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 10 salespersor Years of Annual Sales Salesperson Experience ($1,000s) 1 1 80 97 4 92 4 4 102 6 103 8 111 10 119 8. 10 123 11 117 10 13 136 (a) Develop a scatter diagram for these data with years of experience as the independent variable. 150- 150 140 140 130- 130 120 110- 120 110 100 - 100 90 90 1 Sales ($1,000s) al Sales ($1,000s)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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4 6 8
10
14
4 6 8
10
12
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Years of Experience
Years of Experience
150
150
140
140
130
130
120
120
110
110
100
100
90
90
sca80 tiagram has 10 points plotted on it. The horizontal
is ra0es from 0 to 14 and is labeled: Years of Experience.
he vetdelaxis ranges from 50 to 150 and is labeled: Annual
Sales ($1000s). The poipts are plotted from left to right in an
upward, diagonal, directign starting frog the Iqyer left
80
70
60
4 6
8
10
12
14
axis
and between 80 to 140Pears of Experience
fairly close together.
points are
Years of Experience
(b) Develop an estimated regression equation that can be used to predict annual sales (in $1,000s) given the years of experience.
(c) Use the estimated regression equation to predict annual sales (in $1,000s) for a salesperson with 9 years of experience.
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thousand
Annual Sales ($1,000s)
Annual Sales ($1,000s)
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Years of
Annual Sales
Salesperson
Experience
($1,000s)
1
80
2
97
3
4
92
102
6
103
6
8
111
7
10
119
8
10
123
9
11
117
10
13
136
(a) Develop a scatter diagram for these data with years of experience as the independent variable.
150-
150
140
140-
130-
130
120
120-
110
110-
100 -
100
90
90-
80 -
80"
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