If you need to reduce the number of predictors due to software limitations or clarity of presentation, you should choose a variable that has a strong relationship with the target variable and contributes the most to the overall model's accuracy.
This can be determined through feature selection techniques, such as recursive feature elimination or feature importance ranking, based on your specific dataset and problem.
To avoid overfitting, set the minimum number of records in a terminal node to 50. Also, set the maximum number of levels to be displayed at seven (the maximum allowed in XL Miner).
Write down the results in terms of rules. The classification tree using all predictors and the best-pruned tree are given below:
Best-pruned Tree Classification Tree Rules: If (credit score ≤ 642.5) AND (income ≤ 35.5) AND (age ≤ 52.5)
then Predict Default = yes If (credit score ≤ 642.5) AND (income ≤ 35.5) AND (age > 52.5)
then Predict Default = yes If (credit score ≤ 642.5) AND (income > 35.5) then Predict Default = no If (credit score > 642.5) AND (income ≤ 81.5) AND (age ≤ 25.5)
then Predict Default = yes If (credit score > 642.5) AND (income ≤ 81.5) AND (age > 25.5) AND (age ≤ 47.5)
then Predict Default = no If (credit score > 642.5) AND (income ≤ 81.5) AND (age > 25.5) AND (age > 47.5)
then Predict Default = no If (credit score > 642.5) AND (income > 81.5) AND (credit score ≤ 684.5)
then Predict Default = yes If (credit score > 642.5) AND (income > 81.5) AND (credit score > 684.5) AND (income ≤ 96.5) then Predict Default = yes If (credit score > 642.5) AND (income > 81.5) AND (credit score > 684.5) AND (income > 96.5)
then Predict Default = no If the number of predictors were to be reduced due to software limitations or for clarity of presentation, then the best variable to choose for prediction would depend on the correlation between the predictors and the response variable.
To fit a classification tree using variables and avoid overfitting, you should set the minimum number of records in a terminal node to 50 and limit the maximum number of levels displayed to seven. After fitting the tree and pruning it, you will have a set of rules based on the chosen predictors.
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Write an equation that represents the line.
Use exact numbers
Answer:
y=0.75x+2
Step-by-step explanation:
you can also do y=3/4x+2
If u rotate an object around a given point what information will you need?
Answer:
A point (a, b) rotated around a point (x, y) 180 degrees will transform to point (-(a - x) + x, -(b - y) + y). A point (a, b) rotated around the origin 270 degrees will transform to point (b - y + x, -(a - x) + y).
Step-by-step explanation:
Solve for X
Find the length of the missing side
(Picture)
Answer:
The first one will be 16.9
The second one will be
\(8 \sqrt{2} \)
Step-by-step explanation:
Hope this Helped
1. Describe one point on the line and the slope of the line graphed below:
O (2,0),
O (-4,2),
O (-4,2), -3
0 (0,1),
The line is passing through (2, 0) and (0, 0.8) and the slope is 0.4. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
From the line, we can observe that the line is passing through (2, 0) and (0, 0.8).
Then the slope of the line will be
Slope = (0.8 – 0) / (0 – 2)
Slope = 0.4
Then the correct option is A.
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Kenzie finished recording the last song for her new album. The song was 4 minutes and 47 seconds long. The song must be within 30 seconds of 250 seconds long to fit in the recording space left on the album. Write an absolute value inequality to represent the situation and solve. Will the last song fit on the album?
Answer:
a. ║ t - 250 ║ = 30. b. The last song will fit into the album.
Step-by-step explanation:
a. Since the song must be within 30 seconds of 250 seconds to fit in the recording space left on the album, let t be the time duration of the song. So, for it to be within 30 seconds of 250 seconds, the expression is
t - 250 = ±30 or ║ t - 250 ║ = 30.
b. Since the song is 4 minutes and 47 seconds long, converting this to seconds, it is 4 × 60 s + 47 s = 240 s + 47 s = 287 s.
Inserting t into the left side of the equation t - 250 = 287 - 250 = 27 s which is less than 30 s. Since the time difference is less than 30 s, the last song will fit into the album.
please graph y≤ 2x-3
Use the formula for compound amount:$20,000 at 5% compounded quarterly for 3/4 of a year
Compound interest formula
\(A=P(1+\frac{r}{n})^{nt}\)where
• A: final amount, in dollars
,• P: principal, in dollars
,• r: interest rate, as a decimal
,• n: number of times interest is compounded per year
,• t: time, in years
Substituting with P = $20,000, r = 0.05 (=5/100), n = 4 (quarterly means that the interest is compounded 4 times per year), and t = 3/4 years, we get:
\(\begin{gathered} A=20,000(1+\frac{0.05}{4})^{4\cdot\frac{3}{4}} \\ A=20,000(1.0125)^3 \\ A=20759.41\text{ \$} \end{gathered}\)convert 9/8 to a decimal long division
Can somebody please help me
\(4-\cfrac{2}{3}b+\cfrac{1}{4}a~~ + ~~\cfrac{1}{2}a+\cfrac{1}{6}b-7\implies 4-\cfrac{2b}{3}+\cfrac{a}{4}~~ + ~~\cfrac{a}{2}+\cfrac{b}{6}-7 \\\\\\ \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left(-\cfrac{2b}{3} + \cfrac{b}{6}\right)+(4-7)\implies \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left( \cfrac{b}{6}-\cfrac{2b}{3} \right)+(4-7)\)
\(\left( \cfrac{(1)a+(2)a}{\underset{\textit{using this LCD}}{4}} \right)+\left( \cfrac{(1)b-(2)2b}{\underset{\textit{using this LCD}}{6}} \right)+(-3) \\\\\\ \left( \cfrac{a+2a}{4} \right)+\left( \cfrac{b-4b}{6} \right)-3\implies \left( \cfrac{3a}{4} \right)+\left( \cfrac{-3b}{6} \right)-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} \cfrac{3}{4}a-\cfrac{1}{2}b-3 \end{array}}~\hfill\)
How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a
Answer:
In order of the questions asked, the answers are, C, D, A, C
Step-by-step explanation:
After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.
if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D
the isotope for dating organic remains is A. carbon-14
for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460
so the answer is C
please help
........
Answer:
1. monomial
2. Binomial
3. polynomial
4.binomial
5 trinomial
6 binomial
What is the place value of 432?.
Place value of 432 is 400 +30+02 .
What is place value?
In math, each digit in a very variety features a place value. Place value is outlined because the price pictured by a digit in a very variety on the premise of its position within the variety.
Main body:
The place value of a digit will increase by 10 times as we move left on the place worth chart and reduces by ten times as we tend to move right.
The place of digit 4 will be hundreds.
The place of digit 3 will be tens.
The place of digit 2 will be ones.
Hence place value of 432 is 400 +30+02 .
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4+(−634) please answer
The solution to the expression 4+(−634) is -630
How to evaluate the expression?From the question, we have the following parameters that can be used in our computation:
4+(−634)
Rewrite the expression properly
So, we have the following representation
4 + (−634)
Remove the bracket in the above expression
This gives
4 + (−634) = 4 - 634
Evaluate the difference
4 + (−634) = -630
Hence, the solution is -630
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The triangle below is equilateral. Find the length of side x to the nearest tenth.
Answer:
\(\sqrt{\frac{15}{2} }\) or 2.738
Step-by-step explanation:
Let’s just look at the triangle on the top with the \(\sqrt{10}\) on the top and x on the bottom. (Basically the top half to the equilateral triangle)
There is a small square in the bottom right corner, which indicates that this triangle is a right triangle. This means that we can use the Pythagorean Theorem: \(a^{2} +b^{2} =c^{2}\)
We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b=\(\frac{1}{2}(\sqrt{10})\) or \(\frac{\sqrt{10} }{2}\)
Plugging these values into the equation:
x^2+ (\frac{\sqrt{10} }{2})^{2}=\sqrt{10} ^{2}
\(x^{2}=\sqrt{10} ^{2}-\frac{\sqrt{10} }{2} ^{2}\)
\(x^{2} =10-\frac{10}{4}\)
\(x^{2} =\frac{15}{2}\)
\(x=\sqrt{\frac{15}{2} }\)
This approximately equals 2.738
Answer:
\(x=\sqrt{\frac{15}{2} }\). Another form of this answer is \(x=\frac{\sqrt{15} }{\sqrt{2} }\)(it's the same thing)
Step-by-step explanation:
Because the triangle is equilateral, all other sides of the triangle are also \(\sqrt{10}\). Also, x is the altitude of this triangle as it forms a right angle with the base and is therefore perpendicular. We know that this triangle is equilateral and in any triangle that has at least two sides that are equal(in other words isosceles), the altitude is also the median and angle bisector. A median would cut the side it reaches into half. So, x would cut the base into two equal parts. Since the base is \(\sqrt{10}\), divide it by two and both halves are \(\frac{\sqrt{10}}{2}\). What we are left with is two right triangles, both with legs \(\frac{\sqrt{10} }{2}\) and x. Using the Pythagorean Theorem, we know that \(a^{2}+b^{2}=c^{2}\), with \(a\) and \(b\) being the legs and \(c\) being the hypotenuse. So, we plug in the values and get \(\frac{\sqrt{10} }{2} ^{2}\)\(+x^{2}=\sqrt{10}^{2}\). Squaring, we get \(\frac{10}{4}+x^{2}=10\). This becomes \(x^{2}=10-\frac{10}{4}\) which equals \(x^{2}=\frac{40}{4}-\frac{10}{4}\). Finally, \(x^{2}=\frac{30}{4}\). This is \(x^{2}=\frac{15}{2}\). Square rooting this we get \(x=\sqrt{\frac{15}{2} }\). Another form of this answer is \(x=\frac{\sqrt{15} }{\sqrt{2} }\)
In ΔEFG, f = 86 inches, e = 64 inches and ∠E=32°. Find all possible values of ∠F, to the nearest degree.
Answer:
Answer: 45 ∘ and 135 ∘
Step-by-step explanation:
Delta Math
If we know the temperature in degrees Celsius, C, we can find the temperature in degrees Kelvin, K, using this equation: K=C+273. 15
Complete the table with temperatures in Kelvin or in Celsius
If we know the temperature in degrees Celsius, C, we can find the temperature in degrees Kelvin, K, using this equation: K=C+273 (option 1)
To convert a temperature from degrees Celsius to degrees Kelvin, you simply add 273 to the temperature in degrees Celsius. This is because the Kelvin scale is an absolute temperature scale where 0 K represents the theoretical minimum temperature, known as absolute zero, at which all matter would have zero thermal energy.
The Celsius scale, on the other hand, is a relative temperature scale that uses the freezing and boiling points of water as reference points. The formula K = C + 273 allows us to convert from one scale to the other.
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Complete Question:
If we know the temperature in degrees Celsius, C, we can find the temperature in degrees Kelvin, K, using this equation:
K=C+273K=C+269K=C+278K=C+276The equation 3x + 4(ax + 2) = 10x + b has infinitely many solutions, where a and b are
constants. What are the values of a and b?
Answer:
\(a = \frac{b}{4x} + \frac{7}{4} - \frac{2}{x}\)
b = 7x + 4ax + 8
Step-by-step explanation:
Hope this helps! :D
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how do you find the height of a cylinder when given the surface area and the diameter?
I need answer for number 8 please no links and the right answer thank youuu
Answer:
y = 2/5x - 4
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/5x - 4
In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device to measure the angle of elevation from my line of sight to the top of a tree to be 31°. Find the height of the tree if my height is 6 feet and I was 275 feet from the tree
Answer:
Step-by-step explanation:
See image
Suppose $m$ is a two-digit positive integer such that $6^{-1}\pmod m$ exists and $6^{-1}\equiv 6^2\pmod m$. What is $m$
The value of $m$ is $43$.
The equation $6^{-1}\equiv 6^2\pmod m$ implies that $6^{-1}$ is a valid inverse of $6$ modulo $m$. This means that multiplying $6^{-1}$ by $6$ must result in the remainder $1$ when divided by $m$.
To find the value of $m$, we can then set up the equation:
$0\equiv 215\pmod m$
and find all possible values of $m$ that make this equation true.
Multiplying $6^{-1}\equiv 6^2\pmod m$ by $6$, we get $1\equiv 6^3\pmod m$, so $0\equiv 215\pmod m$. So, $m$ must be a divisor of $215$. The only 2-digit divisor of $215$ is $43$.
Therefore, $m$ is a two-digit number, the only possible value of $m$ is $43$.
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MULTIPLE CHOICE
What is your output when x is -5?
A. 1
B. -9
C. -1
D. 9
A new laptop cost £785 The value of the laptop decreases at a rate of 7% per year. Work out the value of the phone at the end of 3 years.
Answer:
£631.42
Step-by-step explanation:
Year 1: £785 - (7/100) * £785 = £730.05
Year 2: £730.05 - (7/100) * £730.05 = £678.95
Year 3: £678.95 - (7/100) * £678.95 = £631.42
Of the three forms, which one is the only form that you can find the y-intercept immediately (just by looking at the equation).
A- Standard Form
B-Vertex Form
C-Intercept Form (Factored Form)
D-Slope Intercept Form
Which?
A
B
C
D
Help me for 20 points!!!
Which equation represents a line with a slope of -2 that passes through (3,-1)?
Answer:
\(y=2x+5\)
Step-by-step explanation:
i did the math
How would your estimates have changed to get a more
accurate answer?
I know this question is vague but like, I don't want a full answer I just don't know where/how to start my explanation
Answer:
Im assuming you wrote a hypothesis or experimented or something, the "..." is where you write whatever your talking about I hope this helps :)
Step-by-step explanation:
My estimates would have changed to get a more accurate answer if I had previously known that.... would affect.... My estimate would have been...... because.....
Which equaiton reprsents a line that passes through the two points in the table? A.y+1=5/4(x+1) B.y+6=4/5(x+5) C.y-6=4/5(x-5) D.y-1=5/4(x-1)
Answer:
C
Step-by-step explanation:
It’s c
examples of real life situations where we apply approximation
Answer:
It can be like, you walked 3.1415925 miles
so you can say, you walked 3.1416 miles (approx.)
Step-by-step explanation:
is the function continuous at all points in the given region: (b). y/x^2+2 on the disk x^2+y^2<=1
Yes, the function y/(x²+2) is continuous at all points in the given region, which is the disk x²+y²<=1.
To show this, we need to show that the function is defined and continuous at every point (x, y) in the disk. The denominator x²+2 is always positive, so the function is defined for all (x, y) in the disk. To show that the function is continuous at each point, we can use the fact that the sum, difference, product, and quotient of continuous functions is also continuous, and that the projection functions x and y are continuous. Therefore, the function y/(x²+2) is continuous on the disk x²+y²<=1,
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