Consider the following data on x and y shown in the table below, x 2 4...

Consider the following data on x and y shown in the table below,

x	2	4	7	10	12	15	18	20	21	25
y	5	10	12	22	25	27	39	50	47	65

Fit the model E(y)=β0+β1x to the data, and plot the residuals versus x for the model on Minitab. Do you detect any trends? If so, what does the pattern suggest about the model?

Solutions

Expert Solution

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Interpretation:

The plot of the residuals versus the independent variable (X) for the model explains the linear relationship between the variables. There is no existence of non-linear pattern in the plot and there is no evidence of unequal variances in the data. The pattern is linear and it explains 95.99 of the variation in the dependent variable (Y) can be explained by the independent variable (X) of the model. The model is a very good fit for the given data.

orchestra answered 1 year ago

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