A2.9 - Regression Review

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

• y = 1.5x + 12
• y = 12x + 1.5
• y = 0.67x - 8
• y = -8x + 0.67

Tags

CCSS.8.EE.C.8C

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79
• y = -1.79x + 61.93
• y = 0.016x + 0.03
• y = 0.03x + 0.016

Tags

CCSS.HSF-LE.A.1B

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

• 2029

• 2014

• 2003

• 8753

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

• 974

• 25,101

• 940

• 952

Tags

CCSS.HSF.LE.B.5

Find the equation of the Line of Best Fit from the data set. 

• y = 0.892x - 1.82
• y = 1.82x - 5.02
• y = 0.796x + 5.02
• y = 1.82x + 5.02

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

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

Based on the table, which function can best be used to model this situation?

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

Find the best fitting quadratic model for the data given.

• 1.2x² + 13x + 504.3
• 12x² + 13x + 504.3
• .12x² + 1.3x + 504.3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

• $f\left(x\right)=58.8x^2-4.9x+19.6$

• $f\left(x\right)=-19.6x^2-4.9x+58.8$

• $f\left(x\right)=2.9x-8$

• 
  

  $f\left(x\right)=-4.9x^2+19.6x+58.8$
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

• $f\left(x\right)=\left(1000\right)\left(0.7\right)^x$

• $f\left(x\right)=6\left(0.3\right)^x$

• $f\left(x\right)=1\left(0.7\right)^x$

• $f\left(x\right)=1000x+0.7$

Tags

CCSS.HSF.LE.A.2