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lapo4ka [179]
2 years ago
6

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra

veled (miles). The fitted regression is Time = −7.126 + .0214 Distance, based on a sample of 20 shipments. The estimated standard error of the slope is 0.0053. Find the critical value for a right-tailed test to see if the slope is positive, using α = .05.
Mathematics
1 answer:
Ray Of Light [21]2 years ago
5 0

Answer:

Thus; the slope is positive

Step-by-step explanation:

Given that :

the sample size = 20

for the slope; the degree of freedom df = n - 2

= 20 -2

= 18

Using ∝ = 0.05

From t -table , one tailed, at df =18)

t_{\alpha , df}}= t_{0.05, df = 18} = 1.734

Thus the t- critical for the right tailed test is 1.734. This simply refers to the fact that the critical region is test statistics.

Incorporating the Excel Formula [ T.INV (1 - 0.05).18) = 1.734063607

≅ 1.734

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The difference between x and 5, divided by 6
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Answer:

The correct way to interpret the difference of a number divided by 6 and 5 equals 8 is

n/6 - 5 = 8. I believe that another tutor has misled you; there should be only one division, applying to n only.

6 0
3 years ago
What is (2+y)³ written out? 8 + 12y + 6y² + y³ 6 + 8y + 4y² + y³
AveGali [126]
\boxed{(2+y)^3-cube\ the\ sum\ of\ the\ numbers\ 2\ and\ y}

Use:\ (a+b)^3=(a+b)(a+b)(a+b)=a^3+3a^2b+3ab^2+b^3\\----------------------------\\(2+y)^3=2^3+3\cdot2^2\cdot y+3\cdot2\cdot y^2+y^3=8+3\cdot4y+6y^2+y^3\\\\=8+12y+6y^2+y^3\\========================================

8+12y+6y^2+6y^3+8y+4y^2+y^3\\=8+(12y+8y)+(6y^2+4y^2)+(6y^3+y^3)\\=8+20y+10y^2+7y^3



7 0
3 years ago
Read 2 more answers
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
harkovskaia [24]

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0
3 years ago
Simplify 3xy+5yz-2xy +3yz
Free_Kalibri [48]

Answer:

8yz+xy

like terms and then solve it

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3 years ago
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A rectangular park had a perimeter of 18 miles. It is 7 miles wide. What is the area of the park?
4vir4ik [10]
Perimeter = 18 miles
Perimeter = 2a + 2b
2a + 2b = 18

a = ?
b = 7

18 = 2a + 2*7
18 = 2a + 14
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Area = a * b
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7 0
3 years ago
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