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Fitting a Regression Line Conceptual Overview: Explore how the scatter diagram a

ID: 3051287 • Letter: F

Question

Fitting a Regression Line Conceptual Overview: Explore how the scatter diagram and best-fit line are related to the r- squared value and squared errors. In the figure below, you will see a scatter diagram and trend line. Click on the "Display/Hide Error Squares" button to toggle betweern displaying or hiding the squared error in the graph. Then drag the blue regression line to try to reduce the sum of squared errors The meter on the left keeps track of your progress by displaying the r-squared value The proportion of the error meter that turns blue is equivalent to the r-squared value for the regression. Click on the "Find Best Line" button to confirm that you have found the best-fitting regression line.

Explanation / Answer

The answers for the questions would be as follows: -

1)

a. The better the line fits the data the higher the value of r-square

2)

b. Sum of square due to regression (SSR)