Below Is A Data Set. Use Desmos To Find The Slope, Y-intercept, And Correlationcoefficient Of The Least (2024)

Mathematics High School

Below Is A Data Set. Use Desmos To Find The Slope, Y-intercept, And Correlationcoefficient Of The Least (1)

Answers

Answer 1

The correlation coefficient of the least squares regression line is 0.9

How to determine the slope?

To do this, we enter the data values in a graphing calculator, and we interpret the results:

Using a graphing calculator, we have the following calculation summary

Sum of X = 83Sum of Y = 123Mean X = 13.8333Mean Y = 20.5Sum of squares (SSX) = 356.8333Sum of products (SP) = 365.5R = 0.8728

The slope (b) is calculated using:

b = SP/SSX

This gives

b = 365.5/356.83

b = 1.0

Hence, the slope is 1.0

How to determine the y-intercept?

The y-intercept (a) is calculated using:

a = MY - bMX

a = 20.5 - (1.02*13.83)

a = 6.3

Hence, the y-intercept is 6.3

How to determine the correlation coefficient?

In (a), we have:

R = 0.8728

Approximate

R = 0.9

This means that the correlation coefficient is 0.9

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Related Questions

Solve the inequality for x and identify the graph of its solution.

4|x + 3| < 8

Choose the answer that gives both the correct solution and the correct graph.

A.
Solution: x < 1 or x > 5; graph:

B.
Solution: x < –5 or x > –1; graph:

C.
Solution: x > –5 and x < –1; graph:

D.
Solution: x > –5 and x < –1; graph:

Answers

Answer:

D

Step-by-step explanation:

^^^

When rolling a number cube (dice), what is the probability of rolling a number greater than or equal to 4?

Answers

Answer:

3/6

Step-by-step explanation:

the probability of rolling a number greater than or equal to 4 is 3 out of 6 chances.

What are the x-intercepts of this function?
g(x) = -0.25x²-0.25x + 5

Answers

The x intercepts of the equation are -5 and 4.

Find \displaystyle \lim_{x\to 1}f(x)
x→1
lim

f(x)limit, start subscript, x, \to, 1, end subscript, f, left parenthesis, x, right parenthesis for f(x)=\sqrt{51-2x}f(x)=
51−2x

f, left parenthesis, x, right parenthesis, equals, square root of, 51, minus, 2, x, end square root.

Answers

[tex]\lim \limits_{x \to 1} \sqrt{51 -2x}\\\\=\sqrt{51 -2 (1)}\\\\=\sqrt{51-2}\\\\=\sqrt{49}\\\\=7[/tex]

What is the Volume of the prism? ​

Answers

Answer:

296.4cm

Step-by-step explanation:

you do 9.5cm x 5.2cm x 6cm = 296.4cm

Which box plot represents the data set 1, 1, 3, 3, 3, 7, 9, 9, 9, 9, 15?

Answers

The answer is C since it goes through all of the numbers

The answer is C because there’s a point at each number and the box needs to start on 3 then end on 9

Find the area bounded by the curve ay = x2 and the lines y = a and y = 4a.

Answers

The area bounded by the curve ay = x² and the lines y = a and y = 4a is [tex]\mathbf{ \dfrac{14a^2}{3} }[/tex]

How do you find the area bounded by a curve:

The area bounded by the curve can be determined by taking the integral of the curve such that: [tex]\mathbf{\int^{2a}_{a} x dy}[/tex]

From the given information:

[tex]\mathbf{\implies \int^{4a}_{a} (ay)^{1/2} \ dy}[/tex]

[tex]\implies \mathbf{ a^{1/2} \int^{4a}_{a} y^{1/2} \ dy}[/tex]

Applying power rule

[tex]\implies \mathbf{ a^{1/2} \Big[\dfrac{2}{3}y^{3/2}\Big] ^{4a}_0 }[/tex]

Taking the boundaries, we have:

[tex]\implies \mathbf{ a^{1/2}\dfrac{14}{3}a^{5/2} }[/tex]

[tex]\implies \mathbf{ \dfrac{14a^2}{3} }[/tex]

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Joni has a circular
garden with a diameter of 14;, feet. If
she uses 2 teaspoons of fertilizer for
every 25 square feet of garden, how
much fertilizer will Joni need for her
entire garden? Round to the nearest
tenth.

Answers

Answer:

12.31 teaspoons

Step-by-step explanation:

Calculate the area of a garden with a radius of 7 feet:

Area = [tex]\pi[/tex][tex]r^{2}[/tex]

Conversion factor (2 teaspoons/25ft^2)

Area = (3.14)(7)^2

Area = 153.9 ft^2

(153.9 ft^2)(2 teaspoons/25ft^2) = 12.31 teaspoons

How many full cases and additional items are needed to fulfill the order? 90 items ordered 8 per case

Answers

The required number of cases are 11 and the number of rest units are 2.

If any number a is divided by the number b then we write a/b and find the numerical values of this fraction.

How to find divide of two numbers?

Here we have given

One case = 8 units

Also we have given 90 units

If each case can accommodate 8 units and we want to calculate the overall number of cases, we must divide the number of units (8) in each case by the total number of units (90).

As you can see, we have a total of 11 cases and a 2 unit leftover after dividing by 8.

We won't be able to fill another case with 8 units, thus the remainder will be the number of additional units.

Therefore 11 cases and rest 2 units are the answers.

This is the conclusion to the answer.

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Find the value of X
Round to the nearest tenth

Answers

[tex]\tan 10^{\circ}=\frac{x}{500}\\\\x=500 \tan 10^{\circ} \approx \boxed{88.2}[/tex]

Geometry: Angle
d) If 2p° and (p + 15)° are a pair of complementary angles, find them.
e) If x° andare a pair of supplementary angles find them.
f) If pair of complementary angles are in the ratio 4:11, find them.
g) If a pair of supplementary angles are in the ratio 7:5, find them.​

Answers

Answer:

d) 2p° and (p+15) ° are complementary angles.

2p° + p° + 15° = 90°

3p° = 90° - 15°

p° = 75°/3

p = 25°

Now, 2p° = 2×25° = 50°

(p+15)° = 25°+15° = 40°

e) x° and x°÷4 are supplementary angles.

x° + x°÷4 = 180°

4x + x = 180°×4

5x = 180°×4

x = 180°×4/5

x° = 36° × 4 = 144°

And x°÷4 = 144/4 = 36°

f) Complementary angles in the ratio 4:11

Let the angles be 4x and 11x .

4x + 11x = 90°

15x = 90°

x = 6°

Now, 4x = 4×6 = 24°

11x = 11×6 = 66°

g) Supplementary angles in the ratio 7:5.

Let the angles be 7x and 5x.

7x + 5x = 180°

12x = 180°

x = 180°/12

x = 15°

Hence, 7x = 7×15 = 105°

5x = 5×15 = 75°.

Drag each tile to the correct location on the inequality. each tile can be used more than once. consider the graphed function. what are the domain and the range of this function? < ≤ -5 -4 1 7

Answers

The domain and range of the given graphed function attached in the brainly link are;

Domain; -5 ≤ x < 1

Range; -4 ≤ y < 7

How to Interpret Inequality Graph?

Domain is simply defined as the set of all possible input values. This means it's the values on the x-axis in the graph. Meanwhile, the range is the set of all output values which in this case is the values on the y-axis.

Now, from the graph, we see that the line stopped at 2 points.

The bottom one is shaded which means it includes the numbers at that point.

It's coordinates are (-5, -4)

Thus, we can write the domain here as; x ≥ -5

While the range will be; y ≥ -5

For the second point above on the graph, we see the point where it is is not shaded and this means that the coordinates at that point are not included in the range or domain.

Thus, domain here is; x < 1

The range is ; y < 7

Combining domain intervals for both points, we will get;

Domain; -5 ≤ x < 1

Similarly, combining range intervals for both points, we have;

Range; -4 ≤ y < 7

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what is the ratio of 150 , 240, and 400

Answers

Answer:

15 : 24 : 40

Step-by-step explanation:

Prime factorizing each term :

⇒ 150 = 5² × 3 × 2

⇒ 240 = 2⁴ × 5 × 3

⇒ 400 = 5² × 2⁴

⇒ The HCF is 5 × 2 = 10

⇒ Remove this factor when taking the ratio

==========================================================

Taking the ratio :

⇒ 150 : 240 : 400

⇒ 5 × 3 × 2 : 2³ × 3 : 2³ × 5

15 : 24 : 40

Answer:

[tex]15:24:40[/tex]

Step-by-step explanation:

[tex]~~~150:240:400\\\\=(15 \times 10):(24 \times 10):(40 \times 10)\\\\=15:24:40[/tex]

Which graph represents this system?
2x-5y=-5
y = ² x + 1
5

Answers

Answer:

[tex]x = \frac{5(y - 1)}{2} \\ \\ x = \frac{y - 1}{2} [/tex]

Step-by-step explanation:

[tex]2x = - 5 + 5y \\ 2x = 5y - 5 \\ x = \frac{5y - 5}{2} \\ \\ y - 1 = 2x \\ \frac{y - 1}{2} = x[/tex]

Which of the following is the equation for the graph shown?

Answers

Answer:

x equals 0

Step-by-step explanation:

it is a vertical line on zero and this is 1st grade level math

A dog is leashed to a point in the center of a large yard, so the area the dog is able to explore is circular. the leash is 15 feet long. what is the area of the region the dog is able to explore? round to the nearest tenth.

Answers

Answer:

About 706.5 ft.

Step-by-step explanation: The formula for area of a circle is the radius squared (multiplied by itself) times 3.14. So 15 times 15= 225, times 3.14=706.5

help me w circle theorems!! will give you a virtual hug

Answers

Answer:

I'm sorry I can't help if I can't see the problems clearly. :/

Step-by-step explanation:

Please Help I Don't Understand!!!

Answers

Answer:

A) the SSS similarity theorem

Step-by-step explanation:

Given triangles with all sides known.

Find the ratio of corresponding sides to determine if they are similar:

AC = 6 + 3 = 9

Ratio: 9/3 = 3

BC = 8 + 4 = 12

Ratio: 12/4 = 3

AB = 15

Ratio: 15/5 = 3

All three sides have same ratio. It means the triangles are similar by SSS similarity.

Correct choice is A.

Which of the following equations is written in standard form?
A) 4x-2y=0
B) -8x+4y=1
C) -3y+x-4=0
D) 2+3x-6y=0

Answers

Answer:

sorry

Step-by-step explanation:

..............

........

........

Answer: Choice B.

4R - 2Y = 0

Step-by-step explanation: Has integer coefficients and equal to 0.

the question is the image

Answers

Answer:

(- 4, 16 ) , ([tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex] )

Step-by-step explanation:

y = x² → (1)

7x + 2y = 4 → (2)

substitute y = x² into (2)

7x + 2x² = 4 ( subtract 4 from both sides )

2x² + 7x - 4 = 0 ← in standard form

(x + 4)(2x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

substitute these values into (1) for corresponding values of y

x = - 4 : y = (- 4)² = 16 ⇒ (- 4, 16 )

x = [tex]\frac{1}{2}[/tex] : y = ([tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{4}[/tex] ⇒ ( [tex]\frac{1}{2}[/tex] , [tex]\frac{1}{4}[/tex] )

need help! please be quick, love you

Answers

Answer:

r = [tex]\sqrt{ \frac{V}{pi h }[/tex]

Step-by-step explanation:

V = pi r^2 h

Divide both sides by pi h

V / pi h = pi r^2 h / pi h

V / pi h = r^2

Take the square root of each side

sqrt( V / pi h) =sqrt( r^2)

sqrt( V / pi h) = r

r = [tex]\sqrt{ \frac{V}{pi h }[/tex]

Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c Over 2 EndFraction minus 5 plus 5 equals 7 plus 5 Step 2: StartFraction c Over 2 EndFraction plus 0 equals 12 Step 3: StartFraction c Over 2 EndFraction equals 12 Step 4: 2 (StartFraction c Over 2 EndFraction) equals 12 (2) Step 5: c equals 24 Choose the property that justifies each step of the solution. Step 1: Step 2: Step 3: Step 4:

Answers

The answers are as follows:-

addition property of equalityintegers are closed to additionidentity elementmultiplication property of equalitycommutative property of multiplication; reals are closed to multiplication; identity element

What is addition?

The process of summing up the things or numbers or integrating something is termed the addition.

Given that:-

c/2 -5 = 7

Step 1: c/2 -5 +5 = 7 +5

Step 2: c/2 +0 = 12

Step 3: c/2 = 12

Step 4: 2(c/2) = 12(2)

Step 5: c = 24

The solution of the given expression will be done as:-

Step 1: addition property of equality (lets you add the same to both sides)

Step 2: integers are closed to addition

Step 3: identity property of addition (adding 0 changes nothing)

Step 4: multiplication property of equality

Step 5: closure of real numbers to multiplication; identity property of multiplication

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality. Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

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Answer: 1. A

2. D

3. C

4. B

Step-by-step explanation:

Just did it, edge 2023

Find the area of the square

Pleaseeee helpp meeee​

Answers

It’s a square, so all 4 sides are the same length, 16.8 inches, multiply 16.8 x 16.8 for area, 282.24 inches squared, or 23 feet and 6.24 inches squared, or 23.52 feet squared

Can someone help me please

Answers

Answer: Option B

Step-by-step explanation:

Prooving congruent through HL means that we can prove the hypotenuse and one of the legs between the two right-triangles are congruent. The only answer option that meets these requirements is option B.

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The scale on a map is 1 : 50000.
How many kilometres on the ground are represented by 8cm on the map?

Answers

The distance on ground that is represented by 8 cm on the map with the given scale is: 4 km.

What is the Scale of a Map?

The scale of a map relates the actual distance between two places in real life and the distance on paper.

Given the map scale as, 1:50,000, the number of km on ground that 8 cm on the map would be is calculated as shown below:

8 × 50,000 = 400,000 cm

Convert 400,000 cm to km. [1 km = 100,000]

400,000/100,000 = 4 km.

The distance on the ground would be: 4 km.

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Add (5x22x) +(6x-4).

Answers

Answer: -2640

Step-by-step explanation:

5x22 = 110 but you still have an multiplication symbol just ignore it for now

and multiply 6x-4 and when you multiply a positive and a negative you get a negative so it's -24 and you have to multiply 110 and -24

and that would be -2640

A commercial airplane broke a record when it traveled 5,540 kilometers from new york to london in 5 hours because of a strong jet stream. on the same day, a different airplane traveled 2,964 kilometers from denver to hartford in 3 hours. part a: how much further, in kilometers, did the plane from new york to london fly in one hour compared to the plane from denver to hartford?

Answers

The plane from new york to london fly 515.2 km per hour compared to the plane from denver to hartford .

What is Ratio ?

Ratio is when a number is divided by any other number and written in the form p:q.

It is given in the question that

A commercial airplane broke a record when it traveled 5,540 kilometers from new york to london in 5 hours .

a different airplane traveled 2,964 kilometers from denver to hartford in 3 hours.

The airplane travelled 5,540 kilometers in 5 hours

In 1 hour , the commercial airplane covered 5540/5 = 1108 km.

In 1 hour , the other airplane covered 2964/5 = 592.8 km

Therefore the plane from new york to london fly 1108- 592.8 = 515.2 km per hour compared to the plane from denver to hartford .

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In how many hours would they be 800 km apart?
*two cars a and b are having average speeds of 30 and 50 km per hours respectively leave the same point in opposite direction

pa help!!

Answers

The two cars (a and b) will be 800 km apart after 10 hours.

What is the average speed of a car?

The average speed of a car is the total distance traveled by a car within a specific period of covering such distance.


From the given information:

If the speed of car A (v_a) = 30 km/hr; andThe speed of car B (v_b) = 50 km/hr

The distance between both cars will be the hours they will meet:

i.e.

[tex]\mathbf{(v_a \times t)+(v_b\times t)= 800 \ km}[/tex]

[tex]\mathbf{(30 \times t)+(50\times t)= 800 \ km}[/tex]

30t + 50t = 800

80t = 800

t = 800/80 hrs

t = 10 hrs

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Question 4(Multiple Choice Worth 5 points)
(01.05 LC)
If x³ = 125, what is the value of x?
3
5
12
42

Answers

x=5
The value of x would equal 5, since 5 cubed would equal 125

One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x 16 is (x – 2). what are all the roots of the function? use the remainder theorem.

Answers

The factor of the function will be (x - 1), (x - 2), and (x + 2). Then the roots of the function will be 1, 2, and negative 2.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = 4x³ - 4x² - 16x + 16

Then the factor of the function will be

f(x) = 4x²(x - 1) - 16(x - 1)

f(x) = 4(x - 1) (x² - 4)

f(x) = 4(x - 1) (x² - 2²)

f(x) = 4(x - 1)(x - 2)(x + 2)

Then the roots of the function will be

x = 1, 2, -2

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Below Is A Data Set. Use Desmos To Find The Slope, Y-intercept, And Correlationcoefficient Of The Least (2024)

FAQs

How do you find the slope and y-intercept of a set of data? ›

Slope-Intercept Form of a Linear Function: This is a general form of a linear function given by the equation y = m x + b . In this equation, m stands for the slope of the function, and the b stands for the y-intercept of the function.

How to find a slope and y-intercept? ›

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.

How to find y-intercept from data set? ›

Once the slope has been identified, write a linear equation in slope-intercept form (y=mx+b). Using one set of coordinates (x,y) and the slope m, rewrite the equation by substituting the appropriate values for x, y, and m. Then, solve the equation for b to identify the y-intercept.

How to find correlation coefficient in Desmos? ›

For example, if you have two arrays in Desmos, where x = [1, 2, 3, 4, 5] and y = [2, 4, 6, 8, 10], you can calculate the correlation coefficient by typing corr(x, y) in the input bar.

How do you find the least regression? ›

The least-squares regression line equation is y = mx + b, where m is the slope, which is equal to (Nsum(xy) - sum(x)sum(y))/(Nsum(x^2) - (sum x)^2), and b is the y-intercept, which is equals to (sum(y) - msum(x))/N. N is the number of data points, and x and y are the coordinates of the data points.

How to get a regression equation from Desmos? ›

Once you have your data in a table, enter the regression model you want to try. For a linear model, use y1 ~ mx1+b m x 1 + b or for a quadratic model, try y1 ~ ax21+bx1+c a x 1 2 + b x 1 + c and so on.

How do you find the slope and intercept of data? ›

The formula for simple linear regression is Y = mX + b, where Y is the response (dependent) variable, X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept.

How do you find the y-intercept set? ›

To find y-intercept: set x = 0 and solve for y. The point will be (0, y).

What is the formula for the slope-intercept? ›

The slope-intercept formula of a line with slope m and y-intercept b is, y = mx + b. Here (x, y) is any point on the line.

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