A fitness trainer decided to track the combined weight loss of
several new customers. She recorded the combined weight loss
each month and kept track for 6 months. Identify the best
mathematical model with its corresponding R2 value and tell
whether it is a good model.
Month
1
2
3
4
5
6
Weight loss
175
120
95
63
44
30
4.
exponential model, 0.996
Yes, 0.996 is very close to 1.
quadratic model, 0.994
Yes, 0.994 is very close to 1.
quadratic model, 0.994
No, 0.994 is too high an R2 value.
exponential model, 0.996
No, 0.966 is too high an R2 value.

A Fitness Trainer Decided To Track The Combined Weight Loss Ofseveral New Customers. She Recorded The

Answers

Answer 1

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

What is an exponential model?

Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).

The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.

Given that a fitness trainer is tracking the combined weight loss of several new customers.

She is recording for 6 months.

Now, we have to find the best mathematical model with the corresponding R² value

Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.

The formula for coefficient of determination = (x-x')(y-y')/√∑(x-x')²(y-y')²

≈ 0.996

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

To know more about exponential model:

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Related Questions

What is the area of the rectangle?

Answers

Answer:

60

Step-by-step explanation:

multiply length times width l x w

length is 10

width is 6

10 x 6 is 60

The area of the rectangle is 54.
The length of the rectangle is 9, while the width of the rectangle is 6. To find the area, you must multiply length • width.
9•6=54

If in a game you play, gives you 40 candies, and one round takes 3 minutes, and you need 600 candies to buy 1 item.

How many minutes will it take to buy 30 items?

Answers

Answer:

1350min

Step-by-step explanation:

(600÷40)×3=45min for one item

45×30=1320 min for 30 items

can someone help?! please (:

Answers

Answer:

30.7

Step-by-step explanation:

How much farther is Neptune from the Sun than Mars?

---Neptune is 30.7 astronomical unit(s) farther from the sun

what does it mean when a negative number is in parentheses?

Answers

Usually negative numbers are in parentheses so people don't think that it is subtraction.

The correct answer is the negative sign indicates that the number or term inside the parenthesis is multiplied by a negative sign.

When a negative number is placed within parentheses, it typically indicates that the negative sign applies to the entire number or expression inside the parentheses.

In other words, it's a way to ensure that the negative sign is associated with the value inside the parentheses rather than being treated as an operator.

For example:

(-3) means negative three, which is the same as 3 but with a negative sign.

-(5 + 2) means the negative of the sum of 5 and 2, which is -7.

-x means the negative of the variable x.

In mathematical expressions, using parentheses to enclose a negative number ensures clarity and avoids ambiguity in the interpretation of the expression.

Learn more about Parentheses here:

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Find the value of x. 50​

Answers

The value of x is 47.

The angles of a triangle equal 180 degrees. You’re given two angles with the vale’s 83 degrees and 50 degrees. To find the remaining angle subtract the two angles from 180.

180 - 83 - 50 = 47.

Answer:

47 degrees

Step-by-step explanation:

The total angles of a triangle always equals 180. Therefore, just add the two angles together then subtract by 180 to get your answer:

180-83+50=47

help! please !!!!!!!!!!! lots of it

Answers

Answer:

Equilateral triangle

Step-by-step explanation:

All the angles are equal. So, it is and equilateral triangle and each angle is 60

Distance describes how far an object has moved along its path.


Displacement describes how far an object has moved from its starting point to its final position.

Answers

Step-by-step explanation:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Answer:

Distance travelled by skateboard is 1.5 miles.

Displacement is 1 mile.

PLEASE HELP I REWARD BRAINLIEST!!!!!!!!!!!!!!
no silly answers please

Answers

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x = 9

= 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x = -6

= -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

The graph of f(x) =In x the y axis is the _____ asymptote.
a. vertical
b. horizontal
c. oblique

explain your thinking

Answers

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

vertical because of a axis

[tex]\bf x-17=-25[/tex]

Answers

To solve this, add 17 to both sides:
x = -25 + 17
x = -8

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is :

[tex] - 8[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's solve ~

[tex]x - 17 = - 25[/tex]

[tex]x = - 25 + 17[/tex]

[tex]x = - 8[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

Is head circumference suitable for a bivariate study?

Answers

Yes it is because. Snsndnsnsndbs. Sndndw e

A linear function has a slope of 8/3 and passes through the point (0,5). What is the equation of the line?

Answers

This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.

Slope-Intercept Form: y = mx + b

---m is the slope

---b is the y-intercept

y = 8/3x + 5

Hope this helps!! :)

y = 8/3x + 5

hope this helps !! :)

Help me.

Fraction questions

Answers

Answer:

a)

2 sections

b)

9 sections

Step-by-step explanation:

a) there are total 8 boxes

so, for fraction 1/4

1/4 × 2/2 = 2/8

therefore shade 2 sections.

b) there are total 15 sections so to shade 3/5 of this shape

3/5×3/3 = 9/15

therefore , shade 9 sections.

hope this answer helps you dear...take care!

Help me with math please

Answers

(-3^3+2 · -2^2)^2-4^4

(-27+2 · -4)^2-4^4

(-27+(-8))^2-4^4

-35^2-4^4

1225-256

969

What is x^2-4+4? Thanks!

Answers

Answer:

(x-2)(x-2) or (x-2)^2

Step-by-step explanation:

Hope this helps!

 Simplify: 2k– 3k+ 3k ​

Answers

Step-by-step explanation:

2k - (3k - 3k) = 2k

please give me a brainliest answer

Answer:

2k

Step-by-step explanation:

Because all the values in our equation have the same variable, k, we can simply combine them.

We can begin with the first part of the equation:

2k - 3k

As you can see, we have to subtract, so 2 - 3 = -1, therefore, our answer right now is :

-1k, or -k

Now, we add on our other part of the equation:

-1k + 3k

We have to add now, so -1 + 3, which is the same as 3 - 1, equal 2. So, our most simplified form of this number sentence is:

2k

Hope this helps :)

The cost of making a cake is $5. the Baker wants to make a profit of $10 per cake and the cake is to be cut into 30 pieces, what is the selling price of each piece?

Answers

Answer:.

Step-by-step explanation:

What is the slope of the line on the graph?
Enter your answer in the box.

Please help me!

Answers

Answer:

6

Step-by-step explanation:

We can use the points on the line to find the slope

(0,-1) and (1,5)

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = (5 - -1)/(1-0)

   = (5+1)/(1-0)

    = 6/1

   = 6

Answer:

m = 6 units

Step-by-step explanation:

To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right

slope = rise /run = 6/ 1 = 6

*HELP*
Which of the following is the definition of a weighted average?
Group of answer choices

The ratio of the width to the height of a television screen.

a computing error caused by switching two adjacent digits.

an indicator, sign or measure of something.

An average resulting from the multiplication of each component by a factor reflecting its importance.

Answers

Answer: an average resulting from the multiplication of each component by a factor reflecting its importance.

Step-by-step explanation:

Answer:

An average resulting from the multiplication of each component by a factor reflecting it's importance.

Step-by-step explanation:

Assuming only one is selectable. Only possible answer doesn't need much explanation I believe.

A square has an area of 9 yd? What is the length of each side?

Answers

Answer:

3 yards

Step-by-step explanation:

The area of a square is its length × width, where the length and width are the same:

length × width = 9

Since, the length and width are the same lets call them x

x × x = 9 → x² = 9

To find x, find the square root of 9:

x² = 9 → x = √9 → The square root of 9 is 3

Each side has a length of 3 yards

Can someone please help me w/ this I need to plot the points on the graph (picture provied) then the answer is where ever the points met on the graph. ( please draw a line were they met u can screen shot the photo)
THE ANSWER IS SUPOSE TO LOOK LIKE THIS ( ___,___) IXL cc.2 8th grade

Answers

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

you jog 3 miles in 30 minutes. At that rate, how long will it take you to jog 6 miles​

Answers

Answer:

1 hour

Step-by-step explanation:

am i right

the answer is 1 hour!

What is the slope of (-6,-3) and (-2,-8)

Answers

Answer:

-5/4

Step-by-step explanation:

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

Answer:    slope =  - ⁵/₄

Step-by-step explanation:    

     The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (-8 - (- 3)) ÷ (-2 - (-6))    

                                          =   - ⁵/₄

Checking my answer:  

Finding the Equation  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-3) =  - ⁵/₄(x - (-6))

                                        y + 3 =  - ⁵/₄ (x + 6)

 

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 58 cm² (c) 60 cm² (d) 64 cm²​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]


ASAP please!!!
Triangle ABC has angle measures as shown show work.complete sentence
a. What is the value of x?
b. What is the measure of angle CAB?
d. When these 3 interior angles of a triangle are added together, what does it equal?​

Answers

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

a.

90 + 2x + (3x - 20) = 180

90 + 2x + 3x - 20 = 180

70 + 5x = 180

5x = 110

x = 22

b.

2(22) = 44

c.

The interior angles of a triangle add up to 180 degrees.

please give me a brainliest answer

PLEASE HELPPP I DONT UNDERSTAND ITTT

Answers

Answer:

-i

Step-by-step explanation:

[tex]i^{2}[/tex]=-1,[tex]i^{3}[/tex]=[tex]i^{2}[/tex]*i=-i

Add 2 1/2 + (-3 1/3). Write your answer as a mixed number in simplest form.​

Answers

Answer:

Exact Form: -⅚

Decimal Form: -0.83 repeating

Riley has r red peppers and 51 green peppers. Write an expression that shows how many peppers Riley has.

Answers

Answer:

r+51 peppers

Step-by-step explanation:

Please help with this linear equation question. Image Attached.

Answers

There is no image, and without the image, no answer.

Look at the equation shown below
Which of the following scenarios could be represented by the equation?
Cory is saving money by saving $3 per week. Her grandmother gave her $4 for her
birthday that she will put with her other savings. How many weeks. x win it take
her to save $322
Cory is saving money by saving $4 per week. She purchased a container for $3 that
she will use to store her money. How many weeks, x, will it take her to save $32
after paying for the container?
Cory is saving money by saving $3 per week. She purchased a container for $4 that
she will use to store her money. How many weeks x, will it take her to save $32
after paying for the container?
Cory has saved $32 and spends $4 on a large drink from Burger Bam. She wants to
buy several orders of fries that cost $3 aplece. How many orders of tries, x can Cory
buy after spending the $4 on the drink?

Answers

Answer:

106 weeks

9 weeks

9 weeks

9 tires

Step-by-step explanation:

1 (322-4)÷3=106

She nees to save for 106 weeks

2 (32+3)÷4=8.75

She need to save 9 weeks becouse complite decimal

3 (32+4)÷3=9

she need to save for 9 weeks

4.(32-4)÷3=9.33

she can order 9 tires

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