A researcher is interested in seeing if there is a correlation between number of hours a person drives and the amount of fuel (in gallons) that is left in the gas tank. He starts with a pilot test using data for four people.
Number of Hours Driving (x) = 3, 2, 1, 6
Gallons of Fuel Left in Tank (y)= 4, 5, 9, 2
1. What is the correlation coefficient for the above data? What does it tell us about the relationship between hours of driving and the number of gallons of gasoline left in the gas tank?
2. What is the least-squares regression line for the above data?
3. Using the least-squares regression line from question 2, find out what the predicted level of gasoline would be for a person who drives 5 hours.