Linear Regressions and Scatterplots

Which scatter plot shows a negative relationship?

• Graph A

• Graph B

• Graph C

• Graph D

The linear regression equation for the data is  y = 1.5x + 12.  Interpret the slope of the equation.

• The slope is (0, 1.5).  It means that a pizza with 0 toppings will cost $1.50.

• The slope is 1.5.  It means that it costs $1.50 per topping.

• There are 1.5 toppings.

• There are 1.5 pizzas.

The linear regression equation is y = 61.93x - 1.79.  Identify the slope of the equation.

• Slope = 61.93

• Slope = -1.79

• Slope = (0, -1.79)

• Slope = (0, 61.93)

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 trend for this scatter plot

• Negative

• Positive

• None

Use the trend in the data to determine the correlation coefficient. 

• r = 0.93

• r = -0.93

• r = 0.57

• r = -0.57

Which of the following could be a possible line of best fit for the data?

• y = -5/2x + 20

• y = -x + 19

• y = x + 20

• y = 2/3x + 15 

Which of the following could be a possible line of best fit for the data?

• y = 3x + 0

• y = 5/6x + 490

• y = -2x + 470

• non linear

What is the correlation between length of running start and distance of jump?

• positive:  the further you run the further you jump

• negative: the less you run the less distance of your jump

• positive: the further your running start the less your distance

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

• The more books students read, the lower their English grade.

• The more books students read, the higher their English grade.

• The fewer books students read, the higher their English grade. 

• No relationship exists between the number of books students read and their English grades.