Is there an actual $f(\phantom{\rule{.1em}{0ex}}{p}_{1},\phantom{\rule{thinmathspace}{0ex}}{p}_{2})=\stackrel{\text{some formula}}{\stackrel{\u23de}{\phantom{Loremipsum}}}$ to get the y intercept of a line from 2 points?

makaunawal5
2022-07-19
Answered

Is there an actual $f(\phantom{\rule{.1em}{0ex}}{p}_{1},\phantom{\rule{thinmathspace}{0ex}}{p}_{2})=\stackrel{\text{some formula}}{\stackrel{\u23de}{\phantom{Loremipsum}}}$ to get the y intercept of a line from 2 points?

You can still ask an expert for help

yermarvg

Answered 2022-07-20
Author has **19** answers

If $p=(a,b)$ and $q=(c,d)$ then the line between them has equation

$(y-b)(c-a)=(x-a)(d-b)$

Set $x=0$ and solve for $y$ to get your formula for the $y$ intercept in terms of $a,b,c,d$.

$(y-b)(c-a)=(x-a)(d-b)$

Set $x=0$ and solve for $y$ to get your formula for the $y$ intercept in terms of $a,b,c,d$.

asked 2022-06-19

Ambiguity between methods of calculating quartiles. Which method is more correct?

I am having confusion between two methods of calculating the first quartiles.

Let me explain by an example:

$A=[1,2,3,4,5]$

The method that I know:

To find the first quartile in the list above I first find the median = $3$ that is the 3rd element.

Now I split the list in the following fashion:

$(1,2)$

$3$

$(4,5)$

Now we take the list $(1,2)$ and we find the media between them that is $(1+2)/2=1.5$

So according to my calculation the first quartile ${Q}_{1}=1.5$

The nearest rank method

$n=\lceil \frac{P}{100}\times N\rceil $

So for the above list the $0.25$ percentile or the first quartile ${Q}_{1}$ will be

$\lceil \frac{25}{100}\times 5\rceil =2$

which is 2nd position.

So which is correct $1.5$ or $2$ ? Or does chosing any of them is fine ?

If I am correct in my original calculation why am I getting a difference between the 2 methods.

I am having confusion between two methods of calculating the first quartiles.

Let me explain by an example:

$A=[1,2,3,4,5]$

The method that I know:

To find the first quartile in the list above I first find the median = $3$ that is the 3rd element.

Now I split the list in the following fashion:

$(1,2)$

$3$

$(4,5)$

Now we take the list $(1,2)$ and we find the media between them that is $(1+2)/2=1.5$

So according to my calculation the first quartile ${Q}_{1}=1.5$

The nearest rank method

$n=\lceil \frac{P}{100}\times N\rceil $

So for the above list the $0.25$ percentile or the first quartile ${Q}_{1}$ will be

$\lceil \frac{25}{100}\times 5\rceil =2$

which is 2nd position.

So which is correct $1.5$ or $2$ ? Or does chosing any of them is fine ?

If I am correct in my original calculation why am I getting a difference between the 2 methods.

asked 2020-11-01

Answer true or false to each statement. Explain your answers.

a. Two normal distributions that have the same mean are centered at the same place, regardless of the relationship between their standard deviations.

b. Two normal distributions that have the same standard deviation have the same spread, regardless of the relationship between their means.

a. Two normal distributions that have the same mean are centered at the same place, regardless of the relationship between their standard deviations.

b. Two normal distributions that have the same standard deviation have the same spread, regardless of the relationship between their means.

asked 2021-09-13

Choose the right answer:

A contingency table …..

a) involves two mutually exclusive variables

b) is a two-way table

c) is a two-way table and involves two variables

d) involves two variables

A contingency table …..

a) involves two mutually exclusive variables

b) is a two-way table

c) is a two-way table and involves two variables

d) involves two variables

asked 2021-12-03

On February 11, 2021, in a poll conducted by CBS News, 2251 of 6016 randomly chosen people are in favor of conviction of Donald Trump as impeachment trial begins.

a) Compute a sample statistic from these data. Use appropriate notation to label your statistic.

a) Compute a sample statistic from these data. Use appropriate notation to label your statistic.

asked 2021-11-27

March Madness Movies served 23 lemonades out of a total of 111 fountain dri

last weekend.

Based on this data, what is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade?

last weekend.

Based on this data, what is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade?

asked 2021-09-09

Choose the right answer for the question: "Regardless of individual seat-belt use, does living in a community with strict auto-safety laws affect individual risk of auto-related mortality?”

a) experimental study design

b) ecological study design

c) contextual or multi-level study design

d) case-control study design

a) experimental study design

b) ecological study design

c) contextual or multi-level study design

d) case-control study design

asked 2021-11-29

Construct your own table showing probability distribution using 8 data. Solve for mean, variance and standard deviation of the distribution.