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Chapter 11: Q-21E (page 649)

Minitab was used to generate the following histogram:

a. Is this a frequency histogram or a relative frequency histogram? Explain.

b. How many measurement classes were used in the construction of this histogram?

c. How many measurements are in the data set described by this histogram?

Short Answer

Expert verified

a.) Frequency histogram.

b.) 13 classes.

c.) 49 measurements.

Step by step solution

01

(a) Frequency histogram

Afrequency histogram is a form of bar chart that displays the frequency and number of occurrences of a result in a data collection. A graph displays frequencies using vertical columns (the number of times each score appears).

02

(b) Measurement classes

There are13 classes, similar to some bars.

03

(c) Measurement data set of histograms

The height of each bar can count the number of measurements:

= 1 + 3 + 2 + 3 + 4 + 7 + 11 + 6 + 2 + 3 + 3 + 2 + 1 + 1\hfill= 49

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Software millionaires and birthdays. Refer to Exercise 11.23 (p. 655) and the study of software millionaires and their birthdays. The data are reproduced on p. 663.

a. Find SSE s2and s for the simple linear regression model relating the number (y) of software millionaire birthdays in a decade to the total number (x) of U.S. births.

b. Find SSE s2and s for the simple linear regression model relating the number (y) of software millionaire birthdays in a decade to the number (x) of CEO birthdays.

c. Which of the two models' fit will have smaller errors of prediction? Why?

Decade

Total U.S. Births (millions)

Number of Software Millionaire Birthdays

Number of CEO Birthdays (in a random sample of 70 companies from the Fortune 500 list)

1920

28.582

3

2

1930

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1

2

1940

31.666

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1950

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14

38

1960

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9

1970

33.309

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