Scatter Plots

Dr. Lee

Warm-Up 1

• Graph each point. • 1. A(3, 2) 2. B(–3, 3)• 3. C(–2, –1) 4. D(0, –3)• 5. E(1, 0) 6. F(3, –2)

Common Core Standards

• 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

Objectives

• Students will be able construct and make conjectures about scatter plots.

Targets

• I can construct an scatter plot.• I can interpret and scatter plot.

Essential Questions

• How are patterns used when comparing two quantities?

• How can you used data to predict an event?

Terms• Scatter plot – a graph that shows the

relationship between two data sets on the coordinate plane.

• Bivariate data – Data with two variables, or pairs, of numerical observations.

• Line of Best Fit - a line drawn on a scatter plot that is closest to most of the data points.

**Hint** The line of best fit does not need to pass through every point

Launching the conceptPositive Correlation: The correlation in the same direction is

called positive correlation. If one variable increase other is also increase and one variable decrease other is also decrease. For example, the length of an iron bar will increase as the temperature increases

Negative Correlation:The correlation in opposite direction is called negative correlation, if one variable is increase other is decrease and vice versa, for example, the volume of gas will decrease as the pressure increase or the demand of a particular commodity is increase as price of such commodity is decrease.

Correlation or Zero Correlation:If there is no relationship between the two variables such that the value of one variable change and the other variable remain constant is called no or zero correlation

Launching the concept

Launching the concept

Learn zillion video

Examples from ConnectED

Launching the concept

• Your turn • Antione

• 4x – 28 • Athel

• 3x + 33y• Todd

• 4x + 35

**Hot ? How would you describe the problem in your own words?

**How could you demonstrate a counter-example?

Guided Practice • Find the GCF of each pair of

monomials 1. 32x, 18 2. 27s, 54st 3. 18cd, 30cd

• Factor each expression. If you cannot be factored, write cannot be factored.

4. 36x + 24 5. 4x + 9 6. 14x – 16y

Independent Practice • Find the GCF of each pair of

monomials1. 24, 48m 2. 32a, 48b 3. 36k, 144km

• Factor each expression. If the expression cannot be factored, write cannot be factored.

4. 3x + 6 5. 2x – 15 6. 12x + 30y

T.O.D

• Error Analysis• James is factoring 90x – 15. 90x – 15 = 15(6x) = 9 • Where did he go wrong? Explain

your reasoning.• What properties might you use to find

a solution?