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 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

What does the term 'residual' mean in linear regression?Review LaterDifference between an observed value and its corresponding predicted valueThe slope of the regression lineA variable that is not included in the modelThe intercept of the regression line

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.

Select all correct statements of residuals for a simple linear regression model.Question 3AnswerSelect one or more:a.The sum of squared residuals is a minimum.b.The sum of the weighted residuals is zero when the residual in the th trial is weighted by the th response .c.Residuals have constant variance.d.Residuals are correlated.

What is a residual? When is a residual negative?