Question
In: Statistics and Probability
A sales manager collected the following data on x = years of experience and y =...
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=
(b)
Compute the coefficient of determination
r2.
(Round your answer to three decimal places.)
r2
=
(c)
What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)
Solutions
Expert Solution
The statistical software output for this problem is :
(a)
SST = 2642
SSR = 2272
SSE = 370
(b)
r square = 0.860
(c)
sample correlation coefficient = 0.927
orchestra answered 2 years agoRelated Solutions
A sales manager collected the following data on x = years of experience and y =...
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 = 83 + 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
116
7
10
119
8
10
123
9
11
127
10
13
136
(a)
Compute SST, SSR, and SSE.
SST=SSR=SSE=
(b)
Compute the coefficient...
A sales manager collected the following data on annual sales for new customer accounts and the...
A sales manager collected the following data on annual sales for
new customer accounts and the number of years of experience for a
sample of salespersons.
Salesperson
Years of
Experience
Annual Sales
($1000s)
1
1
80
2
3
76
3
4
72
4
6
77
5
8
92
6
8
109
7
9
126
8
9
122
9
10
124
10
11
120
The data on annual sales for new customer
accounts and number of years of experience for a sample
of salespersons provided the...
A sales manager collected the following data on annual sales for new customer accounts and the...
A sales manager collected the following data on annual sales for
new customer accounts and the number of years of experience for a
sample of salespersons. Salesperson Years of Experience Annual
Sales ($1000s)
1 1 80
2 2 100
3 3 106
4 4 105
5 6 111
6 8 120
7 9 121
8 11 116
9 13 136
10 14 142
The data y= on annual sales($1000s) for new customer accounts
and x= number of years of experience...
The following rate data was collected for a reaction X + Y -> Products Exp. ...
The following rate data was collected for a reaction X + Y ->
Products
Exp.
[X]
[Y]
Rate of formation of a product
1
0.23
M
0.17
M
0.33
M/h
2
0.46
M
0.17
M
0.66 M/h
3
0.23
M
0.51
M
0.99 M/h
a. Determine the orders with respect to the two reactants and
write the rate law for the reaction
b. Calculate the value...
Suppose that a researcher collected the following set of data on years of education (X) and...
Suppose that a researcher collected the following set of data
on years of education (X) and number of children (Y) for a sample
of married adults:
X
Y
12
2
14
1
17
0
10
3
8
5
9
3
12
4
14
2
18
0
16
2
Draw a scatter plot of the data.
Write out the regression equation, then calculate and
interpret the meaning of...
Given the following pairs of data where x is the number of years of experience in...
Given the following pairs of data where x is the number of years
of experience in a certain company and y is the annual salary:
Determine the equation of the linear regression line. Round the
slope and y-intercept to the nearest integers.
Using your answer in (a), estimate the starting salary for a new
hire.
Using your answer in (a), estimate the number of years (to the
nearest year) an employee would have to work in the company in
order...
Suppose the following data were collected relating CEO salary to years of experience and gender. Use...
Suppose the following data were collected relating CEO salary to
years of experience and gender. Use statistical software to find
the regression equation. Is there enough evidence to support the
claim that on average female CEOs have higher salaries than male
CEOs at the 0.01 level of significance? If yes, type the regression
equation in the spaces provided with answers rounded to two decimal
places. Else, select "There is not enough evidence."
Salary
Experience
Female (1 if female, 0 if...
Suppose the following data were collected relating CEO salary to years of experience and gender. Use...
Suppose the following data were collected relating CEO salary to
years of experience and gender. Use statistical software to find
the regression equation. Is there enough evidence to support the
claim that on average male CEOs have higher salaries than female
CEOs at the 0.010.01 level of significance? If yes, type the
regression equation in the spaces provided with answers rounded to
two decimal places. Else, select "There is not enough
evidence."
Copy Data
CEO Salaries
Salary
Experience
Male (1...
Suppose the following data were collected relating CEO salary to years of experience and gender. Use...
Suppose the following data were collected relating CEO salary to
years of experience and gender. Use statistical software to find
the regression equation. Is there enough evidence to support the
claim that on average male CEOs have higher salaries than female
CEOs at the 0.050.05 level of significance? If yes, type the
regression equation in the spaces provided with answers rounded to
two decimal places. Else, select "There is not enough
evidence."
Copy Data
CEO Salaries
Salary
Experience
Male (1...
A sales manager collected data on annual sales for new customer accounts and the number of...
A sales manager collected data on annual sales for new customer
accounts and the number of years of experience for a sample of 10
salespersons. In the Microsoft Excel Online file below you will
find a sample of data on years of experience of the salesperson and
annual sales. Conduct a regression analysis to explore the
relationship between these two variables and then answer the
following questions.
Salesperson
Years of Experience
Annual Sales ($1000s)
1
3
79
2
4
92...
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