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.
Answers
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 R² = (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.
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Related Questions
this problem is difficult and i dont want homework
Answers
Answer:
The area is 49/12 or 4 1/12
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × base × height
a = 1/2 × 3 1/2 × 2 1/3 (4 2/3 is not the height!)
a = 1/2 x 7/2 x 7/3 (I converted all the fractions into improper fractions)
a = 49/12 (1 × 7 × 7 = 49, 2 × 2 × 3 = 12)
You can convert it back to a mixed number:
49/12 = 4 1/12
Hope this helps!
Pleasee help me this stuff hard
Answers
Answer:
3x-8=2x+8
1x-8=8
1x=16
x=16
your answer is x=16.
please help picture below
Answers
(-5) + 5 = 0
In triangle XYZ, LX = 45°, LY
= 65°
Find the size of LZ.
PLEASE HELP ILL PAY U $10
Answers
Answer:
Angle Z is 70 degrees
Step-by-step explanation:
The 3 angles of a triangle add up to 180 degrees. Angle x is 45, angle y is 65.
180-45-65 = 180-110 = 70
The number of protons to neutrons in the nucleus of an atom is 5 to 6.If the numbers of protons in the nucleus is 30 then find the number of neutrons
Answers
Answer:
36 neutrons
Step-by-step explanation:
The ratio of the protons to neutrons is 5:6, or 5 protons/6 neutrons. You know there are 30 protons, so this means you can set up proportions. Keeping the protons on the top, 5 protons/6 neutrons = 30 protons/x neutrons. You can cross-multiply from here, but how I find it helpful to think of it is seeing that you have to multiply 5 protons by 6 to get to 30 protons, so you'd have to also multiply the 6 neutrons by 6 to get x neutrons. Doing so (6x6) will get you 36. Don't forget your units! (:
If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42
Answers
Similar shapes may or may not be congruent
The length of DE is 42 units
The given parameters are:
[tex]\mathbf{AC = 84}[/tex]
[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint
The equivalent ratio is then represented as:
[tex]\mathbf{BD : DE = BA : AC}[/tex]
Substitute [tex]\mathbf{BA = 2BD}[/tex]
[tex]\mathbf{BD : DE = 2BD : AC}[/tex]
Express as fraction
[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]
Make DE the subject
[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]
[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]
Substitute 84 for AC
[tex]\mathbf{DE= \frac{84}{2 }}[/tex]
[tex]\mathbf{DE= 42}[/tex]
Hence, the length of DE is 42 units
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Please help due today
Select all values equal to 4/5
A -(-4/5)
B -(-4/-5)
C -4/-5
D 4/-5
Answers
Isis bought 5 sunshades at $10.30 each and 3 beach towels at $8.99 and a hat that cost $29.99. The sales tax is 6.7%. What is the cost of the purchase?
Answers
Answer:
$115.73
Step-by-step explanation:
10.30×5=51.50
8.99×3=26.97
51.50+26.97+29.99=108.46
108.46+6.7%
108.46+7.27=115.73
where is the point (7, -1-0) loacted on the coordinate plane?
Answers
What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answers
Answer:
x = 2
So the value of x is 2
The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 50°C?
Answers
Answer:
122°F
Step-by-step explanation:
F=(50×9/5)+32
= 122°F
Please help!
17. A salesperson earns a base monthly salary of $2000 plus a 10% commission on sales. The salesperson's
monthly income I (in dollars) is given by the function I(s) = 0.1s + 2000, where s is the sales (in
dollars) that the salesperson makes. Sketch a graph to illustrate each situation using the graph of
I(s) = 0.1s + 2000 as a reference.
A. The salesperson's base salary is increased.
B. The salesperson's commission rate is decreased.
Answers
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
The function is given as:
[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]
When the base salary is increased, a possible function is:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
See attachment for the graphs of both functions
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James scored a total of 60 points during 2 games of basketball. He scored 3 times as many points in the second game what were
James's point totals for each game?
first game: 10 points; second game: 50 points
first game: 15 points; second game: 45 points
first game: 20 points; second game: 40 points
first game: 25 points; second game: 35 points
Answers
Answer:
15 and 45
Step-by-step explanation:
15*3=45
15+45=60
hope this helps!
Is this equation in standard form?
3xy+ y2=4
Answers
Answer:
standard form is {Ax+By=c}
as mentioned above the given equation is not in {Ax+By=c}..
hence it's not in standard form
Answer:
ax+by=c so no
Step-by-step explanation:
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
Answers
Answer:
A Translation 4 units leftwards followed by a reflection across the x-axis.
Step-by-step explanation:
he transformations are:
Translation 4 units leftwards.
Reflection across the x-axis.
You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.
Name the part of AKTH.
TS is a(n) [blank].
PLEASE PLEASE HELP !!!
Answers
Answer:
I'm pretty sure that's an angle.
Step-by-step explanation:
Can anyone help me with this?
Answers
Answer:
Step-by-step explanation:
f(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x
Answers
Answer:
x = - 25 , x = 84
Step-by-step explanation:
Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides
- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )
- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )
- 3x = 75 ( divide both sides by - 3 )
x = - 25
---------------------------------------------------------
Similarly equate right sides
- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )
- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )
- x = - 84 ( multiply both sides by - 1 )
x = 84
Find the arc length of the subtending arc for an angle of (3pi)/8 on a circle of radius 4.
Answers
Answer:
3pi/2
Step-by-step explanation:
(4) 3pi/8 =3pi/2
Algebra 2 - Standard form of a quadratic function
1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth
2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth
Answers
Using quadratic function concepts, it is found that:
1) The equation is [tex]y = -0.08x^2 + 4x[/tex]
2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
In this problem:
The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.Item 1:
The vertex is: [tex]V(x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, it is (25,50). Thus:
[tex]-\frac{b}{2a} = 25[/tex]
[tex]-b = 50a[/tex]
[tex]b = -50a[/tex]
[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]
[tex]-b^2 = 200a[/tex]
[tex]-(50a)^2 = 200a[/tex]
[tex]-2500a^2 - 200a = 0[/tex]
[tex]200a(-12.5a - 1) = 0[/tex]
Then, as [tex]a \neq 0[/tex]
[tex]a = -\frac{1}{12.5} = -0.08[/tex]
[tex]b = -50a = -50(-0.08) = 4[/tex]
Thus, the equation, in standard form, is:
[tex]y = -0.08x^2 + 4x[/tex]
Item 2:
The distances are the values of x for which:
[tex]y = 10[/tex]
Then
[tex]-0.08x^2 + 4x = 10[/tex]
[tex]-0.08x^2 + 4x - 10 = 0[/tex]
Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:
[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]
[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]
[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]
The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A similar problem is given at https://brainly.com/question/24713268
3. Dean has these cans of soup in his kitchen cabinet: 2 tomato, 3 chicken, 2 cheese, 2 potato, 1 beef. Dean will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of beef soup both times? *
Answers
Answer:
2/20 or 0.1
Step-by-step explanation:
So we are given this data:
Tomato = 2
Chicken = 3
Cheese = 2
Potato = 2
Beef = 1
Total Chances (Sum Of All)
Total = 10
Beef is 1
To get beef soup one time it would be 1/10
what about 2 times
we can just multiply by 2*
so 1 / 10 * 2 = 2 / 20 or 0.1
The Answer would be 2/20 or 0.1
calcular el valor de la fuerza desconocida en cada gráfico, si el sistema esta en equilibrio (les pongo coronita :c ayuda porfaaa)
Answers
Answer:
7. F=24N
8. P=16N
Step-by-step explanation:
the sum of all forces will equals 0
CAN SOMEONE PLEASE HELP MEEEE
Answers
Answer:
a) and e)
Step-by-step explanation:
7 * 1/2 = 3.5
3.5 / 2 = 1.75
? = 1.75
a) 2 * 1.75 = 7 * 1/2 (correct!)
b) 7 * 1/2 * 1.75 = 2 (wrong!)
c) 2 * 7 * 1/2 = 1.75 (wrong!)
d) 1.75 * 7 * 1/2 = 2 (wrong! this is the b) backwards)
e) 1.75 * 2 = 7 * 1/2 (correct! this is the a) backwards)
a. How are the functions y = x and y = x + 4 related? How are their graphs related?
Answers
Step-by-step explanation:
gggggggggggggiiiiiiiiiiii
What’s the slope of (-7,2) and (1,4)
Answers
Answer:
1/4
Step-by-step explanation:
Slope = (change in the y-values)/(change in the x-values)
Slope = (4 - 2)/(1 - (-7) )
Slope = (4 - 2)/(1 + 7)
Slope = 2/8
Slope = 1/4
what is the x-intercept of the line 6x-3y=24
Answers
Solving Steps:
To make things easier, let’s put the equation in slope-intercept form.
6x - 3y = 24
-3y = -6x + 24
y = 2x - 8
The equation of the x-axis is y = 0, so to find an x-intercept, set the equation equal to 0.
0 = 2x - 8
2x = 8
x = 4
❗ℂℝℝℂ ℕℝ+ℙℕℕ ℍ ℝ ℝℕ + ℙℕ❗
~Simplify fully:
[tex] \sqrt{12} [/tex]
[tex] \sqrt{27} [/tex]
[tex] \sqrt{50} [/tex]
thanks xx)
Answers
Answer:
Exact Form: 2 √ 3 , 3 √ 3 , 5 √ 2
[tex] \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }[/tex]
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
[tex] \sqrt{27} \\ = \sqrt{9 \times 3} \\ = \sqrt{3 \times 3 \times 3} \\ \boxed{3 \sqrt{3} }[/tex]
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
[tex] \sqrt{50} \\ = \sqrt{5 \times 10} \\ = \sqrt{5 \times 5 \times 2} \\ = \boxed{5 \sqrt{2} }[/tex]
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page
Answers
Answer:
10/21
Step-by-step explanation:
Number of minutes required for printing 21 pages: 10
So, number of minutes required for printing 1 page
= 10/21
(= 0.47 = 0.5 [approximately])
Find the measures of the interior angles.
Answers
The three inside angles of a triangle when added together need to equal 180 degrees.
To find x subtract the other two angles from 180:
X = 180 - 65 - 40
X = 75
approxomate negative square root of 23 to the nearest tenth. draw the point on the number line
Answers
Answer:
Step 1: Calculate
We calculate the square root of 23 to be:
√23 = 4.79583152331272
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
4.79
Step 3: Round
Round 4.79 so you only have one digit after the decimal point to get the answer:
4.8
To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.
The negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.
What is a perfect square number ?Number which are formed by multiplying a number with itself once are called perfect square numbers.
Now the given number is,
negative square root of 23
Thus we have, [tex]-\sqrt{23}[/tex]
So the value of [tex]-\sqrt{23}[/tex] is -4.79
To round to the nearest tenth, so the digit at the tenth place is 7 and digit at right of 7 is 9 which is greater than 5 so roundup the digit.
Thus we get,
[tex]-\sqrt{23}[/tex] = 4.8
Thus, this point will lie between 4 and 5 and more closer to 5.
Thus, the negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.
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