In a study of the performance of a new engine design, the weight of 12 speed boats (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
107.58
0.8710 s. e. of Coeff
11.12
0.4146 t-ratio
9.67
2.10 prob
0.000
0.062
R squared = 30.6% R squared (adjusted) = 23.7%
s = 10.42 with 12 - 2 = 10 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 a boat if its weight is 4 tons? Show your work. (6 points)