In a study of the performance of a new engine design, the weight of 22 aircrafts (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below. Depend Variable: Top Speed
Variable
Constant
Weight Coefficient
11.6559
3.47812 s. e. of Coeff
0.3153
0.294 t-ratio
37
11.8 prob
≤ 0.0001
≤ 0.0001
R squared = 87.5% R squared (adjusted) = 86.9%
s = 0.6174 with 22 - 2 = 20 degrees of freedom

Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)

Part B: What is the predicted value for the top speed of an aircraft if its weight is 100 tons? Show your work. (6 points)