A rocket motor is manufactured by bonding together two types of propellants, an igniter and a sustainer. The shear strength of the bond (y) is thought to be a linear function of the age of the propellant (X) when the motor is cast. Twenty observations are shown in the following table.
A) find the least squares estimated of the slope and intercept in the linear regression model
B) find the estimate of (?^2)
C) estimate the mean shear strength of a motor made from propellant that is 20 weeks old

Question

10-12-2022
Mathematics

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A rocket motor is manufactured by bonding together two types of propellants, an igniter and a sustainer. The shear strength of the bond (y) is thought to be a linear function of the age of the propellant (X) when the motor is cast. Twenty observations are shown in the following table.
A) find the least squares estimated of the slope and intercept in the linear regression model
B) find the estimate of (?^2)
C) estimate the mean shear strength of a motor made from propellant that is 20 weeks old

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debjitbhowal4568 debjitbhowal4568 · Answer 1 · 2022-12-18T06:41:37+01:00

A- The fitted line or the fitted linear regression model is:[tex]y=2625.385462-36.96179663*x[/tex]

B- [tex]s^{2} = 9811.21237[/tex]

C- [tex]y_{20} = 1886.14953[/tex]

A fundamental and widely used form of predictive analysis is linear regression. Regression analysis' main goal is to look at two things: (1) Is it possible to accurately forecast an outcome (dependent) variable using a set of predictor variables? (2) Which individual variables—as shown by the size and sign of the beta estimates—are highly important predictors of the outcome variable, and how do they affect the outcome variable? The link between one dependent variable and one or more independent variables is explained using these regression estimations.

To learn more about linear regression visit: brainly.com/question/29080946

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