A horticulturist is studying the relationship between tomato plant height and fertilizer amount. He uses a sample of 30 to estimate the regression model as Height = β0 + β1Fertilizer + ε.
a. Estimate the regression model to predict the height of a tomato plant that received 3.0 ounces of fertilizer.
b. Use the above prediction to calculate and interpret the 90% confidence interval for the mean height of tomato plants.
c. Calculate and interpret the corresponding 90% prediction interval for the height of an individual tomato plant.