The correlation between two variables is –0.63 for a sample of 20 observations. What is the coefficient of determination between
1 answer:
Answer:
b) 0.3969
Step-by-step explanation:
Given that the correlation between two variables is –0.63 for a sample of 20 observations.
Correlation is the measure of linear association between two variables. Normally this varies from -1 to 1 . Here this is given as -0.63
Coefficient of determination has to be found out
Coefficient of determination, being the cause of variation caused by one variable on another is obtained by square correlation coefficient.
Hence coefficient of determination =
Hence correct option is option b) 0.3969
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Hello!
6.
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Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
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6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
The value of is 4.
By Geometry, we know that line segment , which is equivalent to:
(1)
Now we solve algebraically the resulting expression.
If we know that , then we solve the equation for
:
The value of is 4.
We kindly invite to see this question on line segments: brainly.com/question/23297288