In: Statistics and Probability
For the cultivation of a cereal, an amount of fertilizer x is applied in Kgs, per unit area and the quantity y of tons of production is obtained. The following data is available:
x 99 100 101 102 103 104 105 106
y 2.1 2.8 7.2. 9.9 9.3 13.6 14.7 17.1
Do the test: H_0: β1 = 0 VS H_1: β1 ≠ 0 . Use α = 0.005.
Make a confidence interval (α = 0.005) for β1.
What would be a prediction interval for future production if x_h = 101 is used? Use 1 − α = 1−0.005