Line of best fit

Line of best fit

You are learning on your own, pay attention to each question as it will help build your understanding.

Multiple Choice

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

• There is no line of best fit for this graph.

• B

• C

• D

Multiple Choice

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

• A

• B

• C

• D

Multiple Choice

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

• A

• B

• C

• D

Multiple Choice

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

• A

• B

• C

• D

Multiple Choice

Select the statement that best describes the line.

• The line is the line of best fit.

• The line is NOT a line of best fit because it does not pass through two points.

• The line is NOT a line of best fit because it does not go through the middle of the data set.

• The line is NOT a line of best fit because it does not go through the origin.

Multiple Choice

What type of association (correlation) does this graph have?

• positive

• negative

• none

• all of the above

Multiple Choice

What kind of correlation?

• Positive
• Negative
• No

Multiple Choice

What kind of correlation?

• Positive
• Negative
• No

Multiple Choice

What kind of correlation?

• Positive
• Negative
• No

Multiple Choice

What kind of correlation?

• Positive
• Negative
• No

Multiple Choice

What kind of correlation?

• Positive
• Negative
• No

Multiple Choice

The red line represents the line of best fit for the scatter plot. How many ice cream sales are expected if the temperature is 90°?

• 55

• 0

• 103

• 100

Multiple Choice

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 pages would be in a book with 19 chapters.

• 150 pages

• 170 pages

• 190 pages

• 210 pages

Review some old skills (From last week)

Take a few minutes and think about skills we tested over on Friday.

Multiple Choice

Write the equation for the line.

• y = -1x + 3

• y = 4x + 3

• y = 1/4x + 3

• y = -4x + 3

Multiple Choice

Find the slope of the line.

• 1/4
• -1/4
• -4/1
• 4/1

Multiple Choice

Find the slope of the line.

 $\frac{Rise}{Run}$  

• 1/2

• -1/2

• 2/1

• -2/1

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3
• y=2/3-3
• y=2/3x-3
• y=2/3x+3

Multiple Choice

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

• -4

• -4x

• 5

• -5

Multiple Choice

What is the slope in the equation: y=4x+3

• 3

• 4x

• 4

• x

Multiple Choice

Which line is the best line of best fit?

• a

• b

• c

• i don't see any lines

Yesterday we started on systems of equations

• Answer some questions about those skills

Multiple Choice

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Multiple Choice

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (2, -5)

• (5, -2)

• (-5, -2)

• (-2, 5)

• (-2, -5)

Multiple Choice

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Multiple Choice

Which system has no solutions?

Multiple Choice

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

Multiple Choice

Which system of linear equations represents the graph shown?

• y=3x+1 and y=x+3

• y=-x-3 and y=x-1

• y=1/3x-1 and y=x-3

• y=x-1 and y=3x-3

Multiple Choice

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)

Multiple Choice

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

Multiple Choice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Multiple Choice

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

Fill in the Blanks

Combine your skills

Now you will take the skills you did last chapter and the skills from earlier today. Draw a line of best fit, and then identify the equation that would be able to model that data.

Multiple Choice

What is the equation of the line of best fit?

• y= 2x+3

• y=3x+2

• y= $\frac{1}{2}x\ +3$

• y= $-\frac{1}{2}x\ +3$

Multiple Choice

What is the equation of the line of best fit

• y= -2x + 10

• y= 10x+ 2

• y=2x+10

• y= 10

Multiple Choice

What is the equation of the line of best fit?

• y= $-\frac{1}{2}x\ +\ 6$

• y= $\frac{1}{2}x\ +6$

• y= 6x + 2

• y = -2x +6

Multiple Choice

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

Multiple Choice

Is this line an accurate line estimate of best fit for the data?

• Yes

• No

Multiple Choice

What type of association does this graph show?

• Positive

• negative

• none

Homework

After you have completed this lesson, please go grab a WS to practice these skills.