Question 11 MarkWhich assumption of linear regression implies that the relationship between the independent and dependent variables is a straight line?Answer choicesSelect only one optionREVISITLinearityHomoscedasticityNormality of residualsIndependence of residuals0/10 questions attempted

Which of the following is an assumption of linear regression?  Independence of errors   All of the above   Linearity between independent and dependent variables

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

Question 21Which of the following statements about the regression line is not correct?1 pointTheconstant indicates the place where the regression line crosses the Y-axis. The regression line is the line of which the sum of the residuals is the smallest.The regression line can run horizontally.The regression coefficient is the change in the Y value with 1 unit increase in the X value.

2. Discuss Linear Regression with an example.

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.