Statistics Unit 13

Big Idea:

Linear Regression Inference

Student Expectations:

Focus Standards

I. Exploring Data: Describing patterns and departures from patterns

D. Exploring bivariate data

5. Transformations to achieve linearity: logarithmic and power transformations

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

A. Estimation (point estimators and confidence intervals)

8. Confidence interval for the slope of a least-squares regression line

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

B. Tests of significance

7. Test for the slope of a least-squares regression line

Ongoing Standards

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

A. Estimation (point estimators and confidence intervals)

1. Estimating population parameters and margins of error

2. Properties of point estimators, including unbiasedness and variability

3. Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals

B. Tests of significance

1. Logic of significance testing, null and alternative hypotheses; p-values; one-and two-sided tests; concepts of Type I and Type II errors; concept of power

Student Learning Targets:

• I will check conditions for performing inference about the slope of the population regression line
• I will interpret computer output from a least-squares regression analysis
• I will construct and Interpret a Confidence interval for the slope of a regression line
• I will perform a significance test about the slope of a regression line
• I will use transformations involving powers and roots to find a power model
• I will use transformations involving logs to find a power model or exponential model
• I will determine which transformation better produces a linear relationship

Essential Questions:

• How can we test the slope of a correlation?
• What are the conditions for inference in a regression?
• What does a confidence interval for a regression reveal about the data?

Extra Information:

Adopted Textbook:

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