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ivolga24 [154]
3 years ago
11

QUESTION 2 Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the cost

s can be explained in large part by the number of customers patron­izing the stores. Monthly data regarding customer visits and costs for the preceding year for one of the stores have been entered into the regression analysis and the analysis is as follows: Average monthly customer-visits 1,462 Average monthly total costs $4,629 Regression Results Intercept $1,496 b coefficient $2.08 R2 0.86814In a regression equation expressed as y = a + bx, how is the letter b best described? (CMA adapted)
Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Answer:

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

Step-by-step explanation:

How is the letter b best described?

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

To give an example, the regression equation in the question is expressed as:

y = a + bx ............................ (1)

Where;

y = the costs of the stores = ?

a = Intercept = $1,496

b = coefficient = $2.08

x = the number of customers patron­izing the stores = ?

Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:

y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08

Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:

y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16

The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:

Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.

This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

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dolphi86 [110]

Answer:

7 and 13

Step-by-step explanation:

let the 2 numbers be x and y , x > y , then

x = y + 6 → (1)

\frac{1}{4} (x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )

x + y = 4y - 8 ( subtract 4y from both sides )

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Substitute x = y + 6 into (2)

y + 6 - 3y = - 8

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- 2y = - 14 ( divide both sides by - 2 )

y = 7

Substitute y = 7 into (1)

x = 7 + 6 = 13

The 2 numbers are 7 and 13

4 0
3 years ago
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zhenek [66]

Answer:

Step-by-step explanation:

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3 years ago
5x+13=13 is this a one soulution or not
qaws [65]

[ Answer ]

\boxed{One \ Solution}

[ Explanation ]

5x + 13 = 13

Solve Equation To Figure Out Solution(s)

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5x + 13 - 13 = 13 - 13

Simplify:

5x = 0

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\frac{5x}{5} = \frac{0}{5}

Simplify:

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X = 0. This Means, There Is One Solution To This Algebraic Equation

\boxed{[ \ Eclipsed \ ]}

5 0
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a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
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Answer:

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Step-by-step explanation:

Considering 'y' be the number

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As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

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y is equal to twice the sum of the smaller number and 1.

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y = 2x + 1

so the system of equations become

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solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

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Answer:

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Step-by-step explanation:

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P = 9x + 22

I hope this helps! God bless

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