Line of Best Fit (Linear Regression)

What is the equation formula for linear regression (line of best fit)?

• y₁ ~ bx₁ + m

• x_{1 ~} my₁ + b

• x₁ + b ~ my₁

• y₁ ~ mx₁ + b

What is a "line of best fit" used for?

• To make predictions

• To make the graph look pretty

• To connect the points

• To make it look like you know what you are doing

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 restaurant sells pizza for the prices in the data table. If a pizza has 10 toppings, what would be the price of the pizza?

• $72

• $20

• $27

• $30

Tags

CCSS.HSF.IF.A.2

A restaurant sells pizza for the prices in the data table. If the price of the pizza is $34.50, how many toppings were put on the pizza?

• 14 toppings

• 15 toppings

• 16 toppings

• 17 toppings

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

• y = 0.016x + 0.03

• y = -1.79x + 61.93

• y = 61.93x - 1.79

• y = 0.03x + 0.016

A person travels by car. They record their miles driven in a data table. If a person has been driving for 8 hours, how far have they gone? (Round to nearest whole mile)

• About 484 miles

• About 494 miles

• About 498 miles

• About 500 miles

Tags

CCSS.HSF-LE.A.1B

A person travels by car. They record their miles driven in a data table. If a person has driven 400 miles, how long have they been driving (to the nearest tenth of an hour)?

• About 6.5 hours

• About 7.5 hours

• About 8 hours

• About 8.5 hours

Write the linear regression equation for the following data points. Round to the nearest tenth.

• $y=-0.83x+0.61$

• $y=-0.83x+0.63$

• $y=0.83x+-0.8$

• $a^2+b^2=c^2$

Tags

CCSS.8.EE.C.8C

Using the linear regression equation you found in the previous question, what is the y value, if the x value is 7.5? (Round to nearest tenth).

• y = 5.6

• y = 7.5

• y = -7.6

• y = -5.6