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3 years ago

What is the line of best fit? Why do we want the sum of the residuals to be as close to zero as possible?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

What sis line of best fit?

The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.

Why do we want the sum of the residuals to be as close to zero as possible?

The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.

We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.

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An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 micros

iragen [17]

Answer:

a) P (COO) = 0,135

b) P ( SISI) = 0,00015

Step-by-step explanation:

a) the probability of an ion channel in open position is 50 % 0,5

the probability of an ion channel in close position is 50 % 0,5

probability for the following sequence of states COO

to be closed 0,5 (C)

from (C) to pass to open 0,3 (O)

and to stay O is 0,9

Then the probability of the sequence of states COO is

P (COO) = 0,5 * 0,3 * 0,9

P (COO) = 0,135

b) If people are either infected or susceptible, then

Probability of an individual infected is 0,5

Probability of an individual susceptible is 0,5

to pass from susceptible to infected is 0,05

to pass from infected to susceptible is 0,12

then

P ( SISI) = 0,5 * 0,05*0,12*0,05

P ( SISI) = 0,00015

probability for the following sequence of states COO

4 0

3 years ago

Landscape company sold 25 trees on Friday. There were a total of 125 trees in inventory. What percent of the trees were sold on

Arte-miy333 [17]

Answer: 20%

Step-by-step explanation:

First determine how many times 25 fits in 125. It’s 5 right. Now turn that into a percent. That leading to 20%

5 0

3 years ago

Read 2 more answers

HELP What is the area of this figure?

Mademuasel [1]

The correct answer is: [B]: "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ;

in which: " A = area (in units 'squared') ; in our case, " yd² " ;

" b = base length" = 6 yd.

" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;

= " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

A = s² ;

in which: "A = area (in "units squared") ; in our case, " yd² " ;

"s = side length (since a 'square' has all FOUR (4) equal side lengths);

A = s² = (4 yd)² = 4² * yd² = "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
→ " 24 yd² + 16 yd² " ;

to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
_________________________________________________

4 0

3 years ago

Vector MN is comprised of the points M(8,-4) and N(-7,-2).

Ksenya-84 [330]

Answer:

22/65/53 +r 76 = 228594

Step-by-step explanation:

First 22/65/53+r 76 = 228594

3 0

3 years ago

A map has a scale of ¾ inch represents 6 miles. If two towns are 32 miles apart, what is their distance apart on the map?

serious [3.7K]

3/4 in = 6 mi
? In = 32 miles

32 * 0.74 / 6 = 4 in
The distance apart is 4 in

7 0

2 years ago

Read 2 more answers