Linear Equations and Equation of Linear Regression

What does "b" represent in y=a + bx?

• y-intercept

• slope

• macaroni

• nothing

Tags

CCSS.8.EE.B.6

CCSS.8.F.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) = 5.57 + 25.05x

• f(x) = 25.05 + 5.57x

• f(x) = 25.05 - 5.57x

• f(x) = - 25.05 + 5.57x

Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won.  The graph shows the results of the data.  Based on the linear regression equation y = 3.52 + 3.14x, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?  

• about 24

• about 12

• about 8

• about 18

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

• 64

• 74

• 72

• 95

Tags

CCSS.HSF-BF.B.4A

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

• 2/3

• 6

• -6

• -2/3

Tags

CCSS.8.EE.B.5

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

Tags

CCSS.HSF.IF.B.4

What is the line of best fit? (Ignore the x = 30, y = ? point.)

• f(x) = 1.82 + 5x

• cannot be determined

• f(x) = 5.02 + 1.82x

• f(x) = 4.2 + 1.1x

Tags

CCSS.8.EE.B.5

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
  

What is least-squares line 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

Tags

CCSS.8.EE.B.5