A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted Actual Donation No Donation 268 Donation 268 20 No Donation 5,375 23,439 The following table lists some information on individual observations from the validation set:
Observation ID Actual Class Probability of Predicted Class Donation A Donation 0.8 Donation B No Donation 0.1 No Donation C No Donation 0.6 Donation a) Compute the values of accuracy, sensitivity, specificity, and precision.
b) Explain how the probability of Donation was computed for the three observations. Why were Observations A and C class fled as Donation and Observation Donation?

Answers

Answer 1

The accuracy in the research done by university is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.

Given sample size of 58205 and proportion of people donated 576. Cutoff is 0.5.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.

TP=total people donated in sample, TN=total number of people,FP=donation,FN=No donation

Accuracy is calculated as under:

=(TP+TN)/(TP+TN+FP+FN)

=(268+23439)/(238+23439+5375+20)

=23707/29102

=0.81

Accuracy=0.81

Sensitivity is calculated as under:

=TP/(TP+FN)

=268/(268+20)

=268/288

=0.93

Precision is calculated as under:

=TP/(TP+FP)

=268/(268+5375)

=268/5643

=0.047

Their values are the probabilities in itself.

Hence accuracy is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.

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Related Questions

if you apply to college as a freshman in 2023, and they accept you, when you start going to college?

Answers

Answer: Likely May through August 2023

Step-by-step explanation: It really depends on the college.

Which expressions are equivalent to 22c + 33d

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A, C, and E.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To know the expressions that are equivalent to 22c+33d, all the expressions in the options are needed to be simplified.

Let simplify each of the given opion,

A.) (−2c−3d)(−11) = 22c + 33d

B.) 2(11c− 33/2) d = 22c - 33d

C.) (66c+99d)⋅1/3 = 22c + 33d

D.) −1×(−22−33d) = 22 + 33d

E.) 11⋅(2c+3d) = 22c + 33d

Hence, the correct options are A, C, and E.

The complete question is:

Which expressions are equivalent to 22c + 33d?

A. (−2c−3d)(−11)

B. 2(11c− 33/2 d

C. (66c+99d)⋅1/3

D. −1×(−22−33d)

E. 11⋅(2c+3d)

choose 3 answers

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Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is​ impossible?.

Answers

Suppose that a probability is approximated to be zero based on empirical results, this does not mean that the event is​ impossible.

What is probability?

The likelihood that an event will occur is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

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if an equilaterl triangle is inscribed in a circle of a radius 8cm.then what is the area of the triangle?​

Answers

The area of the triangle is 83.14 square centimeters.

How to get the area of the triangle?

If an equilateral triangle is inscribed in a circle of radius R, each side of the triangle measures:

S = R*√3

In this case R = 8cm.

And we know that the area of an equilateral triangle of side length S is:

[tex]A = \frac{\sqrt{3} }{4} *S^2[/tex]

Replacing what we know in the area formula:

[tex]A = \frac{\sqrt{3} }{4} *(\sqrt{3}*8cm)^2 = 83.14 cm^2[/tex]

The area of the triangle is 83.14 square centimeters.

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Mario is having a pizza party on Saturday night. He ordered 8 pizzas. if the average person eats 1/3 of a pizza, how many persons will 8 pizzas serve?

Answers

Answer:

24 people

Step-by-step explanation:

I pizza will feed 3 people

There are 8 pizza's

8 x 3 = 24

Find the area of a circle with radius, r = 5.64m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.

Answers

Answer:

99.93 [tex]m^{2}[/tex]

Step-by-step explanation:

1.  The area of a circle is defined by the equation: A = [tex]\pi r^{2}[/tex]

2. We can plug in the radius and solve the equation: A = [tex]\pi *5.64^{2}[/tex]

3. A = π * 31.8096

4. A = 99.932

5. A = 99.93

According to the data in the figure, find the value of x and y.

Answers

Answer:

This is a educated guess, but x is 80 and y is 100.

Step-by-step explanation:

My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.

How many x-intercepts does the graph of y=2x^2-4x+2 have?

A.0
B.1
C.2

Answers

Answer:

B. 1

Step-by-step explanation:

Please see attachment.

Hope this helps!

If not, I am sorry.

Which of the following expressions represents the given algebraic tiles

Answers

The expression that represents the given algebraic tiles is 2x² + 6x + 6

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The expression for the given algebraic tiles is:

Total = x + x + x + 1 + 1 + 1 + x² + x + x + x + 1 + 1 + 1 + x² = 2x² + 6x + 6

The expression that represents the given algebraic tiles is 2x² + 6x + 6

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find the area of the following figure..​

Answers

Answer:

456 [tex]cm^{2}[/tex]

Step-by-step explanation:

Find the height of the trapezoid first (QR):

[tex]\sqrt{37^{2} -35^{2} }[/tex] = 12

QR = 12

Area:

[tex]\frac{a+b}{2}[/tex] × h = [tex]\frac{35+41}{2}[/tex] × 12

           = 456 [tex]cm^{2}[/tex]

isabella and aiden get a reward of $119 in the ratio of 4 3, what fraction of the total reward does isabella get

Answers

Using proportions, considering the given ratio, Isabella gets [tex]\frac{4}{7}[/tex] of the total reward.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The ratio of Isabella and Aiden is 4:3, which means that out of 4 + 3 = 7 items, Isabella gets 4 and Aiden gets 3, hence the fraction is given by:

[tex]\frac{4}{7}[/tex].

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Which scatterplot shows no correlation?
A graph with both axes unnumbered. A scattered line increases from left to right.

A graph with both axes unnumbered. A scattered line decreases from left to right.

A graph with both axes unnumbered. A short scattered line increases from left to right.

A graph with both axes unnumbered. A line zig zags up and down the graph.

Answers

The one with the zigzag line

Answer:

The graph has random dots all over

Step-by-step explanation:

Use slope-intercept form to write the equation of a line that has a slope of −3 and passes through the point (1, −5).
y=
x=
m=

Answers

Answer:

y=-3x-2

Step-by-step explanation:

The slope-intercept form is y=mx+b

where m is slope and b is y-intercept.

Substitute m=-3 and point (x,y)=(1,-5) into the equation:

-5=-3(1)+b

-5=-3+b

b=-5-(-3)=-5+3=-2

Therefore, the required equation:

y=-3x-2

Determine the equation of the parabola shown in the diagram in vertex form. (check picture below)

Answers

The equation of the parabola is y - 1 = (2/3) * (x - 3)².

What is equation of the parabola ?

The general equation of a parabola is: y-k = a(x-h)²

(h, k) - Coordinates of the vertex.

a - Vertex constant

Here:

(h, k) = (3, 1) and (x, y) = (0, 7).

So,

7 - 1 = C · (0 - 3)²

6 = 9 · C

C = 2/3

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please help me!!!!!!!!!!!!!!
20 POINTS

Answers

Answer:

The Area of the Grass is 18 square meters.

Step-by-step explanation:

Find the area of the grass and sand (5*6). The area of the grass and sand is 30.

Next, find the area of just the sand (3*4). The area of the sand is 12.

Subtract the area of the sand (12) from the area of the grass and sand (30).

30-12 = 18

What is the measure of z?

Z


X


y


4

9

z = [ ? ]VI

Answers

Answer:

z= [ 5] VI

that is my answer

The value of a car depreciates at a rate of 15% per year. When brand new the car is worth £42000 How much will it be worth 2 years later?​

Answers

Answer:

£ 30 345.

Step-by-step explanation:

15 %  off means that 85% is left

42 000 *  .85   *  .85  =  42 000 (.85)^2 =   30 345

Sam opened a savings account with $400. He earns $1,640 a
month at his job and will deposit 3% of his monthly pay every
month into his new savings account. Assuming he doesn't
withdraw money from his savings account, which equation shows
the balance y of his savings account x months after he opened it?
y = 12x + 400
y = 400x + 1640
y = 49.2x + 400
y = 0.03x + 400

Answers

Answer:

y = 49.2x+400

Step-by-step explanation:

He deposits 3% of his monthly pay = 0.03*1640 = $49.2 every month = 49.2x

He put $400 when he opened the account so that needs to be added in = 49.2x+400

hi I have no idea how to do this question :)

Answers

Answer:

A. 36

Step-by-step explanation:

Because the two angles at the bottom of both the triangles are congruent, the two triangles are similar. Therefore, the corresponding side lengths of the triangles must be proportional to each other

if the area of a triangle is hb/2,

(with h=length of height, b=length of base)

the height of the first triangle is:

25 = 10h/2

50 = 10h

h=5

you can write ratios representing the proportions of the two triangles:

5/x = 10/12 (with x=height of second triangle)

x=6

then find the area of the second triangle with the height (6) and base (12)

(6*12)/2 = 36

The minimun point on the graph of the equation y=f(x) is -1,-3. What is the minimum point on the graphof the equation y=f(x-5)

Answers

The minimum point on the graph of the equation y=f(x-5) is (-6, -3)

How to determine the minimum?

The initial minimum is given as:

(-1, -3)

The transformation y = f(x - 5) means that:

(x, y) = (x - 5, y)

So, we have:

(x, y) = (-1 - 5, -3)

Evaluate

(x, y) = (-6, -3)

Hence, the minimum point on the graph of the equation y=f(x-5) is (-6, -3)

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Please help for 50 points with solution

Answers

Answer:

(d)  60°

Step-by-step explanation:

Theorems

Interior angles of a triangle sum to 180°Angles on a straight line sum to 180°

Therefore, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ (a + 20) + (a + 10) = (a + 90)

⇒ a + 20 + a + 10 = a + 90

⇒ 2a + 30 = a + 90

⇒ 2a + 30 - a = a + 90 - a

⇒ a + 30 = 90

⇒ a + 30 - 30 = 90 - 30

⇒ a = 60

Answer:

a = 60

Step-by-step explanation:

→ Find the sum of all the angles

2a + 30 + 90 - a = 180

→ Collect the a terms

a + 120 = 180

→ Find a

a = 60

im not sure how to solve this question ???

Answers

Answer:

Part A) B

Part B) D

Step-by-step explanation:

Given:

Total sweets = 10

Red = 4

Green = 2

Yellow = 3

Purple = 1

A = 2/10 = 1/5

B = 3/10

C = 4/10 = 2/5

D = 1

Solution:Part A)

Yellow sweets = 3

Total = 10

Probability = yellow/total

Probability = 3/10

Hence, B shows the probability of showing a yellow sweet.

Part B)

Sweets that are not orange = 10 (All sweets are not orange)

Total = 10

Probability = sweets that are not orange / total

Probability = 10 / 10

Probability = 1

Hence, D shows the probability of choosing a sweet that is not orange.

[tex]\rule[225]{225}{2}[/tex]

Calculate: 6666666x666666/1+2+3+4+5+6+5+4+3+2+1- 777777x777777/1+2+3+4+5+6+7+6+5+4+3+2+1

Answers

Answer: 3.8395025e+12

Lol

3839502493910

Step-by-step explanation:

you will multiple the 6 and the 7 digits and the other digits

Simplify : i) (〖6x〗^2+x-7)/(12x^2+14x)

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of the given expression can be done as,

[tex]\dfrac{(6x)^2+x-7}{12x^2+14x}\\\\\\=\dfrac{36x^2+x-7}{12x^2+14x}\\\\\\=\dfrac{(6x)^2+x-7}{2(6x^2+7x)}[/tex]

Hence, the simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].

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What is the decimal expansion of the following fraction? 1/2

Answers

Answer:

the answer is 0.5

Step-by-step explanation:

The answer for this is 0.5

Find all the possible values of tan^-1 1

Answers

The possible values of tan^-1(1) are (3π + 4n)/4

How to determine the possible values?

The expression is given as:

tan^-1(1)

To determine the possible values, we plot the graphs of

y = tan(x) and y = 1

From the graph, we have the following values

tan^-1(1) = (3π + 4n)/4 when n = ±{0,1,2....}

Hence, the possible values of tan^-1(1) are (3π + 4n)/4

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Please help me. Due today. Please show work so I can get it correct!!!!

Answers

Based on the inscribed angle theorem, the value of x is: 126°.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states that, the measure of inscribed angle (63 degrees) equals half of the measure of central angle (x).

Thus, we would have:

63 = 1/2(x)

2(63) = x

126 = x

x = 126°

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how do i find the slope of the line containing ordered paid? A(2,-5), B(-2,6)

Answers

The slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the given containing ordered paid A(2,-5) and B(-2,6) is:

Slope = 6+5/-2-2 = 11/-4

Hence, the slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.

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At a weather station in the Artic the temperature was recorded as -23° C.
Two hours later it had fallen by 11° C.
(i) What was the new temperature?
()Four hours after the first readings the temperature was -45° C.
By how much had the temperature fallen in four hours.

Answers

Answer:

(i) -34° C.
(ii) The temperature had fallen by 11° C.

Step-by-step explanation:

(i) As it's a negative number its like we are adding it so 23 + 11 = 34 and as it is a negative number it would be -23 - 11 = -34 which makes it -34° C.

(ii) We know that the temperature now is -45° C, we need to find out how much the temperature had fallen in the 4 hours which had passed. So what we do is essentially add it considering its a negative number so we add -34 by 11 which equals -45. We do this so we can find out how much the temperature had dropped within the 4 hours and as we know that we needed to add 11 to the previous temperature (-34° C) it means that the temperature has dropped by 11° C.

what are the possible numbers of positive, negative, and complex zeros of f(x)=-3x^4+5x^3-x^2+8x+4

Answers

Answer:

There could be 0, 2, or 4 complex solutions

Step-by-step explanation:

The Fundamental Theorem of Algebra states that any polynomial with n degree will have n solutions So since the degree of the polynomial you provided has a degree of 4, that means there are 4 possible solutions. This question specifically asks for complex zeroes. Complex zeroes come in conjugate pairs, so that means if you have one complex zero, there is another complex zero which is it's conjugate. For this reason, there can only be an even number of complex zeroes. And since there's 4 possible solutions, There could be 0, 2, or 4 complex solutions

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