \left(9,\ 143\right),\ \left(11,\ 151\right),\ \left(0,\ 42\right),\ \left(5,\ 97\right)\right\}$  

• 127

• 159

• 170

• 178

Using the quadratic curve of best fit, which equation most closely represents the set of data?
 $\left\{(-8,80.4),(-7,57.8),(-6,38.6),(-5,22.8),(3,18.8),(5,51.8),(7,98.4)\right\}$  

•  $y=x^2+2x-5$  

•  $y=x^2-3x+5.2$  

•  $y=1.7x^2-3x+5$  

•  $y=1.7x^2+2.9x-5.2$  

The table shows the number of months used and the approximate distances driven, in miles, for six buses in a school district.

Using the line of best fit for these data, which value is the best prediction of the distance driven, in miles, by a bus that has been used for 40 months?

• 68,000

• 79,100

• 86,400

• 91,400