1) What is the difference of 11.927−7.863 ?

(2 points) The least squares method requires that the variance σ2????σϵ2 of the error variable ????ϵ is a constant no matter wha

attashe74 [19]

Answer:

C. heteroscedasticity

Step-by-step explanation:

The OLS regression assumption of error variance being constant irrespective of independent variables, is called Homoscedasticity.

Var (u | x) = σ^2 (u) ;

where u = error term, x = independent variable, σ^2 (u) = constant error variance

The violance of this assumption ie Var (u | x) is related to independent variable x, is called Heteroscedasticity.

6 0

4 years ago

If the terminal point of e is (0, -1), what is tan e?<br> A. O<br> B. 1<br> C. Undefined<br> D. -1

Leni [432]

The correct answer is C undefined

7 0

3 years ago

The total surface area of a closed cylinder is

Degger [83]

The maximum volume of the cylinder is 27147.355 at the maximum point $r = \frac{50}{\sqrt{3} }$ .

<h3>How do you find the maximum volume of the cylinder?</h3>

The formula for the volume of the cylinder v = $\pi$ $r^{2}$ h, To find the maximum volume of the cylinder we apply the condition of maxima $\frac{\mathrm{d} v}{\mathrm{d} r}$ = 0.

Let r cm be the radius and h cm be the height of the closed cylinder.

Then, Total surface area of the cylinder = $2\pi r(r+h)$

$5000$ = $2\pi r^{2} +2\pi rh$

$h$ = $\frac{5000-2\pi r^{2} }{2\pi rh}$ .............(1)

Volume of the cylinder v = $\pi r^{2} h$

Substitute the value of $h$ in the above equation

$\Rightarrow$ = $\pi r^{2}$ × $\left [ \frac{5000-2\pi r^{2}}{2\pi r} \right ]$

$\Rightarrow$ = $\frac{r}{2}$ × $(5000-2\pi r^{2} )$

$\Rightarrow$ v = $2500r-\pi r^{3}$ ..............(2)

Now, for the maximum volume of the cylinder $\frac{\mathrm{d} v}{\mathrm{d} r}$ = 0

$\Rightarrow$ $\frac{\mathrm{d} (2500r-\pi r^{3})}{\mathrm{d} r} = 0$

$\Rightarrow$ $3\pi r^{2} = 2500$

$\Rightarrow$ $r^{2} = \frac{2500}{3\pi }$

$\Rightarrow$ $r = \frac{50}{\sqrt{3\pi } }$

Volume is maximum for $r = \frac{50}{\sqrt{3\pi } }$

Then, v = $2500r-\pi r^{3}$

$\Rightarrow$ = $2500 \frac{50}{\sqrt{3\pi } } -\pi (\frac{50}{\sqrt{3\pi } } )^{3}$

$\Rightarrow$ = $\frac{125000}{\sqrt{3\pi } } - \frac{125000}{3\sqrt{3\pi } }$

$\Rightarrow$ = $\frac{125000}{\sqrt{3\pi } }$ × $\frac{2}{3}$

$\Rightarrow$ = $\frac{250000}{3\sqrt{3\pi } }$

$\Rightarrow$ v = 27147.355

Hence, The maximum volume of the cylinder is 27147.355 at the maximum point $r = \frac{50}{\sqrt{3} }$ .

To learn more about total surface area and volume of the cylinder from the given link

brainly.com/question/16095729

#SPJ4

3 0

2 years ago

Billy has been to three more than four times as many baseball games as Brendan. Brendan has been to 11 baseball games. Complete

natka813 [3]

Answer:11x4+3=47

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true? On a coordinate

Nina [5.8K]

Answer:

You did not write the options, but let's solve it in a general way.

f(x) and g(x) are quadratic functions, this means that:

f(x) = a*x^2 + b*x + c

g(x) = d*x^2 + e*x + f

now, (g + f)(x) is a linear function that goes trough the points (-3, 4), (0,1 ) and (1,0)

(g + f)(x) = s*x + k

We can find the slope of this linear function as:

S = (y2 - y1)/(x2 - x1)

i will use the first two points.

S = (1 - 4)/(0 - (-3) = -3/3 = -1

so we have: ( f + h)(x) = -1*x + k

and we can find k using one of the points, for example (0, 1)

1 = -1*0 + k

b = 1.

so we have: (f + g)(x) = -1*x + 1.

Now, (f+g)(x) = (a + d)*x^2 + (b + e)*x + (c + f) = -1*x + 1.

So we must have that:

a = -d

b + e = -1

c + f = 1.

4 0

3 years ago