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Business Statistics — Quiz Answers

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1
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Graph the scatterplot made from the data.

Answer:

point; 7; 10; 14; 18; 21; 22; 28; 20; 35

2
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Which statement about the data is true?

A
There is no observable trend or relationship between the number of retention programs and turnover rates.
B
Increasing retention programs consistently results in higher turnover rates.
C
As the number of retention programs increases, turnover rates initially decrease but stabilize after a certain point.
D
The number of retention programs has a clear linear relationship with decreasing turnover rates.
3

Which statement about the scatterplot is true?

A
More money spent on research and development guarantees better innovation outcomes consistently.
B
The relationship between research and development spending and innovation output could be more consistent and predictable.
C
Investing more in research and development initially increases innovation, but more investment yields less return after a certain point.
D
Decreasing the amount spent on research and development improves innovation outcomes.
4

Which statement about the scatterplot is true?

A
Increasing office space per employee initially increases satisfaction, but too much space lowers it after a certain point.
B
There's no consistent trend showing how changes in office space per employee affect satisfaction levels.
C
More office space per employee always results in higher employee satisfaction.
D
Reducing the amount of office space per employee leads to greater satisfaction.
5

Graph the scatterplot made from the data.

Answer:

point; 15; 25; 30; 45; 50; 60; 40; 75; 20

6

Which statement about the scatterplot is true?

A
When employees train more, they get more done at first, but this does not increase productivity after a while.
B
There's no real connection between how many hours employees train and their productivity.
C
The more training hours employees receive, the more productive they become.
D
The fewer employees' training hours, the more productive they are.
7

Using a regression calculator, which quadratic equation best models the relationship between the number of bug fixes and development time?

A
y=0.0146⁢x2−4.782⁢x+71.5
B
y=0.1464⁢x2−4.782⁢x+71.5
C
y=−0.1464⁢x2+4.782⁢x+71.5
D
y=−0.1464⁢x2−4.782⁢x+75.5
8

Graph the scatterplot made from the data.

Answer:

point; 5; 8; 10; 16; 15; 20; 18; 25

9

Graph the scatterplot made from the data.

Answer:

point; 2; 4; 5; 10; 8; 12; 11; 14; 3

10

Which statement about the scatterplot is true?

A
There is no clear pattern or correlation between marketing spend and customer acquisition.
B
Marketing spend has a direct, positive linear correlation with customer acquisition throughout the entire range of spend.
C
Higher marketing spending is associated with lower customer acquisition, suggesting a negative linear relationship.
D
As marketing spending increases, customer acquisition initially rises but begins to show diminishing returns, forming a parabolic curve.
11

What membership fee will maximize the profit, and what is the maximum profit? Round to whole dollars.

A
The maximum profit is 683 dollars when the fee is 35 dollars.
B
The maximum profit is 68 point 3 8 dollars when the fee is 35 dollars.
C
The maximum profit is 68 dollars comma 380 when the fee is 40 dollars.
D
The maximum profit is 6 dollars comma 838 when the fee is 40 dollars.
12

Graph the scatterplot made from the data.

Answer:

point; 7; 10; 14; 18; 21; 22; 28; 20; 35

13

Based on the regression equation, what is the price that maximizes earnings and the maximum earnings amount? Round to whole dollars.

A
The maximum earnings are 86 point 5 6 dollars when the price is 35 dollars.
B
The maximum earnings are 84 dollars comma 851 point 7 1 when the price is 30 dollars.
C
The maximum earnings are 84 dollars comma 851 point 7 1 when the price is 33 point 8 2 dollars.
D
The maximum earnings are 86 point 5 6 dollars when the price is 33 point 8 2 dollars.
14

Using a regression calculator, which quadratic equation best models the relationship between the number of bug fixes and development time?

A
y=0.1464⁢x2−4.782⁢x+71.5
B
y=0.0146⁢x2−4.782⁢x+71.5
C
y=−0.1464⁢x2+4.782⁢x+71.5
D
y=−0.1464⁢x2−4.782⁢x+75.5
15

Based on the regression equation, what price per cup maximizes profit, and what is the maximum profit?

A
Maximum profit is 24 dollars comma 657 when the price is 4 dollars.
B
Maximum profit is 24 dollars comma 657 when the price is 3 dollars.
C
Maximum profit is 247 dollars when the price is 4 dollars.
D
Maximum profit is 247 dollars when the price is 3 dollars.
16

Based on the regression equation, what price maximizes the number of units sold, and how many units will be sold?

A
Maximum units sold is 1 comma 248 when the price is 294 point 5 8 dollars.
B
The maximum number of units sold is 1 comma 248 when the price is 300 dollars.
C
The maximum number of units sold is 12 comma 480 when the price is 300 dollars.
D
The maximum number of units sold is 12 comma 480 when the price is 294 point 5 8 dollars.
17

Graph the scatterplot made from the data.

Answer:

point; 2; 4; 5; 10; 8; 12; 11; 14; 3

18

What is the price that maximizes revenue, and what is the maximum revenue?

A
The maximum revenue is 176 dollars comma 152 when the price is 26 point 3 7 dollars.
B
The maximum revenue is 176 dollars comma 152 when the price is 27 dollars.
C
The maximum revenue is 1 dollars comma 760 comma 152 when the price is 26 point 3 7 dollars.
D
The maximum revenue is 1 dollars comma 760 comma 152 when the price is 27 dollars.
19

Which statement about the scatterplot is true?

A
There's no real connection between how many hours employees train and their productivity.
B
The more training hours employees receive, the more productive they become.
C
When employees train more, they get more done at first, but this does not increase productivity after a while.
D
The fewer employees' training hours, the more productive they are.

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