In: Statistics and Probability

manager wishes to determine the relationship between the number
of miles traveled (**in hundreds of miles**) by her
sales representatives and their amount of sales (in
**thousands of dollars**) per month. Complete the
linear regression test below in order to predict the amount of
sales if the sales representative traveled 1,300 miles?

- By visual observation of the scatter plot, does the data appear linear?

- Null Hypothesis:

- Alternative Hypothesis:

- What is the value of r?

- What are the critical values for r?

- Is there sufficient evidence to support a claim of a linear correlation between the two variables? Why or why not? Explain why you rejected or failed to reject the null.

- If there is a correlation, what is the regression equation?

- What is your best prediction of the number of sales made by a sales person who traveled 1,300 miles?

A trainer wishes to find out if there is a relationship between
the number of miles walked per week and the weight of a person. The
data for the sample are shown:
Miles Walked, x: 15 20 3 12 17 8
Weight (lbs.), y: 147 106 210 160 122 165
a) Compute the value of the correlation coefficient.
b) Find the equation of the regression line.
c) Find y’ (the weight) when x = 11. (Someone walks 11
miles).

The ministry of Health wishes to determine if there is a
relationship between the number of cigarettes smoked daily and life
time health care costs The result of six sample smokers is recorded
below.
Number of Cigarettes
Health Costs (in thousands$)
30
43
40
45
50
54
60
53
70
56
80
63
Calculate the correlation coefficient
Test is the correlation coefficient is different from zero (.01
level)
Create the Ordinary Least Squares regression line
Discuss the assumptions that you...

An environmentalist wants to determine the relationship between the number of fires, in thousands, and the number of acres burned, in hundreds of thousands. Based on this data, decide if the correlation is significant at alpha = 0.05.
Number of fires x
73
74
58
48
80
65
54
49
Number of acres burned y
64
46
22
23
51
12
29
10
1. Draw a scatter plot of the data.
2. Showing all work calculate r.
3. Showing...

A researcher wishes to determine whether there is a relationship
between the Campus at which SACAP students are based and their
statistics anxiety level. The results of the subsequent survey are
given in the following table:
Statistics anxiety level
Campus
Low
Medium
High
Total
Online
13
30
67
Cape Town
58
70
22
Johannesburg
26
34
30
Total
Perform an appropriate hypothesis test at α = 0.01. If a
significant result is obtained, determine the strength of the
relationship. Show...

A researcher wishes to determine whether there is a significant
relationship between the gender of psychology students and the
refreshment drink they prefer. The results obtained from a survey
of students are presented in the following table: Preferred Drink
Gender Water Coffee Soda Total Male 46 29 40 115 Female 29 36 70
135 Total 75 65 110 250.
Perform an appropriate two-tailed hypothesis test at α = 0.05.
If a significant result is obtained, determine the strength of the...

Following are the number of miles traveled for 30 randomly
selected business flights within the United States during 1999.
1095, 925, 1656, 1605, 1503, 1928, 2030, 1418, 500, 1248,
2047, 1027, 1962, 1027, 1197, 1928, 874, 1367, 1129, 1401,
874, 602, 1503, 1469, 636, 1503, 925, 1384, 874, 704
a) Use the data to obtain a point estimate for the population
mean number of miles traveled per business flight, μ, in
1999.
Note: The sum of the data is 38341....

An emergency service wishes to determine whether a relationship
exists
between the outside temperature and the number of emergency calls
it receives
for a 7-hour period. The data are shown. (25 points)
Temperature x 25 10 27 30 33
No. of calls y 7 4 8 10 11
a) Find the correlation coefficient r (If you use any software or
online calculator, please
take the screenshot. You will get extra points if you do by
hand.)
b) Find the regression...

A sales manager for an advertising agency believes there is a
relationship between the number of contacts and the amount of the
sales. To verify this belief, the following data was collected: For
each sales contact a particular person makes, the amount of sales
is expected to: Select one: a. Decrease by 2.195 thousand units b.
Increase by 2.195 thousand units c. Decrease by 12.201 thousand
units d. Increase by 12.201 thousand units

An automotive sales manager wishes to examine the relationship
between age (years) and sales price ($) for a certain model of
used automobile. The accompanying data table contains data for a
sample of this model of automobile that were listed for sale at a
car shopping website. Perform a square-root transformation of the
dependent variable (price). Using the transformed dependent
variable and the age as the independent variable, perform a
regression analysis.
Age
Price ($)
13
3501
13
5378
13...

The manager of a telemarketing call centre wishes to determine
whether an association exists between the communicating time of its
employees and the level of stress-related problems observed on the
job. A study of 100 employees reveals the following:
stress
stress
stress
Commuting time
(High)
(Moderate)
(low)
20 mins and under
15
12
33
over 20 mins
25
8
7
At the 5% level of significance, is there evidence of a
significant relationship between commuting time and stress?

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