Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives at Furniture Patch Inc.$4.0 $6.0 $7.4 $10.6 $12.5 $13.6 $15.4 $15.8 $16.8
$17.4 $19.1 $22.3 $37.1 $43.2 $81.4
a. Determine the mean, median, and the standard deviation. (Round your answers to 2 decimal places.)
Mean $
Median $
Standard deviation $
b. Determine the coefficient of skewness using Pearson

Answers

Answer 1
Answer:

Answer:

Mean= $21.5067

Median = $15.8

Standard deviation= $19.02

Coefficient of skewness= $0.8991

Step-by-step explanation:

Mean =( $4.0 +$6.0 +$7.4+ $10.6 +$12.5+ $13.6+ $15.4+ $15.8 +$16.8

+$17.4+ $19.1 +$22.3+ $37.1 +$43.2 +$81.4)/15

Mean =$ 322.6/15

Mean= $21.5067

Median= middle number

Median = $15.8

Variance=( ($4.0-.$21.5)²+( $6.0. -.$21.5)²+( $7.4 -.$21.5)²+( $10.6 -.$21.5)²+( $12.5 -.$21.5)²+( $13.6. -.$21.5)²+ ($15.4 -.$21.5)²+( $15.8 -.$21.5)²+ ( $16.8 -.$21.5)²+ ($17.4-.$21.5)² +($19.1 -.$21.5)²+ ($22.3 -.$21.5)²+ ($37.1 -.$21.5)²+ ($43.2-.$21.5)²+( $81.4-.$21.5)²)/15

Variance=$ 5424.79/15

Variance=$ 361.65

Standard deviation= √ variance

Standard deviation= √361.65

Standard deviation= $19.02

Coefficient of skewness

=3( mean-median)/standard deviation

= 3(21.5-15.8)/19.02

= 3(5.7)/19.02

= 17.1/19.02

Coefficient of skewness= 0.8991


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A box of cereal weighs 0.75 pounds. how many ounces are in 0.75 pounds? (1 lb = 16oz)

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Answers

Answer:

I:40,ii:65,iii:75,iv:40,v:75,vi:15

Step-by-step explanation:

75+65+i=180

140+i=180

i=180-140

i=40

i=iv=40(alternative angle)

65+40+v=180(straight line angle)

105+v=180

v=180-105

v=75

v=iii=75(alternative angle)

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vi=180-165

vi=15

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ii=180-115

ii=65

For a set of data, x is the explanatory variable. Its mean is 8.2, and its standard deviation is 1.92. For the same set of data, y is the response variable. Its mean is 13.8, and its standard deviation is 3.03. The correlation was found to be 0.223.Select the correct slope and y-intercept for the least-squares line.
a. Slope = -0.35
y-intercept = -10.9
b. Slope = -0.35
y-intercept = 10.9
c. Slope = 0.35
y-intercept = -10.9
d. Slope = 0.35
y-intercept = 10.9

Answers

Slope & Intercept are : D) 0.35 , 10.9

Regression is the relationship between explanatory (independent) & dependent variable, which are x & y respectively.

The regression equation y = a + bx + c has intercept & slope a & b respectively , formula for finding them are as follows :

b = r ( σy / σ x )

0.223 ( 3.03 / 1.92 )

= 0.223 (1.578125)

= 0.3519

a = Y' - bX'

a = 13.8 - 0.3519 ( 8.2 )

= 13.8 - 2.8558

= 10.91

Regression Equation : y = 10.9 + 0.35x

To learn more, refer brainly.com/question/7656407?referrer=searchResults

Answer:

d. Slope = 0.35

y-intercept = 10.9

Step-by-step explanation:

The computation is shown below:

Data given in the question

Mean \bar X = 8.2

The standard deviation  of x = \sigma = 1.92

Mean \bar Y = 13.8

The standard deviation  of y = \sigma = 3.03

The correlation = r = 0.223

Based on the above information,

As we know that

The slope is

b = r (\sigma y )/(\sigma x) \n\n = (0.223) ((3.03)/(1.92) \n\n = (0.223) (1.578125)

= 0.3519

Now the y-intercept is

a = \bar Y - b \bar X \n\n

= 13.8  - (0.351922) 8.2

= 13.8 - 2.88579

= 10.91

NEED THIS QUESTION ASAP!

Answers

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Step-by-step explanation:

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Answers

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