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Bogdan [553]
2 years ago
5

40 POINTS- Are a logistic equation and a logistic regression model the same thing? If not, what's the difference?

Mathematics
1 answer:
pychu [463]2 years ago
8 0

Answer: They are diffrent

Step-by-step explanation: The logistic equation was first published by Pierre Verhulst in 1845. This differential equation can be coupled with the initial condition P(0) = P0 to form an initial-value problem for P(t). Suppose that the initial population is small relative to the carrying capacity. Then P K is small, possibly close to zero.

The logistic regression coefficients are the coefficients b 0, b 1, b 2,... b k of the regression equation: An independent variable with a regression coefficient not significantly different from 0 (P>0.05) can be removed from the regression model (press function key F7 to repeat the logistic regression procedure).

By the way, this is copied from the internet.

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I surveyed students in my Math II classes to see how many hours of television they watched the night before our big test on tria
Oduvanchick [21]
Given the table below representing the number of hours of television nine Math II class students watched the night before a big test on triangles along with the grades they each earned on that test.

\begin{center}
\begin{tabular}
{|c|c|}
Hours Spent Watching TV & Grade on Test (out of 100)  \\ [1ex]
4 & 71 \\ 
2 & 81 \\ 
4 & 62 \\ 
1 & 86 \\ 
3 & 77 \\ 
1 & 93 \\ 
2 & 84 \\ 
3 & 80 \\ 
2 & 85
\end{tabular}
\end{center}

Let the number the number of hours of television each of the students watched the night before the test be x while the grades they each earned on that test be y.

We use the following table to find the equation of the line of best fit of the regression analysis of the data.

\begin{center} \begin{tabular} {|c|c|c|c|} x & y & x^2 & xy \\ [1ex] 4 & 71 & 16 & 284 \\ 2 & 81 & 4 & 162 \\ 4 & 62 & 16 & 248 \\ 1 & 86 & 1 & 86 \\ 3 & 77 & 9 & 231 \\ 1 & 93 & 1 & 93 \\ 2 & 84 & 4 & 168 \\ 3 & 80 & 9 & 240 \\ 2 & 85 & 4 & 170 \\ [1ex]\Sigma x=22 & \Sigma y=719 & \Sigma x^2=64 & \Sigma xy=1,682 \end{tabular} \end{center}

Recall that the equation of the line of best fit of a regression analysis is given by
y=a+bx
where:
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2}
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2}

y=\frac{(719)(64)-(22)(1,682)}{9(64)-(22)^2}+\frac{9(1,682)-(22)(719)}{9(64)-(22)^2}x \\  \\ = \frac{46,016-37,004}{576-484} + \frac{15,138-15,818}{576-484} x \\  \\ = \frac{9,012}{92} + \frac{-680}{92} x \\  \\ =97.95-7.391x

Thus, the equation of the line of best fit is given by y = 97.95 - 7.391x

<span>A student that watched 1.5 hours of TV will have a score given by
y = 97.95 - 7.391(1.5) = 97.95 - 11.0865 = 86.8635

Therefore, </span><span>a student’s score if he/she watched 1.5 hours of TV to the nearest whole number is 87.</span>
6 0
3 years ago
Which shows one way to determine the factors of x^3-12x^2-2x+24
SashulF [63]
Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
=(x-12)(x-√2)(x+√2)


8 0
3 years ago
The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an
Ivanshal [37]

Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

A=LW

we have

L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft

substitute

A=(12)(10.5)=126\ ft^2

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

so

we have

L=(12+x)\ ft\\W=10.5\ ft

The new area is

A=10.5(12+x)\ ft^2

The expanded form of the expression is

Apply distributive property

A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2

6 0
3 years ago
Pluto is looking into joining a gym. He has a budget of $68 per month. The gym he wants to join has fees based on the number of
Artist 52 [7]
7(10 visits) ≤ 68
70 ≤ 68
Not Viable


7(9 visits) ≤ 68
63 ≤ 68
Viable


The first solution is not viable because 10 visits will give a total cost of $70 per month, which is $2 over his monthly budget of $68.

The second solution is viable. He could visit the gym a maximum of 9 times per month for a total of $63 a month and that will be under his $68 monthly budget.

Hope this helps! :)
6 0
3 years ago
Karla has a cylindrical candy jar that is 5 inches tall and has a radius of 1.25 inches. The candy jar is 75% full. How much vol
elena-s [515]

Answer:

I think the answer is 18.3984375 inches

8 0
2 years ago
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