Monday Topic 3.2 Least Squares Regression Essential Question

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Topic
Essential Question
Key Vocabulary
Opening
Monday
3.2 Least Squares Regression
Why is it important to investigate relationships between
variables?
Response Variables, Explanatory Variables, Independent
Variables, Dependent Variables, Scatterplot, Overall
Pattern, Deviations, Form, Direction, Strength, Clusters,
Positively Associated, Negatively Associated, Linear
Relationships, Correlation, Least-Squares Regression,
Regression Line, Slope of LSRL, Intercept of LSRL,
Coefficient of Determination, Residual, Roundoff Error,
Residual Plot, Influential Observations
The weight of soap depends on the number of days it had
been used. Thus dependent variable(y) is weight of the soap
and independent variable is the number of days (x). The
computation from minitab is as follows:
Predictor Coef SE Coef
T
P
Constant 123.141 1.382 89.09 0.000
Day
-5.5748 0.1068 -52.19 0.000
S = 2.94921 R-Sq = 99.5% R-Sq(adj) = 99.5%
Work Session
Closing
Identify the slope, y-intercept, the values of s and r2.
Write out the least squares regression line.
We will continue with intepreting computer regression
outputs and continue where we left off from previous day.
Clear up any misconceptions students may have. What are
they still struggling with?
Tuesday
Topic
Essential Question
Key Vocabulary
3.2 Least Squares Regression Quiz, Review
Why is it important to investigate relationships between
variables?
Response Variables, Explanatory Variables, Independent
Variables, Dependent Variables, Scatterplot, Overall
Pattern, Deviations, Form, Direction, Strength, Clusters,
Positively Associated, Negatively Associated, Linear
Relationships, Correlation, Least-Squares Regression,
Regression Line, Slope of LSRL, Intercept of LSRL,
Coefficient of Determination, Residual, Roundoff Error,
Residual Plot, Influential Observations
Opening
Answer any misconceptions students may have.
Work Session
Students will work on 3.2 Least squares regression quiz
independently. They will have 20-30 minutes to complete
this quiz. When students are finished, they will be given
the study guide for their test on Tuesday and will need to
start working on it. They will be provided time tomorrow to
finish it and ask any questions.
Clear up any misconceptions students may have. What are
they still struggling with?
Wednesday
Review
Closing
Topic
Essential Question
Key Vocabulary
Opening
Work Session
Closing
Topic
Essential Question
Key Vocabulary
Opening
Why is it important to investigate relationships between
variables?
Response Variables, Explanatory Variables, Independent
Variables, Dependent Variables, Scatterplot, Overall
Pattern, Deviations, Form, Direction, Strength, Clusters,
Positively Associated, Negatively Associated, Linear
Relationships, Correlation, Least-Squares Regression,
Regression Line, Slope of LSRL, Intercept of LSRL,
Coefficient of Determination, Residual, Roundoff Error,
Residual Plot, Influential Observations
Students are to get out their calculator cheat sheet, and
their interpreting in context cheat sheet.
Students will work on their review either collaboratively or
individually.
Discuss any misconceptions they may still have.
Thursday
Test-Multiple choice
Why is it important to investigate relationships between
variables?
Response Variables, Explanatory Variables, Independent
Variables, Dependent Variables, Scatterplot, Overall
Pattern, Deviations, Form, Direction, Strength, Clusters,
Positively Associated, Negatively Associated, Linear
Relationships, Correlation, Least-Squares Regression,
Regression Line, Slope of LSRL, Intercept of LSRL,
Coefficient of Determination, Residual, Roundoff Error,
Residual Plot, Influential Observations
Answer any questions before the test
Work Session
Closing
Topic
Essential Question
Key Vocabulary
Opening
Work Session
Closing
Students will work individually on the multiple choice part of
their chapter 3 describing relationships test.
None
Friday
Test- Free Response
Why is it important to investigate relationships between
variables?
Response Variables, Explanatory Variables, Independent
Variables, Dependent Variables, Scatterplot, Overall
Pattern, Deviations, Form, Direction, Strength, Clusters,
Positively Associated, Negatively Associated, Linear
Relationships, Correlation, Least-Squares Regression,
Regression Line, Slope of LSRL, Intercept of LSRL,
Coefficient of Determination, Residual, Roundoff Error,
Residual Plot, Influential Observations
Answer any questions before the test
Students will work individually on the free response part of
their chapter 3 describing relationships test.
None
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