Statistical Analysis and Interpretation

Mr. Starnes guides AP Stat students through an investigative task focusing on scatter plots, two-way tables, and statistical measures like chi-square and correlation. The session includes practical exercises, graph construction, and analysis of statistical relationships, concluding with a discussion on the benefits and drawbacks of different statistical measures.

What is the primary focus when describing the association in a scatter plot?

• The color of the data points

• The number of data points

• The direction, form, strength, and unusual features

• The size of the graph

When constructing a graph from a two-way table, what is crucial to include?

• A title for the graph

• A legend for the graph

• Labeled and scaled axes

• A description of the graph

If there is no association between size and price, what is expected in the two-way table?

• All houses are expensive

• All houses are large

• The proportion of expensive houses is the same for large and not large houses

• The table will be empty

What does a higher chi-square statistic indicate?

• A stronger association

• A negative association

• A weaker association

• No association

How does decreasing the price of the most expensive house affect the correlation coefficient?

• It decreases the correlation

• It makes the correlation negative

• It increases the correlation

• It has no effect on the correlation

What happens to the chi-square statistic if the price of a house changes but its category remains the same?

• The chi-square statistic decreases

• The chi-square statistic remains unchanged

• The chi-square statistic increases

• The chi-square statistic becomes zero

What is a benefit of using the chi-square statistic over the correlation coefficient?

• It is more sensitive to outliers

• It provides a more detailed analysis

• It is resistant to unusual values

• It is easier to calculate

What is a drawback of using the chi-square statistic?

• It is difficult to interpret

• It treats all data points equally

• It is affected by outliers

• It requires a large sample size

Why might the correlation coefficient be preferred over chi-square in some cases?

• It is unaffected by changes in data

• It captures the impact of individual data changes

• It is less complex to compute

• It provides a categorical analysis

What is the main purpose of the investigative task in this session?

• To apply different statistical concepts in a comprehensive manner

• To focus solely on scatter plots

• To memorize statistical formulas

• To learn about data collection methods