Linear Equations and Linear Regression

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

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

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

• -4

• -4x

• 5

• -5

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

• 2/3

• 6

• -6

• -2/3

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

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

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
  

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

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

• (12, 47)

• (8, 20)

• (25, 50)

• (41, 61)