A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similar conditions were subjected to various amounts of fertilizer over a four-month period, and then their heights were measured.
a. Estimate the regression model:
Height = β0 + β1 Fertilizer + ε.
b. At the 5% significance level, determine if a unit of fertilizer increases height by more than 3 units. Show the relevant steps of the test.