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kobusy [5.1K]
2 years ago
14

Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore, many researchers us

e regression models to predict the height of a tree from its diameter measured at 4 feet 6 inches from the ground. The following computer output shows the results of a linear regression based on the heights, in feet, and the diameters in inches, recorded from 31 felled trees.
Estimate Std Error t-value Pr(>|t|)
Intercept 62.031 4.383 14.15 0.0000
Diameter 1.054 0.322 0.0028 3.27
Which of the following is a 95 percent confidence interval for the slope of the population regression line?
(A) (0.001.2.107).
(B) (0.396, 1.712.
(C) (0.423,1.685).
(D) (0.732. 1.376).
(E) (53.07.70.99).
Mathematics
1 answer:
LenKa [72]2 years ago
8 0

Answer:

(B) (0.396, 1.712)

Step-by-step explanation:

From the information given;

Confidence Interval = 0.95

Significance Level = 1 - 0.95 = 0.05

The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:

= ( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))

From the regression coefficient, the estimated value of beta^  = 1.054

= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))

t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}

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Given the graph of the function f below, estimate the intervals in which fis<br> increasing.
nadezda [96]

Answer:

  (-∞, -5/2) ∪ (1, ∞)

Step-by-step explanation:

"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.

It is increasing again from the local minimum on the right to the right side of the graph.

The two sections where the graph is increasing are ...

  (-∞, -5/2) ∪ (1, ∞)

__

The graph is <em>decreasing</em> between the maximum on the left and the minimum on the right.

6 0
3 years ago
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algol [13]

Answer:

1) 1 to 3

2) 1/3 B*H

Step-by-step explanation:

3 0
3 years ago
Write an equation of the line that<br> passes through (-1,2) with a slope of 4
Iteru [2.4K]

Step-by-step explanation:

Hey there!

Given;

The points is; (-1 , 2) and slope is 4.

<em>Note:</em><em> </em><em>Use </em><em>one-point</em><em> formula</em><em>.</em>

<em>(y - y1) = m(x - x1)</em>

<em>~</em><em> </em><em>Put </em><em>all</em><em> values</em><em>.</em>

(y - 2) = 4(x + 1)

~ Simplify it.

(y - 2) = 4x + 4

4x - y + 6 = 0

Therefore, the required equation is; 4x-y+6=0.

<h3><em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em></h3>

6 0
3 years ago
Which of the following are accurate descriptions of data distribution shown below
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5 0
3 years ago
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If EG = 3y - 10 and ET = 2y, find the value of y In parallelogram FGHI.<br> 1<br> Find Value of y.
Ksenya-84 [330]
<h3>Answer:  y = 10</h3>

=====================================

Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

  • EI = 3y-10 = 3*10-10 = 20
  • EG = 2y = 2*10 = 20

Both EI and EG are 20 units long when y = 10. This confirms the answer.

6 0
2 years ago
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