Finding Linear Regression Equation

A department store has several retail outlets across the state. Each store has a different number of employees, and consequently produces varying amounts of annual sales.

Which equation is the regression equation for this situation?

• y = 20x

• y = 21x

• y = 21.4x - 10.1

• y = 21.4x - 11.3

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.F.B.4

CCSS.8.SP.A.3

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.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

What is the y-intercept in the following equation: y= -5 - 4x?

• -4

• -4x

• 5

• -5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

What is the slope in the following equation: y= 6 - 2/3x?

• 2/3

• 6

• -6

• -2/3

Tags

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

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

Tags

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.2

CCSS.8.SP.A.3

The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.

• y = 839.721x + 27541.812
• y = 27541.812x - 839.721
• y = 27541.812x + 839.721
• y = 839.721x - 27541.812

Tags

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.2

CCSS.8.SP.A.3

Find the equation of the line of best fit for the given data

• y = 4.19 + 163.41x
• y = 4.19 - 163.41x
• y =163.41 - 4.19x
• y = -163.41+ 4.19x
  

Tags

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.2

CCSS.8.SP.A.3

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

Given the set of data, which ordered pair is the outlier?

• (12, 47)

• (8, 20)

• (25, 50)

• (41, 61)