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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.

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)

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 a class=

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MrRoyal

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

How to determine the LSRL?

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.

The predicted value when the weight is 100 tons

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:

https://brainly.com/question/24848242

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