Line of Best Fit and Linear Regression

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.

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

• y=163.41x + 4.19

• y=-163.41x + 4.19

• y=-4.19x + 163.41

• y= 4.19x - 163.41
  

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 

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

• y = 1.45x + 22
• y = -2x + 15
• y = 1.33x + 30
• y = -1.5x + 24

Which of the following lines represents the line of best fit for the scatter plot?

• A

• B

• C

• D

In the scatter plot, does the image shows a "Line of Best Fit"?

• Yes

• No

What is the equation of the line of best fit?

• y= 6x + 2

• y = -2x +6

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. 

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters