Question

At a large company, the salaries (y, in thousands of dollars) and years of experience (x) of six randomly chosen engineers are:

x (years) 6 7 9 10 13 15

y (salary) 44 41 43 45 51 49

Compute the least squares regression equation and use that equation to predict the salary (in thousands of dollars) of a new employee with 8 years of experience,

Answer #1

Annual income of staff of DebMarine (in thousands of dollars)
and years their years of experience. A
random sample of DebMarine staff Annual income and years of
experience are as follows.
Years of education (x) 3 3 5 7 5 10 7 15 7 10 5 15 5
Annual Income (000s) (y) 17 15 20 30 23 40 27 45 31 43 27 50
25
a. Which variable is the dependent variable? [2]
b. Determine the least squares estimated regression...

Sample annual salaries (in thousands of dollars) for employees
at a company are listed.
43 44 55 50 38 38 43 44 55 32 50 43 53 (a) Find the
sample mean and sample standard deviation. (b) Each employee in
the sample is given a $5,000 raise. Find the sample mean and
sample standard deviation for the revised data set. (c) Each
employee in the sample takes a pay cut of $3,000 from their
original salary. Find the sample mean...

The table below lists the earnings (in thousands of
dollars) of a random sample of 10 male and 10 female salespersons.
At alpha = 0.10 can you conclude that there is a difference between
males’ and females’ earnings?
Male
28
43
64
51
48
44
36
45
67
49
Female
36
27
51
43
35
48
41
37
34
47
The claim is “there is a difference between males’ and
females’ earnings”. Worked this by
hand!!

Homework 4 Question 2 A large school district is reevaluating
its teachers' salaries. They have decided to use regression
analysis to predict mean teacher salaries at each elementary
school. The researcher uses years of experience to predict salary.
The resulting equation was: where Y = salary and X = years of
experience. The raw data is given in the table below.
Salary Years of experience
$54,000.00 13
$42,140.00 9
$36,195.00 7
$45,000.00 9
$58,950.00 14
$56,890.00 13
$53,250.00 14
$49,800.00...

Annual salaries, in thousands of dollars, for a random sample of
chemists at the Dull Chemical Company are 38, 43, 41, 49, 52.
Assume that chemists' salaries are normally distributed.
(a) Find a 95% confidence interval estimate of the average
salary for all chemists at the Dull Chemical Company. Show your
work and calculations.
(b) A campus recruiter for Dull Chemical states to prospective
employees that the mean annual salary for chemists at Dull is =
$47,000. Is the...

A sales manager collected the following data on x =
years of experience and y = annual sales ($1,000s). The
estimated regression equation for these data is
ŷ = 82 + 4x.
Salesperson
Years of
Experience
Annual Sales
($1,000s)
1
1
80
2
3
97
3
4
102
4
4
107
5
6
103
6
8
101
7
10
119
8
10
128
9
11
127
10
13
136
(a)
Compute SST, SSR, and SSE.
SST = SSR = SSE...

An investigator developed a multiple regression model for
employee salaries at a particular company. In this multiple
regression model, the salaries are in thousands of dollars. For
example, a data entry of 35 for the dependent variable indicates a
salary of $35,000. The indicator variable for gender is coded as if
male and if female. The computer output of this multiple regression
model shows that the coefficient for this variable is -4.2. The t
test showed that was significant at...

A sociologist is interested in the relation between x = number
of job changes and y = annual salary (in thousands of dollars) for
people living in the Nashville area. A random sample of 10 people
employed in Nashville provided the following information. x (number
of job changes) 7 4 5 6 1 5 9 10 10 3 y (Salary in $1000) 38 32 34
32 32 38 43 37 40 33 Σx = 60; Σy = 359; Σx2 =...

A sociologist is interested in the relation between x =
number of job changes and y = annual salary (in thousands
of dollars) for people living in the Nashville area. A random
sample of 10 people employed in Nashville provided the following
information.
x (number of job changes)
3
5
4
6
1
5
9
10
10
3
y
(Salary in $1000)
37
32
34
32
32
38
43
37
40
33
Σx = 56; Σy = 358; Σx2 =...

Let x be per capital income in thousands of dollars. Let y be
the number of medical doctors per 10,000 residents. Six small
cities in Oregon gave the following information about x and y. x
8.9 9.5 10.5 8.0 8.3 8.7 y 9.8 18.4 21.8 10.2 11.4 13.1 Complete
parts (a) through (e), given Σx = 53.9, Σy = 84.7, Σx2 = 488.29,
Σy2 = 1315.45, Σxy = 781.11, and r ≈ 0.914. (a) Draw a scatter
diagram displaying the...

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