Question

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Answer 1

@mathmate

Answer 2

HELP??

Answer 3

Have you done least squares regression line?

Answer 4

yes but a while ago, sorry

Answer 5

Here's a refresher.
http://easycalculation.com/analytical/learn-least-square-regression.php
If you post your answer, I can help you check it. There is a lot of numerical calculations involved, so be very organized when you do your calculations.
The given problem is quite long (12 data points). However, be very careful and make sure you plot your points in case there are outliers.

Answer 6

so when they say find x,y * x^2 do u just multiply the x's and y's for XY?

Answer 7

Yes, for each data point.

Answer 8

ok so what do I exactly do after finding XY and each x^2?

Answer 9

cuz im really confused there :(

Answer 10

Next step is to find N, \( \sum x,\sum y, \sum x^2, \sum xy \) as shown in step 3 of the reference.

Answer 11

what?? how do I multiply by the "sigma" symbol??

Answer 12

Sigma means sum.
\( \Sigma x \) means you add up all values of x (in your case there are 12 of them).
Similarly, \( \Sigma xy \) means you add up the products xy of each and every data point,
and so on.

Answer 13

im so confused, because im really bad w/ the sigma and summation notation things :(

Answer 14

so how would I do that?????

Answer 15

when u say add up all values of x do I add up the all the values after I did XY?

Answer 16

Look at the reference link, step 2.
THere is a table.
The heading that says X has 5 values (60,61,62,63,65).
\( \Sigma x \) means add all those numbers in column X, or as you can see in step 3:
\( \Sigma x \) = 60+61+62+63+65 = 311

Answer 17

oh so just add up all the x values given then. in this case add 3 + 6+9+... right?

Answer 18

Yes, for \( \Sigma x \)

Answer 19

so that would be x= 168
& y= 336

Answer 20

then?

Answer 21

do the same for XY and x^2? add all of them up?

Answer 22

ok so for XY= 5713
& x^2= 2888

Answer 23

then what?

Answer 24

im sorry Ive spent too much time on this problem already!!!

Answer 25

You are the master of your own time and priorities.
I will do my best to help you and, as you said, understand the problem and how to get the solution.
That being said, if you have done all that, the most tedious part is done.
Now follow steps 5 and 6 and get your answers in a jiffy.

Answer 26

which is... Intercept(a) = (ΣY - b(ΣX)) / N ???? :( :(

Answer 27

so ΣY= 336
336-b(168) / 12?

Answer 28

is that right???????

Answer 29

how do I solve that though? I mean we're looking for B!!

Answer 30

Sorry, you'd have to find b first using step 4.

Answer 31

:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((:( :(

Answer 32

Slope(b) = (NΣXY - (ΣX)(ΣY)) / (NΣX2 - (ΣX)2) :( :(
this would be:
12*5713 - (168)(336) / 12*(2888 - (168)^2 ???

Answer 33

AM I RIGHT?

Answer 34

N=12
\( \Sigma x =168\)
\( \Sigma y = 336\)
are correct.
What did you get for \( \Sigma xy\)?

Answer 35

What are your final values of a and b?

Answer 36

as a final I got:
12108 / 6432 and answer: 1.882.....

Answer 37

step 4 would be MY FINAL STEP RIGHT? because I just need to find b???

Answer 38

Yes, 1.882 is correct.
It might read 1.88246...

Answer 39

ok to the hundredths would be 1.88

Answer 40

Yes, now you can proceed to find a, which is required in step 5.

Answer 41

thank u... :( unfortunately I had to spend an HOUR on this.. but thank u

Answer 42

b is required in step 5 to find a.

Answer 43

A??? why do I need to find a?? it says to find the slope!

Answer 44

True! My bad.

Answer 45

ok

Answer 46

one more thing:

Answer 47

yes?

Answer 48

Two dice are rolled. What is the probability of the event that you roll a total of seven OR eleven on the two dice? Reduce fractions to lowest terms.

Answer 49

I know that out of 36, the probability of rolling a 7 is SIX OUT OF THIRTY-SIX??

Answer 50

its out of 36 right?

Answer 51

and a probability of a total sum of 11 is only TWO

Answer 52

so is it 6/36 + 2/36 ?

Answer 53

Rolling two dice gives 36 outcomes, out of which we get
{16,25,34,43,52,61,65,56}
which are the only ones to satisfy the requirements for "success".
I'll leave that to you to figure out the answer, ok?

Answer 54

????

Answer 55

whered u get 16...25...34..

Answer 56

1+6=7, 2+5=7,....
All possible ways to get the right sum.

Answer 57

yea but I have a 6X6 table of outcomes to make it easier....

Answer 58

@vinnv226

Answer 59

is the final answer 8/36? which becomes 5/18 ??

Answer 60

@mathmate