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Mathematics 10 Online
zarkam21 (zarkam21):

Help please hard chemistry chart (btw I know this is math) Need help with Data Table 2 In Data table-2, you are given 8 different masses and volumes for metals A-B-C. These are values that will provide (x,y) points on your graph to show that density remains constant for each metal. Mass is plotted on the (y-axis) and volume is plotted on the (x-axis). The slope of each line, y/x which will be mass/volume will indicate the different densities for metals A,B, and C. Your lab value for denisty is your (E) value; while the actual value in a table of values is your (A) value. You will use these values to calculate the experimental error: (E-A)/A

zarkam21 (zarkam21):

OpenStudy (3mar):

What is the required?

OpenStudy (mww):

For each metal, plot the points as (volume, mass) on a cartesian plane and show they tend to fit a straight line. Calculate the slope which is mass/volume which will give you the density of your metal.

zarkam21 (zarkam21):

Hi @3mar

zarkam21 (zarkam21):

I am back

OpenStudy (3mar):

Welcome back! \[\Huge\color{red}ツ\]

zarkam21 (zarkam21):

Okay so seeing what you said, I am about to plot the points because that is step one right?

OpenStudy (3mar):

Could you give me 2 min, please?

zarkam21 (zarkam21):

Of course, brother =)

OpenStudy (3mar):

Thank you for your patience.

zarkam21 (zarkam21):

=)

zarkam21 (zarkam21):

@3mar available yet?

zarkam21 (zarkam21):

@mww Help please, I think @3mar brother got caught up in something

OpenStudy (mww):

did you plot the points?

zarkam21 (zarkam21):

Lemme do that now

zarkam21 (zarkam21):

Do I plot all 8 points for the 3 metals?

OpenStudy (mww):

you do them on separate graphs then draw a line of best fit through them and calculate the slopes.

OpenStudy (mww):

remember volume is the x axis and mass the y axis. You can also use your table to do a mass/volume calculation for each entry and then average these to see how well your slope line compares to this average. Should be very close.

zarkam21 (zarkam21):

zarkam21 (zarkam21):

zarkam21 (zarkam21):

zarkam21 (zarkam21):

Here you go, first step is done. I graphed all the points

OpenStudy (mww):

ok do you know how to draw the trendline and calculate the slope?

OpenStudy (3mar):

I am so sorry for late! I was doing something for my mother! I apology!

OpenStudy (mww):

There is a way to do it on Excel. you can have x and y columns to enter your data then --> insert --> charts --> scatterplot. under chart elements, add trendline, and under trendline options, select 'set intercept' to 0.0 and check 'show equation'.

zarkam21 (zarkam21):

Okay so do that and then tell you the equation?

OpenStudy (mww):

well the slope is inherent in the equation it spits out. for a line y = a + bx has the slope being the coefficient of x, which is the b value.

zarkam21 (zarkam21):

I dont have excel

zarkam21 (zarkam21):

@3mar

OpenStudy (3mar):

yes, sister!

zarkam21 (zarkam21):

help please , look I graphed it

OpenStudy (3mar):

so where did you reach?

zarkam21 (zarkam21):

I graphed the points on the graph by (volume,mass). I don't know the next step.

OpenStudy (3mar):

Did you do a table or just points?

zarkam21 (zarkam21):

just points, don't you see it above

zarkam21 (zarkam21):

:(

OpenStudy (3mar):

I mean: table like that is better than just points. Let me show up my points! https://www.desmos.com/calculator/kwn5jv2n5v

zarkam21 (zarkam21):

Oh so instead of graphing them make a table

OpenStudy (3mar):

That is right! By doing so, you will get the line fitting easy as I have illustrated! Did you get the idea?

zarkam21 (zarkam21):

Yes so do I do the rest of the metals?

OpenStudy (3mar):

Yes, individually of commonly, as you wish! familiar or need a push?

zarkam21 (zarkam21):

zarkam21 (zarkam21):

@3mar

zarkam21 (zarkam21):

Here you go @3mar brother

OpenStudy (3mar):

You are Awesome! Ma Sha' Allah! Then did you get the regression/line fitting or your three tables?

zarkam21 (zarkam21):

What do you mean, can you explain more. I am not quite understanding

OpenStudy (3mar):

I did for metal A, and you did for B and C. right? What is the best line fit did you get for B and C? Clear now?

zarkam21 (zarkam21):

Line fit so see the points>?

OpenStudy (3mar):

How much the line fits the points? Look at \(r^2\) under the relation (y1~ax1+b) got it?

zarkam21 (zarkam21):

Can you give me an example. sorry brother I am confused

zarkam21 (zarkam21):

It says r^2 =1

OpenStudy (3mar):

That is awesome! That means the line is definitely fits the input data 100%

zarkam21 (zarkam21):

So for both of them it fits?

OpenStudy (3mar):

Is \(r^2=1\) for both?

zarkam21 (zarkam21):

no

OpenStudy (3mar):

so which one has \(r^2=1\), and what about the other one?

zarkam21 (zarkam21):

metal C has r^2=1

OpenStudy (3mar):

Very good! and meta A that I have done is 0.991 what about B?

zarkam21 (zarkam21):

0.966

OpenStudy (3mar):

That is good! So: A = 0.991 B = 0.996 C = 1 Right?

zarkam21 (zarkam21):

right

zarkam21 (zarkam21):

What would go in the table now

OpenStudy (3mar):

What do you mean?

OpenStudy (3mar):

Did you not do tables for metals A, B and C?

zarkam21 (zarkam21):

zarkam21 (zarkam21):

So what do I insert in the empty spaces

OpenStudy (3mar):

I think you will write the mean of masses and volumes for all metals. |dw:1480349164414:dw|

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