Question
A store manager wishes to find out whether there is a relationship between the age of...
A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample follow. Test the hypothesis at α =0.05. Use Table I.
| Age, x | 18 | 26 | 39 | 48 | 53 | 58 |
| Days, y | 16 | 12 | 9 | 5 | 6 | 2 |
Find the correlation coefficient (r).
| a. |
-0.979 |
|
| b. |
0.979 |
|
| c. |
0.911 |
|
| d. |
-0.911 |
he critical values are:
| a. |
±0.811 |
|
| b. |
±0.878 |
|
| c. |
±0.754 |
|
| d. |
±0.707 |
When x is equal to 47 years, y' is equal to:
| a. |
At α = 0.05, r is not significant and the regression line should not be computed. |
|
| b. |
Approximately 4 days. |
|
| c. |
Approximately 6 days. |
|
| d. |
Approximately 8 days. |
Homework Answers
Answer #1
Solution :
| X | Y | XY | X^2 | Y^2 |
| 18 | 16 | 288 | 324 | 256 |
| 26 | 12 | 312 | 676 | 144 |
| 39 | 9 | 351 | 1521 | 81 |
| 48 | 5 | 240 | 2304 | 25 |
| 53 | 6 | 318 | 2809 | 36 |
| 58 | 2 | 116 | 3364 | 4 |
| n | 6 |
| sum(XY) | 1625.00 |
| sum(X) | 242.00 |
| sum(Y) | 50.00 |
| sum(X^2) | 10998.00 |
| sum(Y^2) | 546.00 |
| Numerator | -2350.00 |
| Denominator | 2400.21 |
| r | -0.9791 |
| r square | 0.9586 |
| Xbar(mean) | 40.3333 |
| Ybar(mean) | 8.3333 |
| SD(X) | 14.3604 |
| SD(Y) | 4.6428 |
| b | -0.3165 |
| a | 21.100 |
Correlation coefficient = r = -0.979
Critical values are = +/-0.811
x = 47 then 
is equal to
= 21 - 0.3165 * 47
= 6.1245
Approximately 6 days
Not the answer you're looking for?
Similar Questions
A manager wishes to find out whether there is a relationship between the number of radio...
A manager wishes to find out whether there is a relationship
between the number of radio ads aired per week and the amount of
sales (in thousands of dollars) of a product. The data for the
sample follow.
# of ads, x
2
5
8
8
10
12
Sales, y
$2
$4
$7
$6
$9
$10
1. The alternative hypothesis would be:
2. The test is 2-tailed and the degrees of freedom are 4.
True
False
3. If α =...
A baseball manager wishes to find out if there is a relationship between the number of...
A baseball manager wishes to find out if there is a relationship
between the number of homeruns and the number of strikeouts in a
season by batters. The data for the sample are shown:
Homeruns, x: 23 62 10 51 38
Strikeouts, y: 61 175 40 129 124
a) Compute the value of the correlation coefficient.
b) Find the equation of the regression line.
c) Find y’ (the number of strikeouts) when x = 28. (someone hits
28 homeruns)
A manager wishes to find out whether there is a relationship between the number of radio...
A manager wishes to find out whether there is a relationship
between the number of radio ads aired per week and the amount of
sales of a product. The data for the sample follows.
# of ads (x)
2
5
8
8
10
12
Sales (y)
$2,000
$4,000
$7,000
$6,000
$9,000
$10,000
If the equation of the regression line is y = a + bx, then the
value for "a" is:
Round to whole number.
A trainer wishes to find out if there is a relationship between the number of 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).
A sample of 90 women is obtained, and their heights (in inches) and pulse rates (in...
A sample of 90 women is obtained, and their heights (in
inches) and pulse rates (in beats per minute) are measured. The
linear correlation coefficient is 0.285 and the equation of the
regression line is ModifyingAbove y with = 17.6 + 0.930 x, where x
represents height. The mean of the 90 heights is 63.4 in and the
mean of the 90 pulse rates is 75.7 beats per minute. Find the best
predicted pulse rate of a woman who is...
A study was done to look at the relationship between number of vacation days employees take...
A study was done to look at the relationship between number of
vacation days employees take each year and the number of sick days
they take each year. The results of the survey are shown below.
Vacation Days
0
1
4
9
13
13
15
1
6
9
Sick Days
9
12
10
5
5
1
0
6
4
6
Find the correlation coefficient: r=r= Round
to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:? r μ...
A manager wishes to determine the relationship between the number of miles (in hundreds of miles)...
A manager wishes to determine the relationship between the
number of miles (in hundreds of miles) the manager's sales
representatives travel per month and the amount of sales (in
thousands of dollars) per month. For the given data calculate the
following: X=miles travelled 5 6 12 10 11 15 6 y=sales 31 32 70 61
64 60 45
a) Correlation coefficient
b) Equation of regression line
c) Find the value of sales when they travelled is 7 miles.
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
x y
2 4
4 8
6 12
6 12
7 20
Data set
x
22
44
66
66
77
y
44
88
1212
1212
2020
Critical Values for Correlation Coefficient
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10...
A business manager wanted to know if there was a relationship between daily temperature measured in...
A business manager wanted to know if there was a relationship
between daily temperature measured in degrees Fahrenheit and number
of employees who called-in sick each day. He collected the
following data over 10 days:
Daily Temperature: 64 60 67 63 60 64 72 66 60 69
# Called-in Sick: 33 32 30 37 34 28 31 27 31 26
a. Find the value of the correlation coefficient (r) for Daily
Temperature and # Called-in Sick.
b. What does the...
A baseball analyst is looking to see if there is a relationship between a team's payroll...
A baseball analyst is looking to see if there is a relationship
between a team's payroll (in millions
of dollars) and the number of losses the team had during the
season. Six randomly selected teams are
shown. Using c = .01, test for correlation between the variables.
E
Team Payroll (X)
143
140
81
64
192
164
Losses (Y)
67
75
93
82
75
58
XY
X2
Y2
a) State the hypotheses for this test:
b) Find the critical value...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 17 minutes ago
asked 21 minutes ago
asked 21 minutes ago
asked 21 minutes ago
asked 22 minutes ago
asked 40 minutes ago
asked 48 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago