What does the slope of the regression line tell us?

For a respondent whose father had 14 years of education, the respondent is predicted to have 15 years of education. Based on this information, which of the following statements is true?

Match the scatterplots with the corresponding descriptions of their correlations below.  Ignore the labels Scatterplot A, B, C, D, E, and F.

Bone density is typically measured on a scale from -2.5 to 2.5 with a mean of 0 and a standard deviation of 1. Lower scores correspond to lower bone density. Use your knowledge about scatterplots and decide which of the following graphs shows that as women grow older they tend to have lower bone density?

The Olympics were not held in 1940 because of World War II. If the Olympics had happened in 1940, how could you estimate the gold medal winning distance in the long jump for that year?

For this linear regression model, r^2 = 0.90. What does this mean?

Consider the following two quantitative data sets.  Data set 1 consists of the ages of 22,000 students at the State University in a certain state.  Data set 2 consists of the ages of 22,000 people who live in a small town in the same state.  We are interested in comparing the variability of these two data sets.  Which statement below most likely describes the relationship between the data sets’ spread of ages?

Which section would you expect to have a smaller standard deviation in exam scores, and why?

A distribution of the 3rd digits of a random sample of 2-factor authentication codes (example…for authentication code 256409, the 3rd digit would be 6)

When conducting a survey, it is important to use a random sample because random samples: