Fitting Lines Residuals

In the regression line to the left, what does "y-hat" represent?

• The slope

• The y-intercept

• The predicted value

• The residual

What does it mean when a residual is negative?

• The actual value is more than the predicted value

• The actual value is equal to the predicted value

• The actual value is less than the predicted value

Calculate the residual for the roller coaster the Iron Shark, which has a height of 100 feet and a top speed of 52 miles per hour.

Does adding sugar to the water in a vase help flowers stay fresh? To find out, two statistics students went to a flower shop and randomly selected 12 carnations. When they got home, they students prepared 12 identical vases with exactly the same amount of water in each vase. They put 1 tablespoon of sugar in 3 vases, 2 tablespoons of sugar in 3 vases, and 3 tablespoons of sugar in 3 vases. In the remaining 3 vases, they added no sugar. After the vases were prepareed, the students randomly assigned 1 carnation to each vase and observed how many hours each flower continued to look fresh. Here is a scatterplot along with the regression line where x = amount of sugar (in tablespoons) and y = hours of freshness. Calculate the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours. Round your answer to the nearest tenth.