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Katen [24]
3 years ago
8

Suppose the linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising. If x represents the do

llars spent in advertising, and y represents the company sales in dollars, about how much can the company expect in sales if it spends $50 in advertising?
Mathematics
1 answer:
hoa [83]3 years ago
4 0
We have here a simple linear regression since it involves 1 dependent variable and 1 independent variable. Linear regression is used to present the relationship between variables. In the problem, given the equation y = 2.1x + 130, we are looking for the amount  the company expect in sales if it spends $50 in advertising? We will have a direct substitution on the given equation using x = $50.The answer will be $235  - it is the expected sales at $50 spent on advertising .
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Evaluate Each Expression. (Show Your Work.)
Anna11 [10]

Answer:

1. 8^2

2. 3^4

3. 5^3

Step-by-step explanation:

1)8×8 = 64

2)3×3×3×3=81

3)5×5×5=125

3 0
3 years ago
Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu
san4es73 [151]

Answer:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀  =  37 %         P₀  = 0,37

sample size  =  n  =  100

P sample proportion   =   P  = 47 %        P  =  0,47

confidence interval  95 %

α  =   0,05  

One tail-test  (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀      null hypothesis                        P₀  =  0,37

Hₐ  alternative hypothesis                P₀  >  0,37

2.-Confidence interval 95 %

α  =   0,05        and    z(c)  =  1.64

3.-Compute of z(s)

z(s)  =  [  P  -  P₀  ]  /√(P₀Q₀/n) ]  

z(s)  =  [ (  0,47  -  0,37  ) /  √0.37*0,63/100

z(s)  = 0,1 /√0,2331/100     ⇒   z(s)  = 0,1 /0,048

z(s)  = 2.08

4.-Compare  z(s)   and  z(c)

z(s) > z(c)        2.08  > 1.64

5.-Decision:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

5 0
3 years ago
What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?
NeX [460]

Answer:

The answer to your question is 10240 mm³

Step-by-step explanation:

Data

length of the base = 32 mm

length of the height = 34 mm

Formula

Volume of a pyramid = 1/3 x Area of the base x length of the height

Process

1.- Calculate the area of the base

Area = side x side

        = 32 x 32

        = 1024 mm²

2.- Find the height of the pyramid using the Pythagorean theorem

height² = 34² - 16²

height² = 1156 - 256

height² = 900

height = 30

3.- Calculate the volume of the pyramid

Volume = 1/3Area x height

             = 1/3(1024 x 30)

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             = 10240 mm³

5 0
3 years ago
Evaluate the following expression when x = 4 and y = 5:
astraxan [27]
It is d hope it is correct

7 0
3 years ago
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The conservation club has 32 members. There are 18 girls in the club.
leva [86]

Answer: 9/7

Step-by-step explanation:

Girls = 18

Total = 32

32-18 = 14

18/14 simplify

= 9/7 (B)

8 0
3 years ago
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