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Reika [66]
2 years ago
12

Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w

ith x representing the ratings and y representing price, we find that the regression equation has a slope of 130 and a y-intercept of 350. Complete parts (a) and (b) below. a. What is the equation of the regression line? Select the correct choice below and fill in the answer boxes to complete your choice. O A ○ C. b. What does the symbol y represent? O A. The symbol y represents the average price of hotels in the area. O B. The symbol ý represents the amount that price increases with a 1-point increase in rating. O.The symbol y represents the predicted value of price 0 D. The symbol y represents the expected price when the hotel's rating is 0
Mathematics
1 answer:
Savatey [412]2 years ago
5 0

Answer:

a. y= 130x + 350 + \epsilon

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

y=\alpha x + \beta + \epsilon

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

\alpha = 130 y \beta = 350  Obtaining:

y= 130x + 350 + \epsilon.

b.  In a simple linear regression model the value of y-bar represents the average of all values ​​of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

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emmasim [6.3K]

The probability that fewer than 4 of then use their smart phones in meetings  or classes is 0.00030243747.

Step-by-step explanation:

Fewer than 4 means ,less than 4 which is any number less than 4 and not including 4. This is 3, 2,1 and 0. So you find the probability that exactly 3 of then use their smart phone, exactly 2 of them use their smart phones, exactly 1 of them use his/her smart phone and none of them.

Given that 52% use smartphones in meetings and classes =0.52

Thus the remaining 48% do not use smartphones in meetings and classes=0.48

For C(14,3) you will have "14 chose 3", number of ways of choosing 3 out of 14'

=(0.52)³ *(0.48)⁹=0.00019018714

For C(14,2) you will have "14 chose 2", number of ways of choosing 2 out of 14

=(0.52)²*(0.48)¹²=0.00004044841

For C(14,1) you will have "14 chose 1", number of ways of choosing 1 out of 14

=(0.52)¹*(0.48)¹³=0.000037337

For  C(14,0) you will have "14 chose 0", number of ways of choosing 0 out of 14

=(0.52)⁰*(0.48)¹⁴=1*0.00003446492=0.00003446492

The probability that fewer than 4 of them use their smartphones in meetings or classes will be

0.00019018714 +0.00004044841+0.000037337+ 0.00003446492=0.00030243747

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3 years ago
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Answer:

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Step-by-step explanation:

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Result:

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Explanation:

To find a₂₀ we use the formula

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In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above

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a₂₀ = 6 · 3 ^²⁰⁻¹

a₂₀ = 6 · 1162261467

a₂₀ = 6973568802

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