AP Stats – MinitabName______

  1. After analyzing the salaries and batting averages of many baseball players in both leagues, a sports commentator concluded that higher-paid players will have higher batting averages. Let n = 10.
  2. Determine the least-squares regression line.
  3. What is the correlation coefficient?
  4. What percent of the variation in batting average can be explained by the least squares line?
  5. What is the estimated batting average for any player who is earning $875,000?
  6. Determine an estimate of the slope using a 90% confidence level. Interpret it.
  7. Use a 5% level of significance to test the sports commentator’s claim.
  1. Galton believed that a very close relationship exists between the heights of fathers and the heights of their sons. To test this claim, a scientist selected ten men at random and recorded their heights and the heights of their sons.
  2. Determine the least-squares regression line.
  3. What is the correlation coefficient?
  4. What percent of the variation in son’s height can be explained by the father’s height?
  5. What is the estimated height of a son whose father is 71 inches tall?
  6. Determine an estimate of the slope using a 90% confidence level. Interpret it.
  7. Use a 5% level of significance to test the sports commentator’s claim.
  1. City officials believe that the number of complaints to the city’s heat complaint control board (for lack of heat) is negatively related to the outdoor temperature. Let n = 7.
  1. Determine the least-squares regression line.
  2. What is the correlation coefficient?
  3. What is the coefficient of determination? Interpret it
  4. What is the estimated number of complaints for 22˚F?
  5. Determine an estimate of the slope using a 98% confidence level. Interpret it.
  6. Use a 4% level of significance to test the sports commentator’s claim.
  1. A large trucking company that delivers fresh fruit wishes that its truck drivers be forced to work overtime. The union claims that the more hours that a truck driver works, the greater the risk of an accident (due to fatigue). To support its claim, the union sampled 7 people to find the average number of hours worked by a truck driver (per week) and the number of accidents (per week).
  1. Determine the least-squares regression line.
  2. What is the correlation coefficient?
  3. What percent of the variation in Accidents can be explained by the least squares line?
  4. What is the estimated number of accidents when a truck driver is forced to work 48 hours a week?
  5. Determine an estimate of the slope using a 99% confidence level. Interpret it.
  6. Use a 1% level of significance to test the sports commentator’s claim.
  1. Can physical exercise affect a person’s longevity? The study below represents the age of a person at the start of exercises and their estimated additional life expectancy. They sampled eight people.
  1. Determine the least-squares regression line.
  2. What is the correlation coefficient?
  3. What is the coefficient of determination? Interpret it.
  4. What is the predicted estimate of added years of life for a person who is 50 at the start of exercise?
  5. Determine an estimate of the slope using a 95% confidence level. Interpret it.
  6. Use a 10% level of significance to test the sports commentator’s claim.
  1. Six students were asked to indicate how many hours they studied before taking their statistics examination. Their responses were then matched with their grades on the exam which had a maximum score of 100.
  1. What proportion of observed variation in scores can be attributed to the linear relationship between number of study hours and test scores?
  2. Calculate the typical deviation from the least squares line and the standard error of the slope.