Residual Values

• 73.2

• 84.0

• 88.6

• 94.6

• 424.4

A person of height 179cm weighs 82kg. If the regression equation is used to predict their weight, then the residual will be closest to:

• -8kg

• 3kg

• 8kg

• 9kg

• 74kg

In 2011, life expectancy in Australia was 81.8 years and the Human Development Index was 92.9 When the least squares line is used to predict life expectancy in Australia, the residual is closest to:

• -0.6

• -0.4

• 0.4

• 11.1

• 42.6

The egg density is 1500 when the number of female moths caught is 55.

Determine the residual value if the least squares line is used to predict the egg density for this number of female moths.

Question 40

• 1

• 2

• 3

• 4

What is a residual?

• The difference of the y-value of a data point and the corresponding y-value found using the line of fit

• The difference of the x-value of a data point and the corresponding x-value found using the line of fit

• The difference of the y-value of a data point and the corresponding x-value found using the line of fit

• The difference of the x-value of a data point and the corresponding y-value found using the line of fit

After performing analyses on a set of data, Mrs. Schoeneck examined the scatter plot of the residual values for each analysis. Which scatter plot indicated the best linear fit for the data?

• A

• B

• C

Select all the negative residuals

Shown is a residual plot. How many negative residuals are there?

• 5

• 1

• 3

• 9

The regression equation y = 25x + 100 models the cost, y, of an event for x people. The table shows what the party sizes actually paid. Complete the table with the predicted values and residuals.

e

f

g

h

d

c

225

-15

15

35

overestimate

underestimate

300

-35