All categories

2 years ago

A set of data points has a line of best fit of y=2.5x-1.5

Mathematics

2 answers:

tamaranim1 [39]2 years ago

8 0

Answer:

-1.5

Step-by-step explanation:

castortr0y [4]2 years ago

7 0

To solve this problem you must apply the proccedure shown below:

1- You must apply the following formula:

$R=yo-yp$

Where $R$ is the residual, $yo$ is the observed value $y$ and $yp$ is the predicted value $y$ .

2- You only need to substitute the $x=5$ into the equation $y=2.5x-1.5$ and then, you must apply the formula for calculate the residual:

$y=2.5(5)-1.5\\ y=11$

$R=12-11\\ R=1$

The answer is: The residual is $1$

You might be interested in

Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible. The ambulance ride cos

ratelena [41]

To answer this question you would subtract the $250 deductible from $1400. The answer would be $1150 remaining After the deductible. You would then pay 10% of this $1150 for your cost. 0.10 times $1150 =$115. Add the $115 to the $250 deductible and your total cost would be $365.

8 0

2 years ago

The graphs below have the same shape. What is the equation of the blue

Soloha48 [4]

It would be (x-4)^2

It has a horizontal shift of 4 to the right

6 0

1 year ago

Read 2 more answers

Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four piec

jeka94

Answer:

a) Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean= 0.45, S.D= 0.6718

c) mean= 1.285, S.D= 8.74

Step-by-step explanation:

a) The following table shows the probability distribution of X:

X 0 1 2 3 4 or more

P(X) 0.58 0.23 0.11 0.05 0.03

Defect >2 = cannot be sold

Y = the number of defects on a fat quarter that can be sold by Company F.

Y = defect that can be sold

Y = Defect less or equal to 2 = 0,1,2

Probability distribution of the random variable Y:

Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean of Y (μ)

μ = Σ x*P(Y)

= (0*0.58) +(1*0.23)+(2*0.11)

= 0+0.23+0.22 = 0.45

Standard deviation of Y = σ

σ = Σ√(x-mean)^2*P(Y)

= Σ√[(x- μ )^2*P(Y)]

= √[(0-0.45)^2*0.58+ (1-0.45)^2*0.23 + (2-0.45)^2*0.11]

= √[0.11745 + 0.069575 +0.264275

= √(0.4513

σ = 0.6718

Company G:

σ for defect that be sold = 0.66

μ for defect that be sold = 0.40

Difference between μ of F and μ of G

= 0.45-0.40 = 0.05

Difference between σ of F and σ of G

= 0.67-0.66 = 0.01

Selling price of fat quarter without defect = $5

Discount per defect = $1.5

Selling price per defect = 5-1.5 = $3.5

Discount per 2 defect = $1.5*2 = $3

Selling price per defect = 5-3 = $2

Since defect to be sold cannot be greater than 2, let Y = 5,3,2

Probability distribution of the selling price Y:

Y 5 3 2

P(Y) 0.58 0.23 0.11

μ = (5*0.58) +(3.5*0.23)+(2*0.11)

μ = 2.9+0.805+0.22 =1.285

σ = Σ√[(x- μ )^2*P(Y)]

σ = √[(5-1.285)^2*0.58+ (3-1.285)^2*0.23 + (2-1.285)^2*0.11]

σ = 8.00+0.68+0.06 = 8.74

7 0

2 years ago

A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Su

JulijaS [17]

Answer:

The value is $P (I | L ) = 0.63$

The probability has increased

Step-by-step explanation:

From the question we are told that

The percentage that are from outside the country is $P(O) = 0.70$

The percentage that logs on everyday is $P(L) = 0.60$

The percentage that logs on everyday that are from the inside the country is $P(L | I) = 0.80$

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

$P (I | L ) = \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }$

Where $P(I)$ is the percentage that are from inside that country which is mathematically represented as

$P(I) = 1 - P(O)$

$P(I) = 1 - 0.70$

$P(I) = 0.30$

And $P(L| O)$ is percentage that logs on everyday that are from the outside the country which is evaluated as

$P(L| O) = 1- P(L| I)$

$P(L| O) = 1- 0.80$

$P(L| O) = 0.20$

$P (I | L ) = \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }$

$P (I | L ) = 0.63$

Given that the percentage that are from inside that country is $P(I) = 0.30$

and that the probability that a person is from the country given that he logs on the website every day is $P (I | L ) = 0.63$

We see that the additional information increased the probability

5 0

2 years ago

The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?

mario62 [17]

The dimensions are 40 inches by 55 inches.

Explanation:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.

Combining like terms, we have
2y+22/8y=190.

Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.

Divide both sides by 4 3/4:
(4 3/4y)÷(4 3/4)=190÷(4 3/4)
y=190÷(4 3/4).

Convert the mixed number to an improper fraction:
y=190÷(19/4).

To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.

Since y=40, 11/8y=11/8(40)=440/8=55.

8 0

2 years ago