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

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

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.

Which of the following is true regarding residual in linear regression?The sum of residuals should be equal to zeroThe sum of residuals should be greater than zeroThe sum of residuals should be less than zeroThere is no such condition on the sum of residuals, it can be anything

Which of the following best describes the situation where the residuals in a simple linear regression model increase as the value of the independent variable increases?

Which one of the statements is true regarding residuals in regression analysis? Mean of residuals is always 0 Mean of residuals is always < 0 Mean of residuals is always > 0 There is no such rule for residuals