Line of Best Fit

Question 1

What are the residual values needed to complete the chart? a = b = c = d =

Revolt · Accepted Answer

Part 1: 0.9; Part 2: -1; Part 3: -0.6; Part 4: 0.2

Question 2

For the given table, which point lies on the residual plot?

Revolt · Accepted Answer

(3, 4.6)

Question 3

Does the residual plot show that the line of best fit is appropriate for the data?

Revolt · Accepted Answer

No, it follows a pattern.

Question 4

Which point is farthest from the line of best fit?( , )

Revolt · Accepted Answer

Part 1: 3; Part 2: 6.2

Question 5

What does a residual value of –4.5 mean in reference to the line of best fit?

Revolt · Accepted Answer

The data point is 4.5 units below the line of best fit.

Question 6

Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply.There are about the same number of points above the x-axis as below it.The points are randomly scattered with no clear pattern.The points lie on a line.The points lie on a curve.The number of points is equal to those in the scatterplot.The y-coordinates of the points are the same as the points in the scatterplot.

Revolt · Accepted Answer

There are about the same number of points above the x-axis as below it.; The points are randomly scattered with no clear pattern.; The number of points is equal to those in the scatterplot.

Question 7

What is the residual for 5?

Revolt · Accepted Answer

–1.6

Question 8

A scatterplot consists of (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), and (5, 2.7). The line of best fit used to model the data is y = –0.33x + 4.27. Which residual plot is correct?

Revolt · Accepted Answer

[Image: A graph shows the horizontal axis numbered 1 to 5 ...]

Question 9

George Box, a famous statistician, once said, "All models are wrong, but some are useful.” What did George Box mean by this statement?

Revolt · Accepted Answer

A model is an estimate or approximation of a data set. In the real world, there are too many variables to know exactly what will happen. However, if a model is a good fit, then it can be used to make predictions about what will happen. With a useful model, a predicted value should be a good estimate of an observed value.

Question 10

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

A model is an estimate of a data set.; A useful model can be used to make predictions.; Predictions should be a good estimate of what will actually happen.

Line of Best Fit Answers

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