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Measuring the height of a tree is usually more difficult than measuring the diameter of the tree, confidence interval for the slope is mathematically given as
C=(0.396, 1.712)
<h3>What is a 95 percent confidence interval for the slope of the population regression line?</h3>Generally, the equation for the confidence interval is mathematically given as
Where
Therefore
C=(1.054-t29, 0.025*0.322)
C=(0.396, 1.712)
In conclusion, the 95 percent confidence interval is
C=(0.396, 1.712)
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Answer:
The equation of the hyperbola can be presented as follows;
Step-by-step explanation:
We have the equation of an hyperbola given as follows;
The foal length = a² + b² = c²
c = focal length
The directrix = a²/c
The focal point are (h + c, k) and (h - c, k)
Therefore, by comparison with the given focal points, (6, 0) and (-6, 0), we have;
k = 0 and h + c = 6, h - c = -6
Therefore;
6 - c - c = -6
-2·c = -12
c = 6
h = 0
a²/c = 2
a² = 2 × 6 = 12
a = 2·√3
12 + b² = 6²
b² = 6² - 12 = 24
b² = 24
b = 2·√6
The equation of the hyper bola can then be written as follows;
Which gives
x² - y² = 12
y² = x² - 12.