Question
In: Statistics and Probability
7. The following data represent the number of workdays absent during the past year, y, and...
7. The following data represent the number of workdays absent during the past year, y, and the number of years employed by the company x, for seven employees randomly selected from a large company. Assume data is normally distributed.
Y 2 0 5 6 4 9 2
X 7 8 2 3 5 3 7
The slope estimate (b1) was found to be = -1.09 That is:
b 1= nExy - (Ex) (EY)
---------------------------- = - 1.09
nEx2 - (EX)2
a) Using appropriate statistical techniques and the above-added information, find the least squares estimate of the regression equation. i. e. What is the linear regression equation?
b) Using the proper (hypothesis) statistical test, support or refute the assumption above, i.e. there is a linear relationship between years employed and absenteeism. [
Note: S(b) = 0.28425
Solutions
orchestra answered 1 year agoRelated Solutions
The following data represent the number of days absent (x) and the final grade (y) for...
The following data represent the number of days absent (x) and
the final grade (y) for a sample of college students in a
statistics course at a large university.
Number of absences (x):
0
1
2
3
4
5
6
7
8 9
Final grade
(y):
89.2 86.4 83.5
81.1 78.2 73.9
64.3 71.8 65.5 66.2
Draw a scatter diagram on graph paper. The number of days
absent is the explanatory variable and the final grade is the
response variable....
The following data represent the number of days absent (x) and the final grade (y) for...
The following data represent the number of days absent (x) and
the final grade (y) for a sample of college students in a
statistics course at a large university.
Number of absences (x): 0 1 2 3 4 5 6 7 8 9
Final grade (y): 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5
66.2
a) Draw a scatter diagram on graph paper. The number of days
absent is the explanatory variable and the final grade is the
response...
The following data represent the number of days absent per year in a population of six...
The following data represent the number of days absent per year
in a population of six employees in a small company: 1 3 6 7 9
10
a. Compute the population mean.
b. Compute the population standard deviation.
c. Assuming that you sample without replacement, select all
possible samples of size n=2 and construct the sampling
distribution of the mean.
d. Compute the mean of all the sample means. How does the mean
of the sample means and the population...
The data below represent the number of days absent, x, and the final grade, y, for...
The data below represent the number of days absent, x, and the
final grade, y, for a sample of college students at a large
university. Complete parts (a) through (e) below.
Number of absences, x
Final grade, y
0
88.5
1
85.6
2
82.5
3
79.9
4
76.9
5
72.4
6
62.6
7
67.1
8
64.1
9
61.1
(a) Find the least-squares regression line treating the number
of absences, x, as the explanatory variable and the final grade,
y, as...
The data below represent the number of days absent, x, and the final grade, y, for...
The data below represent the number of days absent, x, and the
final grade, y, for a sample of college students at a large
university. Complete parts (a) through (e) below.
No. of absences, x
00
11
22
33
44
55
66
77
88
99
Final grade, y
88.188.1
85.285.2
82.282.2
79.879.8
76.876.8
72.372.3
62.862.8
67.267.2
64.364.3
61.461.4
(a) Find the least-squares regression line treating the number
of absences, x, as the explanatory variable and the final grade,
y, as...
The data below represent the number of days absent, x, and the final grade, y, for...
The data below represent the number of days absent, x, and the
final grade, y, for a sample of college students at a large
university. Complete parts (a) through (e) below.
0
1
2
3
4
5
6
7
8
9
89.0
86.1
83.0
80.5
77.4
73.0
63.3
67.8
64.8
61.8
(a) Find the least-squares regression line treating the number
of absences, x, as the explanatory variable and the final grade,
y, as the response variable.
(b) Interpret the slope...
The accompanying data represent the number of days absent, x, and the final exam score, y,...
The accompanying
data represent the number of days absent, x, and the final exam
score, y, for a sample of college students in a general education
course at a large state university. Complete parts (a) through (e)
below.
Click
the icon to view the absence count and final exam score
data.
Absences and Final
Exam Scores
No. of
absences, x
0
1
2
3
4
5
6
7
8
9
Final
exam
score,
y
88.3
87.3
84.2
80.9
77.6
73.8...
The following data represent the number of touchdown passes thrown by a particular quarterback during his...
The following data represent the number of touchdown passes
thrown by a particular quarterback during his first 18 seasons.
Verify that Chebyshev's Theorem holds true by determining the
percent of observations that fall within
plus or minus±one,
two, and three standard deviations from the mean.
00
1919
1616
3333
4040
3737
3131
3333
2222
2020
3434
2727
3434
3232
1717
1919
2929
2525
What is the mean of the data set?
x overbar=
(Type an integer or decimal rounded to...
The following data represent Aggregate Consumption (Y) and Disposable Income (X) for one country. Year Y...
The following data represent Aggregate Consumption (Y) and
Disposable Income (X) for one country.
Year Y X
1993 102 114
1994 105 118
1995 109 126
1996 110 130
1997 121 134
1998 125 140
a. Develop the least squares estimated regression equation.
b. Find coefficient of correlation and coefficient of
covariance
1. T The following data represents the number of days absent from school in one school...
1. T The following data represents the
number of days absent from school in one school year for a sample
of 40 students in Ms. Jinn’s fourth grade class.
0
1
2
2
2
4
5
5
7
7
7
7
8
8
8
8
8
8
10 10
12
12 12
13
14
...
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