Question

g a. What is a​ residual? b. In what sense is the regression line the straight line that​ "best" fits the points in a​ scatterplot? a. What is a​ residual? A. A residual is a value that is determined​ exactly, without any error. B. A residual is the amount that one variable changes when the other variable changes by exactly one unit. C. A residual is a value of yminusModifyingAbove y with caret​, which is the difference between an observed value of y and a predicted value of y. D. A residual is a point that has a strong effect on the regression equation. b. In what sense is the regression line the straight line that​ "best" fits the points in a​ scatterplot? The regression line has the property that the ▼ sum of squares sum of the residuals is the ▼ lowest highest possible sum.

Answer 1

Answer:

for the first question we have the "c” as the correct option

residual is a value of y -y^ which is the difference between an observed value of y and predicted value of y

The residual is a value of y -y ^ which is the difference between an observed value of y and predicted value of y, so answer A is false in The residual mo has errors, option B is false because it is not defined as the quantity that changes a variable and it is false that the residual is a point that has a strong effect on the regression

for question two the correct answer is:

the best fitting straight regression line at the scatter plot points is

b) sum of squares and lowest

Answer 2

The residual is the value obtained by subtracting the actual and the predicted value. Therefore, the residual of a linear model can be defined thus ;

• Y_actual - Y_predicted

The line if best fit, defines the line which best fits or models a data. It is the line in the the sum of the square is lowest as it tries to minimize the sum of squared error.

Therefore, the correct options are C and (sum of square ; lowest)

Learn more :https://brainly.com/question/18405415