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)