Section 2.6

Question 1

Regression Line

Answer 1

The straight line that best fits the data in a scatterplot

Question 2

Estimated Equation of the Regression Line

Answer 2

y-hat = a+bx

(y-hat = predicted response)
(x = explanatory)

Question 3

Observed Response Value

Answer 3

The response value observed for a particular data point

Question 4

Predicted Response Value

Answer 4

The response value that would be predicted for a given X value, based on a model

(The best fitting line is that which makes the predicted values closest to the actual values)

Question 5

Residual

Answer 5

The Residual for each data point is observed - predicted = y - y-hat

(The residual is also the vertical distance from each point to the line)

Question 6

Least Square Line

Answer 6

The line which minimizes the sum of squared residuals

Question 7

Slope

Answer 7

Increase in predicted y for every unit increase in X

Question 8

Intercept

Answer 8

Predicted Y value when X = 0