Line of Best Fit and Linear

​Line of Best Fit Lesson

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Multiple Choice

What is a scatter plot? #1

• A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data points.

• A scatter plot is a type of plot that displays values for only one variable.

• A scatter plot is a type of plot that uses polar coordinates instead of Cartesian coordinates.

• A scatter plot is a type of plot that is used to display categorical data.

Multiple Choice

What is the purpose of a scatter plot? #2

• To display the trend of a single variable over time.

• To show the distribution of a single variable.

• To compare the means of two groups.

• To display the relationship between two variables.

Multiple Choice

What is the line of best fit? #4

• A curved line that represents the best approximation of the relationship between two variables in a scatter plot.

• A line that represents the average of all the data points in a scatter plot.

• A straight line that represents the best approximation of the relationship between two variables in a scatter plot.

• A line that connects all the data points in a scatter plot.

Multiple Choice

What does the slope of the line of best fit represent? #6

• Y-intercept

• Standard deviation

• Rate of change

• Intercept

Multiple Choice

How can you determine if a scatter plot has a positive correlation? #8

• Check if the points on the plot generally decrease from left to right.

• Check if the points on the plot are randomly scattered.

• Check if the points on the plot form a straight horizontal line.

• Check if the points on the plot generally increase from left to right.

Multiple Choice

Which sentence describes the relationship shown on this scatter plot? #11

• The more time spent training, the longer it takes to run 100 m.  
• As the time spent training increases, the time to run 100 m decreases. 
• As the time spent training decreases, the time to run 100 m decreases. 

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 chapters would be in a book with 180 pages. #12

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters

Multiple Choice

Which sentence describes the relationship shown on this scatterplot? #13

• As the temperature decreases, the visitors increase. 
• As the temperature increases, the number of visitors increases. 
• As the visitors increase, the temperature decreases. 
• No correlation

Multiple Choice

What type of association (correlation) does this graph have? #18

• positive
• negative
• none
• all of the above

Multiple Choice

What type of association does this graph show? #20

• Positive
• negative
• none
• all of the above

Multiple Choice

What is the equation of the line of best fit? #22

• y= 2x+3

• y=3x+2

• y= $$\frac{1}{2}x\ +3$$

• y= $$-\frac{1}{2}x\ +3$$

Correlation and regression line calculator that shows work

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Multiple Choice

Find the equation of the line of best fit for the given data. #24

• y = 163.41x+1.49

• y =- 163.41x+ 4.19

• y =- 4.19x+163.41

• y = 4.19x -163.41

Multiple Choice

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is 

$$m=-1.79+61.93h$$ . Predict how far a person will travel driving 10 hours. #25

• 617.51 miles

• 621.09 miles

• 100 miles

• 0.19 miles

Multiple Choice

Average fat intake per citizen of a country and average cancer rate of a country.  $$r=.73$$  #30

• strong positive

• strong negative

• weak positive

• weak negative

Match

Match the following. #44

Non-linear Correlation

No Correlation

Positive, Linear Correlation

Negative, Linear Correlation

• Non-linear Correlation

• No Correlation

• Positive, Linear Correlation

• Negative, Linear Correlation

Multiple Choice

Write the equation for the linear regression shown. #46

• $$y=-5.11x+3.23$$

• $$r=0.8$$

• $$y=3.23x\ -\ 5.11$$ $$\$$

• $$y=0.64x+0.8$$