Fit y= Ax2 to the following data: (0.5, 0.7), (1, 3.4), (1.5, 7.2), (2, 12.4), (2.5,...

Fit y= Ax² to the following data: (0.5, 0.7), (1, 3.4), (1.5, 7.2), (2, 12.4), (2.5, 20.1)

Expert Solution

Hey everything can be found with just simple command in R.

The fitted regression equation will be y=0.974974+0.004223x2.

The residuals with respect to each of the five observations are given in the summary in R.

Also the F statistic 12.3 suggests that the regression is significant,that means x2 should be included in the model because the hypothesis that it's coefficient is 0 is rejected.

That means it's coefficient is not zero.

Also R2 is high,hence the fit is good or the change in y is explained well by x2.

R2 (for this model where there is only one regressor)is the change in y which is explained by the linear regression equation of y on x2.

For knowing anything else specifically please comment.

orchestra answered 2 years ago

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