• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4

Mayfield School Statistics - IQ Correlation

Extracts from this document...

Introduction

MATHS COURSEWORK

MAYFIELD SCHOOL

ANA SEKULIC

In this investigation I need to select data from which I can make sensible conclusions that support my hypothesis.

I have selected I.Q results and Sat Results from girls in year 10 to see if one variable depends on the other.

Hypothesis: The higher the I.Q the higher the Sats Results.

Firstly, I am going to draw a scatter graph to see if there is a relationship between the independent and dependant variables. The independent variable is going to be plotted horizontally and dependant variable vertically. This is because the dependant variable depends on the independent variable.

In this investigation I choose both variables, nevertheless one variable always depends on the other. Therefore the independent variable is the I.Q and the dependant is the Sats Results. So in my theory, your Sats Result should always depends on your I.Q.

Once I had plotted the graph (see appendix 1) I wanted to find the regression line and correlation coefficient.

Middle

r= 0.5648 you would say that it has a weaker positive linier correlation. Basically a correlation coefficient tells how good a correlation you have in your graph.

Although the correlation coefficient can be found without plotting a scatter graph it is always more useful to, as it gives you a picture of the correlation and also helps distinguish any outliners.

I have done a correlation coefficient for my data. (See appendix 3)

As can be seen the correlation coefficient is r = 0.911465 which means that there is a very strong positive correlation between I.Q and Sats Results, telling me that

I.Q does affect Sats Results because of this strong correlation.

Regression Line?

To obtain the regression line there are steps that have to be followed:

1. Gradient meaning that the straight-line law y=a+bx has to be used. Since the line is a straight line, we use y=a+bx.

In this case the gradient is how much the sat total increases for every 1 I.Q point increase.

Conclusion

The one way in which I could extend my investigation is by plotting the average number of hours TV watched per week against the I.Q and Sats Results to see weather the amount of TV watched affects I.Q and Sats Results.

In order to do this I would have to consolidate I.Q and Sats results in to one value.

The way in which this is done is by using this formula:

= 1 average score

> 1 means better than expected results

< 1 means poorer than expected results

To see how the above equation was obtained see appendix 4.

E.g.

This number would be plotted against the average number of hours TV watched per week.

This I would have done but did not for 2 reasons:

1. All the values are only 20% apart
2. From looking at the raw data I saw no correlation as was very random (see appendix 3)

A further extension I could do is plot the consolidated values against other factors that could effect the I.Q and Sats Results such as; How much homework they do? Do they have brothers or sisters? What kind of foods they eat?

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

Related AS and A Level Probability & Statistics essays

1. Data Handling - Planning - I intend to investigate the relationship between the number ...

This gives the same percentage of hours of TV watched for both genders between these points. Although the number of hours of TV watched by males is only marginally higher than that by females the percentage of males watching 21 to 28 hours of TV is: 12 - 11 x

2. The mathematical genii apply their Statistical Wizardry to Basketball

The question being asked is, were the five practice shots enough practice to enable an independent model to be produced or should it not have occurred? Similarly would continous shots have increased fatigue levels to significant proportions as to effect the performance.

1. Statistics coursework

However, once the score exceeds a total of 14 the year 11s appear to have performed better as their curve is further to the right than the year 7s curve. From this graph I have also noticed one or more of the year 11s scored higher than any of the year 7s.

2. Mayfield High School Maths Coursework

91 3 273 8281 9 109 5 545 11881 25 102 4 408 10404 16 Yr 9 Girls 91 4 364 8281 16 117 5 585 13689 25 110 5 550 12100 25 100 4 400 10000 16 116 5 580 13456 25 101 4 404 10201 16 Yr 10

1. Investigating the Relationship Between the Amount of Money a Football Club Receives and its ...

38 35 73 11514 �28,500 18 3 Scarborough 24 46 8 3 12 30 39 6 3 14 20 38 48 6899 �750,000 -27 3 Scunthorpe Utd 4 46 14 3 6 42 28 8 5 10 27 30 74 9183 �0 11 3 Shrewsbury T 15 46 11 6

2. Investigate if there is any correlation between the GDP per capita (\$) of a ...

Then finally I am going to log both my data for GDP per capita and the life expectancy at birth and do a scatter diagram. I am going to check which scatter diagram gives the strongest linear correlation and that's the data I'm going to chose.

1. AS statistics coursework - correlation coefficient between height and weight in year 11 boys ...

of each point from the regression line assuming that the data points are (x1, y1), (x2, y2) etc... then d (deviance) would fit the formula di = yi - (a + bx) Hypotheses 1. I think that both boys and girls will have moderate to strong positive correlation.

2. Statistics Coursework

87.57 120 92.86 167 96.56 214 99.47 27 78.84 74 87.57 121 93.12 168 96.56 215 99.47 28 79.1 75 87.83 122 93.12 169 96.56 216 99.47 29 79.89 76 87.83 113 93.65 170 96.83 217 99.47 30 79.89 77 87.83 124 93.65 171 96.83 218 99.47 31 80.16 78

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to