The coefficient of determination is the square of the correlation coefficient, and the value is 0.0151
<h3>How to determine the coefficient of determination?</h3>
The given parameter is:
Correlation coefficient, r = 0.123
Rewrite as:
r = 0.123
Take the square of both sides
r² = 0.123²
Evaluate the square
r² = 0.015129
Approximate
r² = 0.0151
The coefficient of determination is represented by r²
Hence, the coefficient of determination is 0.0151
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Answer:
900 cubic feet
Step-by-step explanation:
Volume = length x width x height
= 10 x 20 x 4.5
= 900
Answer:
y= -3x+2
Step-by-step explanation:
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
