All categories

3 years ago

In a multiple regression problem involving two independent variables, if b0 is computed to be +2.0, it means that:

Mathematics

1 answer:

umka21 [38]3 years ago

5 0

Answer:

d)the estimated average of Y is 2 when X1 and X2 equals zero.

Step-by-step explanation:

Hello!

The multiple regression model with two independent variables is:

Y= β₀ + β₁X₁i + β₂X₂ + εi

Where

β₀ is where Y intercepts the line, in terms of the regression, is the value of the population mean of the dependent variable when X₁ and X₂ are cero.

β₁ is the slope of the variable X₁, in terms of the regression, is the change that suffers the population mean when X₁ increases one unit and X₂ remains constant.

β₂ is the slope of the variable X₂, in terms of the regression, is the change that suffers the population mean when X₂ increases one unit and X₁ remains constant.

When you calculate the estimated plane for the multiple regression you have tree estimators for each βi, were:

Y= b₀ + b₁ X₁ + b₂ X₂

b₀ estimates β₀

b₁ estimates β₁

b₂ estimates β₂

interpreted in colloquial language b₀ is the value of the sample mean of Y when X₁ and X₂ are cero.

With this in mind, the correct answer is d.

I hope you have a SUPER day!

You might be interested in

Which dashed line is an asymptote for the graph

Svetach [21]

Where is the picture? This question must have an picture/image

6 0

3 years ago

In a study of 6-11 year old elementary school children, data shows a strong positive correlation between measures of physical co

nydimaria [60]

Answer:

C. Age is a probably lurking variable in this study.

Step-by-step explanation:

The two variables that are related in this study are arithmetic and exercise.

The variable which is not known and cannot be controlled is age. But it may effect other variables. Such a variable is called lurking variable.

In this experiment we know the age range but not exact age. It may effect as younger students may not be able to solve questions easily.

Choice C is the most appropriate conclusion given for the finding.

6 0

3 years ago

Help me please!! will mark brainliest!

WITCHER [35]

10 hours seems like the most reliable answer because it matches up the best

8 0

3 years ago

Read 2 more answers

Solve each system by elimination.

strojnjashka [21]

Answer:

y = -1, x = -2

Step-by-step explanation:

First, multiply the top equation by 2 to make 3x become 6x:

6x - 8y = -4

Second, multiply the bottom equation by 3 to make -2x become -6x:

9y - 6x = 3

Add the two equations together, and you get:

y = -1

Plug in y as -1 into the first or second equation:

3x - 4(-1) = -2

3(-1) - 2x = 1

x = -2

5 0

3 years ago

Find the volume of the largest circular cone that can<br> beinscribed in a shpere of radius 3.

Aleksandr [31]

Answer:

$V =\dfrac{32}{3}\pi$

Step-by-step explanation:

given,

radius of sphere = 3

volume of cone:

$V = \dfrac{1}{3}\pi r^2h$

r is the radius of circular base

h is the height of the cone

here r = x and h = 3 + y

now, volume in term of x and y

$V = \dfrac{1}{3}\pi x^2(3+y)$

Applying Pythagoras theorem

x² + y² = 3²

$x = \sqrt{9-y^2}$

$V = \dfrac{1}{3}\pi ( \sqrt{9-y^2})^2(3+y)$

$V = \dfrac{1}{3}\pi ( 9-y^2)(3+y)$

$V = \dfrac{1}{3}\pi (27 + 9 y - 3 y^2-y^3)$

differentiating both side

$\dfrac{dV}{dy} =\dfrac{1}{3}\pi ( 9-6y- 3y^2)$

for maxima $\dfrac{dV}{dy} = 0$

$\pi ( 3-2 y - y^2)=0$

y² + 2 y - 3 = 0

(y+3)(y-1)=0

y = 1,-3

y cannot be negative so, volume at y = 1

$V = \dfrac{1}{3}\pi (27 + 9 (1)- 3(1)^2-(1)^3)$

$V =\dfrac{32}{3}\pi$

Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume $V =\dfrac{32}{3}\pi$

5 0

3 years ago