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Alja [10]
2 years ago
10

Answer true or false. If​ false, explain briefly. ​a) Some of the residuals from a least squares linear model will be positive a

nd some will be negative. ​b) Least squares means that some of the squares of the residuals are minimized. ​c) We write ModifyingAbove y with caret to denote the predicted values and y to denote the observed values.
Mathematics
1 answer:
Maru [420]2 years ago
4 0
False because the squares are minimized of the least values.
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G(x)= -\dfrac{x^2}{4} + 7g(x)=− 4 x 2 ​ +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, squared,
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Answer:

<h2>-1/2</h2>

Step-by-step explanation:

Given the function G(x)= -\dfrac{x^2}{4} + 7, the average rate of change of g(x) over the interval [-2,4], is expressed as shown below;

Rate of change of the function is expressed as g(b)-g(a)/b-a

where a - -2 and b = 4

G(4)= -\dfrac{4^2}{4} + 7\\G(4)= -\dfrac{16}{4} + 7\\G(4)= -4 + 7\\G(4) = 3\\

G(-2) = -\dfrac{(-2)^2}{4} + 7\\G(-2)= -\dfrac{4}{4} + 7\\G(-2)= -1 + 7\\G(-2)= 6

average rate of change of g(x) over the interval [-2,4] will be;

g'(x) = \frac{g(4)-g(-2)}{4-(-2)}\\ g'(x) = \frac{3-6}{6}\\\\g'(x) = -3/6\\g'(x) = -1/2

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