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Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
1
January 27, 2020
Oct 313:15 PM
Algebra 1
Mrs. Hall
January 27, 2020
Get out your homework and materials for class. You have a Bell Ringer to work on.
Oct 313:15 PM
Bell Ringer
1) What is the slope of a line that is perpendicular to y = 4x + 3?
2) What is the slope of a line that is parallel to 5x 2y = 2 ?
3) Write slopeintercept form of an equation that goes through (2,6) and is parallel to
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Nov 115:29 PM
Check Homework
Nov 115:34 PM
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Jan 45:17 PM
Scatter Plots &
Trend Lines
EQ: How do you write an equation to show trends in data?
Jan 45:17 PM
Scatter plots are similar to line graphs in that they use horizontal and vertical axes to plot data points.
However, they have a very specific purpose. Scatter plots show how much one variable is affected by another.
The relationship between two variables is called their correlation.
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Nov 126:07 PM
Correlation and Causation
https://www.khanacademy.org/partnercontent/wiphi/wiphicriticalthinking/wiphifundamentas/v/criticalthinkingfundamentalscorrelationandcausation
Jan 45:25 PM
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Jan 45:27 PM
A high correlation shows a strong correlation between the variables. A low correlation shows a weak correlation between the variables (a lot of outliers).
Jan 45:28 PM
A high correlation is strong. A low correlation is weak.
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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Jan 45:30 PM
Sometimes there is no correlation between the variables.
Jan 45:30 PM
Use the graph to answer the following questions with your partner.
• Would a line that is close to all of the points have a positive or negative slope?
• What would you do to find the equation of that line?• What type of graph would show that the relationship between the year and the number of travelers who travel to another country is decreasing?
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Nov 115:59 PM
Does this graph show a positive correlation, a negative correlation, or no correlation? Describe the meaning of the line in the graph.
Nov 116:06 PM
Scatter plots can show whether there is a trend in a set of data. When the data points all lie close to a line, a line of fit or trend line can model the trend. Sometimes this is referred to as the line of best fit.
Where is the trend line in this data?
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Nov 116:10 PM
Steps:
1. Make a scatter plot and determine if a relationship exists in the data.
2. Draw a line that passes close to most of the data points.
3. Use two points on the line of fit to write an equation for the line.
4. Use the line of fit to make predictions.
Nov 116:15 PM
This table shows the growth of the world population. Identify the independent and dependent variables. Make a scatter plot and determine what relationship, if any, exist in the data.
Independent:
Dependent:
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Nov 116:18 PM
Scatter Plots & Lines of Fit
Nov 116:41 PM
• Is there a relationship in the data?
• Choose two points on the line of fit and write an equation for the line.
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Nov 116:30 PM
Use the equation for the line of fit to predict the world's population in 2100.
Nov 125:56 PM
Distance traveled (in miles) and the amount of gas (in gallons) in your car.
Unit 4B Day 12 Scatter Plots & Trend Lines A1.notebook
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January 27, 2020
Nov 126:03 PM
• Use the table and graph the information
• Draw a line of best fit
• Determine an equation for the line
• Make a prediction based on the trend line
> predict the distance traveled when 9 gallons of gas are left
Nov 116:57 PM
Homework:
Complete the Scatter Plots & Lines of Fit worksheet
Test next week over Unit 4B: Linear Functions
• A day 2/5 (Wednesday)• B day 2/4 (Tuesday)