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Aleksandr [31]
3 years ago
5

What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?

Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

residual cost = $24.57

Step-by-step explanation:

The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict cost in dollars per barrel of jet fuel  from the cost , in dollars ,per barrel of crude oil. The residual value is the difference between the observed or measured value and the predicted value of  the regression model . The predicted value is gotten from the regression equation.

y = 2 + 6/7 x

where

x = cost of a barrel of crude oil

x = $60

y = 2 + 6/7 × 60

y = 2 + 360/7

y = 2 + 51.4285714286

y = 53.4285714286

y = $53. 43

predicted cost = $53. 43

Measured cost  = $78

residual = observed value - predicted value

residual = 78 - 53.43

residual cost = $24.57

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In a metal fabrication​ process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n
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Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, \bar{x} = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314  

14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)  

is the required confidence interval for the true mean length of rods.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

Isabelle has $1520 in her bank account and she makes automatic $760 monthly payments on a home loan.

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3 years ago
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Please help!!!!!!!!! ​
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