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11Alexandr11 [23.1K]

3 years ago

13

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 recor

ded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.
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)

1 answer:

Ludmilka [50]3 years ago

8 0

The LSRL is the Least Squares Regression Line of the new engine design performance

The LSRL is: y = 11.6559 + 3.47812x
The predicted top speed when the weight is 100 tons is 359.4679

<h3>How to determine the LSRL?</h3>

This is the equation of the Least Squares Regression Line.

From the calculation summary, we have the following parameters:

Coefficient of constant = 11.6559
Coefficient of Weight = 3.47812

So, the LSRL is:

y = 11.6559 + 3.47812x

Where y represents the predicted volume and x represents the weight.

<h3>The predicted value when the weight is 100 tons</h3>

In (a), we have:

y = 11.6559 + 3.47812x

Substitute 100 for x

y = 11.6559 + 3.47812 * 100

Evaluate

y = 359.4679

Hence, the predicted top speed when the weight is 100 tons is 359.4679

Read more about Least Squares Regression Line at:

brainly.com/question/24848242

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