(Lane)

(Chapter
14)

2. The formula for a regression equation is Y’ = 2X + 9.

a. What would be the predicted score for a
person scoring 6 on X?

b. If someone’s predicted score was 14,
what was this person’s score on X?

6. For the X,Y data below, compute:

a. r and determine if it is significantly
different from zero.

b. the slope of the regression line and
test if it differs significantly from zero.

c. the 95% confidence interval for the
slope.

(Chapter 17)

5. At a school pep rally, a group of sophomore students organized a
free raffle for prizes. They claim that they put the names of all of the
students in the school in the basket and that they randomly drew 36 names out
of this basket. Of the prize winners, 6 were freshmen, 14 were sophomores, 9
were juniors, and 7 were seniors. The results do not seem that random to you.
You think it is a little fishy that sophomores organized the raffle and also
won the most prizes. Your school is composed of 30% freshmen, 25% sophomores,
25% juniors, and 20% seniors.

a. What are the expected frequencies of
winners from each class?

b. Conduct a significance test to determine
whether the winners of the prizes

were distributed throughout the classes as
would be expected based on the

percentage of students in each group.
Report your Chi Square and p values.

c. What do you conclude?

14. A geologist collects
hand-specimen sized pieces of limestone from a particular area. A qualitative
assessment of both texture and color is made with the following results. Is
there evidence of association between color and texture for these limestones?
Explain your answer.

Color

(ILLOWSKY)

(Chapter 11)

70. Decide whether the
following statement is true or false and explain your answer. “The standard
deviation of the chi-square distribution is twice the mean.”

102. Do men and women
select different breakfasts? The breakfasts ordered by randomly selected men and
women at a popular breakfast place is shown in Table 11.55. Conduct a test for
homogeneity at a 5% level of significance.

Table 11.55

Use the following information to answer the next two
exercises: Suppose an airline claims that its flights are consistently on time
with an average delay of at most 15 minutes. It claims that the average delay
is so consistent that the variance is no more than 150 minutes. Doubting the consistency
part of the claim, a disgruntled traveler calculates the delays for his next 25
flights. The average delay for those 25 flights is 22 minutes with a standard
deviation of 15 minutes.

113.df = ________

117.Let ? = 0.05

Decision: ________

Conclusion (write
out in a complete sentence.): ________

66.Can a coefficient of
determination be negative? Why or why not?

82. Use the
following information to answer the next exercise. The cost of a leading liquid
laundry detergent in different sizes is given in Table 12.31. Please complete
the table.

a. Using “size” as
the independent variable and “cost” as the dependent variable, draw a scatter
plot.

b. Does it appear
from inspection that there is a relationship between the variables? Why or why
not?

c. Calculate the
least-squares line. Put the equation in the form of: ? = a + bx

d. Find the
correlation coefficient. Is it significant?

e. If the laundry
detergent were sold in a 40-ounce size, find the estimated cost.

f. If the laundry
detergent were sold in a 90-ounce size, find the estimated cost.

g. Does it appear
that a line is the best way to fit the data? Why or why not?

h. Are there any
outliers in the given data?

i. Is the
least-squares line valid for predicting what a 300-ounce size of the laundry
detergent would you cost? Why

or why not?

j. What is the
slope of the least-squares (best-fit) line? Interpret the slope.

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