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lozanna [386]
3 years ago
10

what is the equation, in point slope form, for a line that passes through the point 6, -2 and has a slope of -2

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

The point-slope form:

y-y_1=m(x-x_1)

We have the slope m = -2 and the point (6, -2). Substitute:

y-(-2)=-2(x-6)\\\\\boxed{y+2=-2(x-6)}

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A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line
77julia77 [94]

Answer:

B) The sum of the squared residuals

Step-by-step explanation:

Least Square Regression Line is drawn through a bivariate data(Data in two variables) plotted on a graph to explain the relation between the explanatory variable(x) and the response variable(y).

Not all the points will lie on the Least Square Regression Line in all cases. Some points will be above line and some points will be below the line. The vertical distance between the points and the line is known as residual. Since, some points are above the line and some are below, the sum of residuals is always zero for a Least Square Regression Line.

Since, we want to minimize the overall error(residual) so that our line is as close to the points as possible, considering the sum of residuals wont be helpful as it will always be zero. So we square the residuals first and them sum them. This always gives a positive value. The Least Square Regression Line minimizes this sum of residuals and the result is a line of Best Fit for the bivariate data.

Therefore, option B gives the correct answer.

5 0
3 years ago
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What are the domain and range of the function f(x)=(√x-7)+9?
Yanka [14]

Answer:

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

Step-by-step explanation:

Consider the parent function y=\sqrt{x}.

The domain og this function is x\ge 0, the range of this function is y\ge 0.

The function f(x)=\sqrt{x-7}+9 is translated function y=\sqrt{x} 7 units to the right and 9 units up, so

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

3 0
3 years ago
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3 0
2 years ago
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abruzzese [7]

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Step-by-step explanation:

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3 years ago
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katen-ka-za [31]

Answer:

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If u = sin(x), then du = cos(x) dx.

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Evaluate between x=0 and x=π.

⅓ sin³(π) − ⅓ sin³(0)

0

7 0
3 years ago
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