further maths core SAC

[bradysayer]

hey

does anyone have msn who is willing to help me !!!

pleasssse

[Gloamglozer]

Why not post your questions so everyone in future can benefit? 

[bradysayer]

sorry, didnt have the time at that particular moment.


well i had to randomly select data off a sheet, the data showed different regions, and then displayed that regions Co2 emissions and the regions GNI (gross national income). After randomly selecting a region, i was asked to select a starting year between 1970 and 2000 and then a continuous period of 12 years.

The data i randomly selected is as follows:

Sub-Saharan Africa                                         
year              Co2 emissions            GNI

1972:              0.88                       230
1973:              0.91                       270
1974:              0.94                       360
1975:              0.89                       410
1976:              0.91                       430
1977:              0.88                       450
1978:              0.86                       470
1979:              0.94                       560
1980:              0.93                       660
1981:              0.96                       700
1982:              0.94                       650
1983:              0.94                       560


Most of the questions relate to comparing or displaying my regions data against the data for the world.
the worlds data is as follows:

year              Co2 emissions            GNI

1972:              4.00                       960
1973:              4.12                       1160
1974:              4.03                       1360
1975:              3.97                       1520
1976:              4.13                       1590
1977:              4.16                       1690
1978:              4.25                       1900
1979:              4.29                       2240
1980:              4.20                       2570
1981:              4.03                       2660
1982:              3.94                       2520
1983:              3.91                       2390

___________________________________________________________________________________________________________________

Question 1. construct a scatterplot to investigate the nature of the relationship between Co2 emissions (as the independant variable) and the GNI for your selected region.

Question 2. assuming the relationship is linear, use the scatterplot data to perform a full regression analysis. ie. calculate the equation of the least squares regression line, calculate the correlation coefficient and the coefficient of determination, and graph a residual plot. (provide a sketch of the residual plot).

Question 3. Use the equation to interpolate and extrapolate (one value of each) within the range of the original data supplied. Comment on the reliability of each of these predictions.

Question 4. Write a report on the results of the regression analysis.

Question 5. Based on your regression analysis, discuss the suitability of using a linear model to represent the data. If the data was non-linear, suggest appropriate transformations that may linearise the relationship between the co2 emissions and GNI. Explain how these transformations would linearise the data.

Question 6. construct a time series plot of co2 emissions for your selected region and time for the world on one set of axes.

Question 7. comment on any trends in the two time series plots.

Question 8. Assuming the data is linear, find the equation of the least squares regression trend line for each set of data. Use the trend lines to forecast the co2 emissions for your selected region and for the world in 2010.






PLEASE HELP

[Gloamglozer]

Firstly, what calculator do you use?

For the first few questions, I would just draw the scatter plot on my calculator (in my case the TI-89) and then go from there.

[bradysayer]

Firstly, what calculator do you use?

For the first few questions, I would just draw the scatter plot on my calculator (in my case the TI-89) and then go from there.

i use a ti-84 plus

and i have to display the answers on paper, with written reports.

[madi1234]

Is that all of your Sac ??

Omg. We had like three pages to do in 5 periods.. And our teacher was like.. Yeah its not even possible for you too finish...
Its easy,  its just SO time consuming further maths.. ahh

[mypurpleundercracka]

ive got my one starting tomorrow, any tips people can give me?

[madi1234]

ive got my one starting tomorrow, any tips people can give me?

If your given all of your SAC... Leave data in Calculator and do it at home.... Thats what I did.
Otherwise, i have no idea how i would have done it.... its so long....

[mypurpleundercracka]

ive got my one starting tomorrow, any tips people can give me?

If your given all of your SAC... Leave data in Calculator and do it at home.... Thats what I did.
Otherwise, i have no idea how i would have done it.... its so long....

lol thats pretty smart, unfortunately we get ours given bit by bit

[ReVeL]

PLEASE HELP

Umm, is there any particular part of your SAC that you're struggling with? Would be more efficient than going over the whole thing.

[Gloamglozer]

...Its easy,  its just SO time consuming further maths.. ahh

Especially all the number-crunching on the calculator.  Although the worst thing is when you've entered just one wrong number of the calculator... 

[doboman]

PLEASE HELP

Umm, is there any particular part of your SAC that you're struggling with? Would be more efficient than going over the whole thing.

[bradysayer]

PLEASE HELP

Umm, is there any particular part of your SAC that you're struggling with? Would be more efficient than going over the whole thing.

yes, can you please add me on msn

[email protected]

[ReVeL]

PLEASE HELP

Umm, is there any particular part of your SAC that you're struggling with? Would be more efficient than going over the whole thing.

yes, can you please add me on msn

[email protected]

Ok.. Then POST your questions up so EVERYONE can benefit. That is the point of this forum.

[bradysayer]

Question 4. Write a report on the results of the regression analysis.
My answer was:
from the scatterplot we can see that there is a moderate positive, linear relationship between the co2 levels and GNI of Sub-Saharan Africa, r=0.5964. There are no obvious outliers. The equation of the least squares regression line is:

GNI= -2144.11315 + (2866.972477 x co2 level)

The slope of the regression line predicts that, on average, GNI increases by 2866.972477 per ton of co2.

The coefficient of determination indicates that 35.6% of the variation in GNI is explained by the variation in co2 level.

The residual plot shows no clear pattern, indicating that the data has a linear relationship.


(this question is worth 5 marks, how many have i earnt, and what can i improve).