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Which assumption of linear regression is violated if the residuals exhibit a pattern when plotted against the predicted values?

Question

Which assumption of linear regression is violated if the residuals exhibit a pattern when plotted against the predicted values?

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Solution 1

When the residuals exhibit a pattern when plotted against the predicted values, it suggests a violation of the assumption of linearity in linear regression.

Solution 2

When the residuals exhibit a pattern when plotted against the predicted values in linear regression, it suggests a violation of the assumption of independence of errors.

Similar Questions

Suppose you have a residuals plot that shows a funnel shape for the residuals. Which assumption of linear regression is being violated?

A simple linear regression model was fitted to two variables: Y, the response variable and X, the explanatory variable.A scatter plot of Y versus X as well as the residual plot after fitting the least squares regression line to the data are given below.Which ONE of the following statements regarding the assumptions for this simple linear regression is FALSE?Group of answer choicesThere are two outliers from the general trend.TThe observation with the largest value of x is likely to have a large effect on the position of the fitted line.Two of the observations have unusual y values given their x values.Two of the observations are outliers in x.There are doubts about the Normality of the errors due to the presence of one or more outliers.

Plot the residuals against the fitted values.

Which assumption is NOT made by Linear Regression?Answer areaLinearity of relationshipsIndependence of errorsHomoscedasticityData follows a normal distribution

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