Correlation, Regression, and Data Analysis

Mr. Bulock provides a comprehensive review of key statistical concepts in preparation for an upcoming AP Statistics test. The video covers topics such as correlation, categorical variables, stem plots, normal distribution, mean salary, standard deviation, skewness, histograms, regression, and monotonic functions. Through a series of sample questions, Mr. Bulock explains how to interpret data, understand relationships between variables, and apply statistical rules. The video aims to enhance students' understanding of statistics and improve their problem-solving skills.

Which of the following statements about correlation is true?

• Correlation distinguishes between explanatory and response variables.

• Correlation requires at least one variable to be qualitative.

• Correlation can be any number between -2 and 2.

• Correlation measures the strength of a linear relationship.

In a survey, which type of variable is considered categorical?

• Age of respondents

• Income level

• Number of siblings

• Postal code

Which statement about stem plots is correct?

• Stem plots are ideal for categorical data.

• Stem plots can show symmetry and outliers.

• Stem plots are cumbersome for small datasets.

• Stem plots are useful for both small and large datasets.

What percentage of data lies between -3 and +3 in a standard normal distribution?

• 50%

• 99.7%

• 95%

• 68%

Which measure of center should be used to portray baseball players as overpaid?

• Range

• Median

• Mode

• Mean

If the mean salary of female workers is $41,000 and male workers is $35,000, what can be said about the mean salary of all workers?

• It is closer to $35,000.

• It is exactly $38,000.

• It is closer to $41,000.

• It is between $35,000 and $41,000.

What does a standard deviation of zero indicate about a dataset?

• There is high variability.

• The mean is zero.

• All observations are the same.

• All observations are different.

If a dataset is skewed to the left, what can be said about the mean and median?

• The mean is to the left of the median.

• The mean is to the right of the median.

• The mean and median are equal.

• The mean is greater than the median.

What does a stem plot with a long tail to the right indicate?

• The data has no outliers.

• The data is skewed to the right.

• The data is skewed to the left.

• The data is symmetrical.

In a histogram, if 63 out of 136 students have less than $10, what percentage is this approximately?

• 46%

• 40%

• 55%

• 50%