Regression and Solving

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

• 5,000
• 2,620
• 17,000
• 20,200

Tags

CCSS.HSF-LE.A.1B

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 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

The table below gives the number of hours spent studying for a math exam (x) and the exam grade (y). Using a line of best fit, predict the exam grade of a student who studied 5 hours.

• 100

• 93

• 96

• 87

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

6(6v +6) - 5 = 1 + 6v

• 1
• -1
• no solution
• all real numbers

Tags

CCSS.8.EE.C.7A

Solve for x.

• 55
• 60
• 15
• 35

Tags

CCSS.7.EE.B.4A

Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4
• x ≥ -5 or x < 4
• x > -5 and x ≤ 4
• x ≥ -5 and x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve: 
3x + 2 < -7  or  -4x + 5 < 1

• x < -3  and  x < 1
• x < -3  and  x > 1
• x < -3  or  x < 1
• x < -3  or  x > 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

−6 < 2t − 5 < 3

• −0.5 < t < 1

• 0.5 < t < −1

• −11/2 < t < 2

• 11/2 < t < −2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3