Linear Regression:
(a) What happens when you're using the closed form solution and one of the features (columns of X) is duplicated? Explain why. You should think critically about what is happening and why.
(b) Does the same thing happen if one of the training points (rows of X) is duplicated? Explain why.
(c) Does the same thing happen with Gradient Descent? Explain why.

Answer:

X=1

Step-by-step explanation:

You want to start by collecting like terms (6x and 5x) which creates:

x+1=2

Move the constant to the right hand side and change the sign:

x=2-1

Calculate

x=1

Answer:

x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

6x+1−5x=2

Step 1: Simplify both sides of the equation.

6x+1−5x=2

6x+1+−5x=2

(6x+−5x)+(1)=2(Combine Like Terms)

x+1=2

x+1=2

Step 2: Subtract 1 from both sides.

x+1−1=2−1

x=1

Answer:

x=1

Answer:

about $0.13

Step-by-step explanation:

Answer:

13 cents

Step-by-step explanation:

1.59 divided by 12

Answer:

3/7 is the awnser, since in the equation y = mx + b, m is always the slope

Hii!

______________________________________________________________

Answer:

SLOPE = 3/7

Step-by-step explanation:

Note that the equation of this line is given to us in slope intercept form.

The slope intercept formula is y=mx+c.

m=slope

c=y intercept

/-------------\

Now, the slope of the line that is given to us is 3/7.

Remember how I said that the slope is m in the equation y=mx+c?

In the equation y=3/7x+6, the slope is 3/7.

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Hope that this helped! Best wishes.

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Answer:

a

Step-by-step explanation:

Answer:

the answer is a.

Step-by-step explanation:

I did this one.

Answer:

18.33333333%. Please mark as brainliest if I’m Correct. :)

Step-by-step explanation:

Answer:

g(3) = 6

Step-by-step explanation:

The right side of the equation is the part with all the information for the doing of the math.

x^2 - 3 means square the number and then subtract 3.

On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.

What is g(x)? It is y.

What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!

The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.

If you see g(x)=x^2-3

then whatever is in the ( ) on the left, put that in the place of x on the right.

g() = ^2 - 3

g(12) = 12^2 - 3

g(-7) = (-7)^2 - 3

or like your question

g(3) = 3^2 - 3

do the calculation

g(3) = 9 - 3

g(3) = 6

done! Hope this helps!

Answer:

116.

Step-by-step explanation:

Your welcome <3

Answer:

2,075 = 5 × 5 × 83

√2,075 = 5√83 = about 45.55

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Answer: x=−23

Step-by-step explanation:

Let's solve your equation step-by-step.

x+8=−15

Step 1: Subtract 8 from both sides.

x+8−8=−15−8

x=−23

The Margin of Error (ME) is ±2.2 and yes, the naturopathic remedy is effective in increasing the life expectancy of people with this rare disease. The original difference of means of 4.3 years is beyond what we would expect if the differences were random, and the ME of ±2.2 is smaller than the observed difference in means, which suggests a significant effect.

In statistical analysis, the Margin of Error (ME) is a measure of the amount of random sampling error that is present in a survey's results. It represents the range of values within which the true population parameter is likely to fall. In this case, with a sample size of 120 and a standard deviation of 1.21, the ME is ±2.2, indicating that the true difference in means between the control and treatment groups is likely to fall within the range of 2.1 to 6.5 years.

The observed difference in means between the control and treatment groups is 4.3 years, which is greater than the ME, suggesting that the naturopathic remedy is effective in increasing the life expectancy of people with this rare disease. This conclusion is also supported by the dot plot, which shows that the observed difference in means is outside the range of differences that would be expected by chance alone.

Overall, these findings suggest that the naturopathic remedy being tested may be a promising treatment for increasing life expectancy in people with this rare disease. However, further research is needed to confirm these results and to investigate the safety and efficacy of this remedy in larger populations.

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The Margin of Error (ME) is ±2.2 and yes, the naturopathic remedy is effective in increasing the life expectancy of people with this rare disease. The original difference of means of 4.3 years is beyond what we would expect if the differences were random, and the ME of ±2.2 is smaller than the observed difference in means, which suggests a significant effect.

In statistical analysis, the Margin of Error (ME) is a measure of the amount of random sampling error that is present in a survey's results. It represents the range of values within which the true population parameter is likely to fall. In this case, with a sample size of 120 and a standard deviation of 1.21, the ME is ±2.2, indicating that the true difference in means between the control and treatment groups is likely to fall within the range of 2.1 to 6.5 years.

The observed difference in means between the control and treatment groups is 4.3 years, which is greater than the ME, suggesting that the naturopathic remedy is effective in increasing the life expectancy of people with this rare disease. This conclusion is also supported by the dot plot, which shows that the observed difference in means is outside the range of differences that would be expected by chance alone.

Overall, these findings suggest that the naturopathic remedy being tested may be a promising treatment for increasing life expectancy in people with this rare disease. However, further research is needed to confirm these results and to investigate the safety and efficacy of this remedy in larger populations.

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Step-by-step explanation:There's a hundred and four days of summer vacation

'Til school comes along just to end it

So the annual problem for our generation

Is finding a good way to spend it

Like maybe

Building a rocket or fighting a mummy

Or climbing up the Eiffel Tower

Discovering something that doesn't exist

Or giving a monkey a shower

Surfing tidal waves, creating nanobots

Or locating Frankenstein's brain

Finding a dodo bird, painting a continent

Or driving our sister insane

This could possibly be the best day ever

And the forecast says that tomorrow will likely be

A million and six times better

So make every minute count

Jump up, jump in and seize the day

And let's make sure that in every single possible way

Today is gonna be a great day

Crossing the tundra or building a roller coaster

Or skiing down a mountain of beans

Devising a system for remembering everything

Or synchronizing submarines

Racing chariots, taming tiger sharks

Constructing a portal to Mars

Building a time machine, stretching a rubber tree

Or wailing away on guitars

This could possibly be the best day ever

And the forecast says that tomorrow will likely be

A million and six times better

So make every minute count

Jump up, jump in and seize the day

And let's make sure that in every single possible way

Today is gonna be a great day

Let's put our heads together and design a master plan

We may miss dinner but I know mom will understand

We've got our mission and some pliers

Yogurt, gumballs and desire

And a pocketful of rubber bands

The manual on handstands

A Unicycle, compass

And a camera that won't focus

And a canteen full of soda

Grab a beach towel

Here we go!

This is Ferb-tastic!

This could possibly be the best day ever

And the forecast says that tomorrow will likely be

A million and six times better

So make every minute count

Jump up, jump in and seize the day

And let's make sure that in every single possible way

Seriously, this is gonna be great!

This could possibly be the best day ever

Today is gonna be a great day

This could possibly be the best day ever

Answer:You need To tell them apart, they will usually be defined separately.

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Answer:

it was 7.6

Step-by-step explanation:

i did the test

Answer:

(1 , -2/3)

Step-by-step explanation:

when y =0

3×0-2x=-2

0-2x=-2

divide both side by -2

x=1

when x=0

3y-2×0=-2

3y-0=-2

divide both side by 3

y=-2/3

Given parameters:

Measured length = 6.8inches

Actual length  = 6.5 inches

Unknown parameter is the percentage error

Errors introduce uncertainty into a reading. Often times measurement errors are incurred in a process due to diverse reasons. This error can be due to the problems with the measuring device, incorrect reporting of measured values and also, the scientist can be at fault.

Deviation from the actual measurement leads to the concept of accuracy.

To solve this problem, we need to find the absolute error;

  Absolute error = | Measured length - Actual length|

Input the variables given and solve;

    Absolute error  = | 6.8 - 6.5|  = 0.3 inches

Now, let us find the percentage error;

  Percentage error  = \(\frac{Absolute error}{Actual length} x 100\)

 Input the parameters and solve;

      Percentage error  = \(\frac{0.3}{6.5} x 100\)   = 4.615%

   To the nearest tenth percent = 4.6%

Therefore, the percentage error to the nearest tenth percent = 4.6%

Answer:

About 36%.

Step-by-step explanation:

The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.

The total value is $1,500. The initial cost is $1,100.

(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636

So, Dean's rate of return on investment is about 36%.

Hope this helps!

Step-by-Step Explanation:

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The output of the function is 3.

Given that the ordered pair of (2, 3) we need to determine the output of the function represented by the given ordered pair,

So, we know that the output of a function is called the range of the function,

For all the range there is one unique domain.

The domain and the range of a function is (x, y) respectively,

Here, (x, y) → (2, 3)

y = 3

Hence the output of the function is 3.

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Answer:

324 \(cm^{2}\)

Step-by-step explanation:

Area is the length multiplied by width. In the case of a square, both sides are the same so it would simply be 18 x 18 or \(18^{2}\) which equals 324, but make sure to adds units, \(cm^{2}\). Hope this helps

Answer:

acute triangle

Step-by-step explanation:

A triangle with all angles less than 90 degrees has all angles that are acute.

Acute angles are less than 90 degrees

Complete Question

Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.

a

State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.

b

What is the sample proportion indicating that their  financial security was more that fair in 2012?In 2010?

c

Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?

Answer:

a

The null hypothesis is  \(H_o : p_1 = p_2\)

The  alternative hypothesis is   \(H_a : p_1 \ne p_2\)

b

in 2012  \(\r p_1 =0.41\)

in 2010  \(\r p_2 =0.35\)  

c

The  p-value  is  \(p-value = 0.0072 \)

The conclusion is

There is  sufficient evidence to conclude that the proportion of those indicating that  financial security is more fair in Feb 2010 is different from the proportion of  those indicating that financial security is more fair in Feb 2012.

Step-by-step explanation:

From the question we are told that

   The  sample size in 2012 is  \(n_1 = 1000\)

    The  number that indicated that their finance was more than fail is  k  =  410  

     The  sample  size in 2010  is  \(n_2 = 900\)

   The  number that indicated that their finance was more than fail is  u  =  315

     The  level of significance is  \( \alpha  =  0.05[/ex]

The null hypothesis is  \(H_o : p_1 = p_2\)

The  alternative hypothesis is   \(H_a : p_1 \ne p_2\)

Generally the sample proportion for  2012 is mathematically represented as

     \(\r p_1 = \frac{k}{n_1}\)

=>   \(\r p_1 = \frac{410}{1000}\)

=>   \(\r p_1 =0.41\)

Generally the sample proportion for  2010 is mathematically represented as

      \(\r p_2 = \frac{u}{n_2}\)

=>   \(\r p_2 = \frac{315}{900}\)

=>   \(\r p_2 =0.35\)    

Generally the pooled sample proportion is mathematically represented as

      \(\r p = \frac{k + u }{n_1 + n_2}\)

=>     \(\r p =  \frac{410 + 315 }{1000+ 900}\)

=>      \(\r p = 0.3816 \)

Generally the test statistics is mathematically represented as

     \(z = \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )} }\)

 \(z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }\)    

 \(z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }\)

   \(z  =  2.688\)

Generally the p- value  is mathematically represented as  

      \(p-value = 2 P(Z >2.688  )\)

From the z -table  

      \(P(Z > 2.688) = 0.0036 \)

So  

      \(p-value = 2 *0.0036 \)

        \(p-value = 0.0072 \)

So from the p-value  obtained we see that p-value  <  \(\alpha\) so we reject the null hypothesis

Thus there is  sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.

A=9, B=5 and D=7 are the correct options.

In the *Geometry*, a *triangle* is a closed 2-dimensional figure with 3 angles, 3 sides and 3 vertices. Triangles are considered as a *polygon* with the least number of sides.

a,b and c are the sides of a triangle if it satisfies:

a<b+c  , b<a+c and c<b+a

Here, a=4 and b=7

We have to find c

i.e. all those c which satisfies:

4<7+c , 7<4+c and c<4+7=11

AAAAAA. 9 it is true

B.5   it is true

C.17   This is clearly false, since it doesn't satisfies inequality third.

D.7   it is true

EE. 3  it is not true since it doesn't satisfies second inequality.

F.11 This is clearly false, since it doesn't satisfies inequality third

Hence, The correct answer of the given question is A,B and D.

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Answer:

Force= Mass×Accelaraion

F=m×a

But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)

So now we have,

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

Thus the mass of the object is 447.42 (i am not sure of units)

Answer:

Force= Mass×Accelaraion

F=m×a

The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

we have 10mph = 4.47 meters per second square

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

(a) The equation ||2 - r/7|| = 3 can be split into two separate equations without using absolute value::

1. 2 - r/7 = 3

2. 2 - r/7 = -3

(b) Solving these equations gives us the following solutions for r: -7, 35.

Let us discuss each section separately:

(a) The equation ||2 - r/7|| = 3 can be split into two separate equations as follows:

1. 2 - r/7 = 3

2. 2 - r/7 = -3

(b) Solving the first equation:

Subtracting 2 from both sides gives -r/7 = 1. Multiplying both sides by -7 yields r = -7.

Solving the second equation:

Subtracting 2 from both sides gives -r/7 = -5. Multiplying both sides by -7 gives r = 35.

Thus, the solutions to the equations are r = -7, 35.

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Answer:

i forgot how to do this

Step-by-step explanation:

Answer:

Exact: 16.6

Rounded: 17

Step-by-step explanation:

1 coach = 50 people                  (50 / 1 = 50 people)

2 coaches = 100 people            (100 / 2 = 50 people)

x coaches = 830 people            (830 / x = 50 people)

830 / x = 50

mutely both sides by x

830 / x * x = 50 * x

830 = 50x

divided both sides by 50 to get x alone

830 / 50 = 50x / 50

830/50 = x

16.6 couches needed to fit 830 people

To solve this exercise, we solve it by means of division:

If a coach has capacity for 50 people.

Therefore we divide 830 by 50:

        1 6. 6 ⇒ Answer

 5 0 | 8 3 0

         5 0

             3 3 0

            3 0 0

                3 0 0

                3 0 0

                0 0 0

Therefore, for 830 people, 16.6 coaches are needed.

\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)

Answer:

Step-by-step explanation:

To find P * 1, we need to find all pairs of elements in P that have a difference of 1. Let's start by listing the elements of P:

P = {(1, 2), (2, 5), (3, 8), (4, 11)}

Now, we can find all pairs of elements in P that have a difference of 1:

(1, 2), (2, 5) -> (1, 5)

(2, 5), (3, 8) -> (1, 3)

(3, 8), (4, 11) -> (1, 3)

Therefore, P * 1 = {(1, 5), (1, 3), (1, 3)} = {(1, 5), (1, 3)} (since the last pair is a duplicate).

(b) The given relation is: y = 4x

The elements of this relation are all pairs (x, y) such that y = 4x. For example, (1, 4), (2, 8), (3, 12), etc.

(c) The given relation is: x + y ≥ 20

The elements of this relation are all pairs (x, y) such that x + y is greater than or equal to 20. For example, (1, 19), (2, 18), (3, 17), etc.

(d) The given relation is: y = x

The elements of this relation are all pairs (x, y) such that y = x. For example, (1, 1), (2, 2), (3, 3), etc.

The relationship between x and y is proportional, with a constant of proportionality equal to 3.

To determine if the table and the equation represent the same proportional relationship between x and y, we need to examine whether the values in the table follow a consistent pattern that aligns with the equation.

In a proportional relationship, the ratio of y to x remains constant. This means that for every value of x, the corresponding value of y will be a multiple of x. This multiple is represented by a constant, often denoted as k or m, in the equation.

Let's analyze the given table and equation:

Table:

x         |       y

0         |  0

1          |  1

3         |  2

2/3      |  33

1          |  4

5         |  6

1 1/2    | 3

Equation:

y = 3x

By comparing the values in the table with the equation, we can see that the values of y are obtained by multiplying the corresponding values of x by 3. This matches the equation y = 3x, where the constant of proportionality is 3.

For example:

When x = 1, y = 3(1) = 3.

When x = 2/3, y = 3(2/3) = 2.

When x = 5, y = 3(5) = 15.

The values in the table consistently follow the pattern of being a multiple of x by a factor of 3, which confirms that the table and the equation represent the same proportional relationship between x and y.

Therefore, based on the table and the equation, we can conclude that the relationship between x and y is proportional, with a constant of proportionality equal to 3.

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