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7.1 7.1 Draw Scatter Plots & Draw Scatter Plots & Best-Fitting Lines Best-Fitting Lines 7.1 HW Quiz: Friday 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday afternoon! Need: Graphing Calculator

7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

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Page 1: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

7.1 7.1 Draw Scatter Plots & Draw Scatter Plots &

Best-Fitting LinesBest-Fitting Lines

7.1 HW Quiz: Friday7.1 HW Quiz: Friday7.1, 7.2 Quiz: TBA7.1, 7.2 Quiz: TBA

7.1, 7.2, 7.7 Test: Sept. 227.1, 7.2, 7.7 Test: Sept. 22

Make-up work

needs to be made

up by Monday

afternoon!Need: Graphing

Calculator

Page 2: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

VocabularyVocabulary

Scatter plot:Scatter plot: a graph of a set of data pairs a graph of a set of data pairs (x, y)(x, y)

Positive correlation:Positive correlation: y tends y tends to increase as x increasesto increase as x increases

Negative correlation:Negative correlation: y tends y tends to decrease as x increasesto decrease as x increases

Page 3: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

More VocabularyMore VocabularyCorrelation coefficient:Correlation coefficient: denoted by r, is denoted by r, is a number from -1 to 1 that measures how a number from -1 to 1 that measures how well a line fits a set of data pairs (x, y).well a line fits a set of data pairs (x, y). If r is near 1, the points lie close to a line with a If r is near 1, the points lie close to a line with a

positive slope.positive slope. If r is near -1, the points lie close to a line with a If r is near -1, the points lie close to a line with a

negative slope.negative slope. If r is near 0, the points do not lie close to any line. If r is near 0, the points do not lie close to any line.

Page 4: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

Correlation Coefficient:Correlation Coefficient:

What do you think the correlation What do you think the correlation coefficient would be for these graphs?coefficient would be for these graphs?

x

y

x

y

x

y

x

y

x

y

Page 5: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

If “r” is…If “r” is…

-.956-.956

.899.899

11

00

-1-1

0.50.5

-0.6-0.6

Page 6: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

Guided Practice for Ex.1, p. 248Guided Practice for Ex.1, p. 248For each scatter plot, (a) tell whether the dataFor each scatter plot, (a) tell whether the data

have a positive, negative, or approximately have a positive, negative, or approximately no correlation, and (b) tell whether the no correlation, and (b) tell whether the correlation is closest to -1, -0.5, 0, 0.5, or 1. correlation is closest to -1, -0.5, 0, 0.5, or 1.

1)1) 2)2)

Page 7: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

More VocabularyMore Vocabulary

Best-fitting line:Best-fitting line: line that lies as close as line that lies as close as possible to all the data pointspossible to all the data points

Linear regression:Linear regression: a method for finding a method for finding the equation of the best-fitting line, or the equation of the best-fitting line, or regression, which expresses the linear regression, which expresses the linear relationship between the independent relationship between the independent variable x and the dependent variable, y, variable x and the dependent variable, y, e.g. y = ax + b e.g. y = ax + b

Page 8: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

Example 2: Example 2: Approximate the best-fitting lineApproximate the best-fitting line

ScatterplotScatterplot

Best-Fit Line EQBest-Fit Line EQ

Best-Fit Line GraphBest-Fit Line Graph

See Handout

Page 9: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

Guided Practice for Example 2: p. 249Guided Practice for Example 2: p. 249

Draw a scatter plot and approximate the Draw a scatter plot and approximate the best-fitting line for the following data:best-fitting line for the following data:

(1, 22), (2, 30), (3, 33), (4, 39), (5, 45)(1, 22), (2, 30), (3, 33), (4, 39), (5, 45)

y = 5.5x + 17.3

Page 10: 7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday

Start Homework NOW!Start Homework NOW!

P. 250-251P. 250-251

#1-2, 7-9#1-2, 7-9

(may use graphing calculator)(may use graphing calculator)

Finish PSAT Practice WSFinish PSAT Practice WS

will turn in tomorrow!will turn in tomorrow!

(show work!)(show work!)