Question

The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 2 employees were assigned to assemble the subassemblies. They produced 11 during a one-hour period. Then 4 employees assembled them. They produced 18 during a one-hour period. The complete set of paired observations follows.

Number
of Assemblers |
One-Hour Production (units) |

2 | 11 |

4 | 18 |

1 | 7 |

5 | 29 |

3 | 20 |

The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.

Compute the coefficient of correlation.

X | Y | (x- x̄ ) | (y- ȳ ) | (x-
x̄)^{2} |
(y-ȳ
)^{2} |
(x-x̄ )(y- ȳ) |

2 | 11 | -6 | 36 | |||

4 | 18 | 1 | 1 | 1 | ||

1 | 7 | -10 | 100 | |||

5 | 29 | 2 | 4 | 24 | ||

3 | 20 | 3 | 0 | 0 | ||

x̄=_______ ȳ=________ Sx=_________

Sy=_______ r=__________

Answer #1

*X Values*

∑ = 15

Mean = 3

∑(X - M_{x})^{2} = SS_{x} = 10

*Y Values*

∑ = 85

Mean = 17

∑(Y - M_{y})^{2} = SS_{y} = 290

*X and Y Combined*

*N* = 5

∑(X - M_{x})(Y - M_{y}) = 51

*R Calculation*

r = ∑((X - M_{y})(Y - M_{x})) /
√((SS_{x})(SS_{y}))

r = 51 / √((10)(290)) = 0.947

The production department of Celltronics International wants
to explore the relationship between the number of employees who
assemble a subassembly and the number produced. As an experiment,
two employees were assigned to assemble the parts. They produced 15
during a one-hour period. Then, four employees assembled them. They
produced 25 during a one-hour period. The complete set of paired
observations follows:
Number of Assemblers
One-Hour Production (units)
2
15
4
25
1
10
5
40
3
30
Required:
a. Determine...

A large city hospital conducted a study to investigate the
relationship between the number of unauthorized days that employees
are absent per year and the distance (miles) between home and work
for the employees. A sample of 10 employees was selected and the
following data were collected.
Distance in Miles, Number of days absent
1, 8
3, 5
4, 8
6, 7
8 ,6
10, 3
12, 5
14, 2
14, 4
18, 2
If required, enter negative values...

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...

ilson Products Incorporated is interested in the relationship
between number of sales calls (x) made by their sales reps and the
number of products sold (y). A random sample of 10 sales reps
showed the following calls and sales over a one-month period. (1.)
Build the regression equation for this data set. (2.) Predict the
amount of product sold if 11 sales calls are made.
x y
Sales Calls Products Sold
12 9 Given:
9 7 r = .904
14...

A random sample of 11 technicians produced the following data,
where x is the number of tasks assigned, and y is the number
incomplete tasks at the end of the first shift. The data are
presented below in the table of values.
x
y
12
2
14
4
15
5
16
5
19
9
22
8
25
11
27
16
29
14
32
14
35
18
What is the value of the slope of the regression line, m,
rounded to...

Activity-Based Department Rate Product Costing and Product Cost
Distortions
Big Sound Inc. manufactures two products: receivers and
loudspeakers. The factory overhead incurred is as
follows:
Indirect labor
$400,400
Subassembly Department
198,800
Final Assembly Department
114,800
Total
$714,000
The activity base associated with the two production departments
is direct labor hours. The indirect labor can be assigned to two
different activities as follows:
Activity
Budgeted Activity Cost
Activity Base
Setup
$138,600
Number of
setups
Quality control
261,800
Number of
inspections
Total...

A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized.
y = B0 + B1x + e
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six
highways leading out of the city.
Traffic Flow ( )
Vehicle Speed ( )
1294
40
1332
45
1300
40
1233
30
1334
45
1129
25
a. Develop an...

A juvenile probation officer is looking at the relationships
between number of prior police contacts and continued offending
among juveniles who participated in a boot camp. Use the data below
to establish hypotheses and calculate the correlation for the
relationship between number of prior police contacts and instances
of continued offending. State the decision with regard to whether
the H0 is ultimately rejected or retained.
Number of Prior Police Contacts (X)
Number of Offenses (Y)
3
3
4
6...

Person
number
X
Value
Y
Value
Person number
X
Value
Y
Value
Person number
X
Value
Y
Value
1
24
30
11
39
42
21
21
27
2
42
53
12
60
65
22
33
29
3
20
27
13
34
40
23
25
27
4
31
30
14
24
26
24
22
25
5
22
24
15
51
57
25
28
33
6
46
47
16
80
83
26
34
40
7
52
60
17
28
27
27
53...

Assume one input, one output production function which we know
very little about. But over a period of three years we see that (1)
with p = 1,w = 1 the firm choose x = 2,y = 5 (2) with p = 3,w =
0.5, the firm will choose x = 4 and y = 6 and (3)
withp=4,w=2,thefirmwillchoosex=3,y=11. Graph the isoprofit lines
associated with each pair of prices and quantity choices. Show on
your graph what we have learned...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 5 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 14 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 29 minutes ago