1 / 13

# AP Review - PowerPoint PPT Presentation

AP Review. Exploring Data. Describing a Distribution. Discuss center, shape, and spread in context. Center: Mean or Median Shape: Roughly Symmetrical, Right or Left Skewed Spread: Standard Deviation, IQR, Range, or Spread. Checking for Outliers.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

## PowerPoint Slideshow about ' AP Review' - adonica

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### AP Review

Exploring Data

Discuss center, shape, and spread in context.

Center: Mean or Median

Shape: Roughly Symmetrical, Right or Left Skewed

Spread: Standard Deviation, IQR, Range, or Spread

A survey was conducted to gather ratings of the quality of service at local restaurants at a nearby mall. Respondents were to rate overall service using values between 0 (terrible) and 100 (excellent). The five number summary is 32, 47.5, 51, 63.5, 92. The data values above Q3 are 65, 66, 70, 71, and 92. Are there outliers on the high end?

Outliers > Q3 + 1.5(IQR)

Outliers > 63.5 + 1.5 (63.5 – 47.5)

Outliers > 87.5

Therefore, 92 is an outlier.

• Robust (not affected by extreme values)

Median, IQR

• Sensitive (affected by extreme values)

Mean, s, range

• Parameters are numerical values that describe a population.

• Statistics are numerical values that describe a sample.

• Barron’s p. 41 #10

• Assuming that batting averages have a bell-shaped distribution, arrange in ascending order:

I. An average with a z-score of –1

II. An average with a percentile rank of 20%.

III. An average at the first quartile, Q1.

I, II, III

• Barron’s P. 367 #3

• The average yearly snowfall in a city is 55 inches. What is the standard deviation if 15% of the years have snowfalls above 60 inches? Assume yearly snowfalls are normally distributed.

• Don’t forget about formulas on chart.

• r is the correlation coefficient.

• r^2 is the coefficient of determination.

• r has no units

• Strong r indicates association, not causation.

• r is not affected if x & y are reversed or if operations (mult, divide, add, sub) are performed on each x or on each y.

• r^2 describes the percent variation of the dependent variable, y, explained by the linear relationship (LSRL) with the independent variable, x. PUT IN CONTEXT!

• When discussing r, describe line as weak, moderate, or strong linear relationship between x & y

• Influential Point – pulls regression line toward it. An influential point is usually a point in the x-direction.

• Outlier – shows up in residual plot usually in the y – direction.

• When performing Linear Regression, do the following:

Create a scatterplot

Calculate the equation of the regression line

Plot the residuals

A residual is the observed y – predicted y.

• Multiple Choice

P. 370 #13, 14, 16, 19, 21, 24, 27, 30, 38

• Free Response

P. 430 #2