• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# linear correlation

Extracts from this document...

Introduction

- Introduction -

In this I will have to investigate graphs of function and how their shape and position change the coefficient of the functions. I will have to describe what is going on in the table of graphs and I will write a conclusion that is reasonable.

The software I could use is MathCad or Microsoft Excel; I have decided to use Microsoft Excel because I don’t have MathCad software.

The investigation would be divided into four parts as I am going to show you:

Linear Graph- the equation I will use is f(x)=mx+c

For this I will have to select my own values for m and c and I will have to discuss the out come of my answer and I will have to describe what I can see.

Quadratic equation the equations would be f(x)= ax2+bx+c

This is roughly the same as the first part but I will have to change one value in this one and then I will have to describe what I could see.

Cubic equation= equation would be f(x)= ax3+bx2+cx+d

I will be able to change A and d if I want I wouldn’t be able to change b and c because that has to kept the same.

Reciprocal graphs equation would be f(x)  a/x

Middle

## - Cubic equation- -

I have notice that f1 and f2 are the same I mean they both start with a negative number and they finish with a positive number, also f1 is increasing rapidly and for f3 going the opposite to the direction of f1 and f2 this is because I changed f3 to a minus x cube so this will cause it go to a different direction. This could be because I changed A number to a smaller number to see what effect it makes to f3 by doing this I also changed B, C, D because I wanted to see if I can get to curves in the graph but as you can see it created a two small curve and as to f1 and f2 it has one this is because for f2 I changed all the signs and all the numbers in it. I have notice that when I change my choices I can see a big effect because for f23 I have changed to a number to higher number then f1 and f2. this is because I wanted to see if I could get two curve lines in the graph.

I notice

Conclusion

Quadratic Graph- I have notice that f1 and f2 are the same I mean they both start with a negative number and they finish with a positive number, also f1 is increasing rapidly and for f3 going the opposite to the direction of f1 and f2 this is because I changed f3 to a minus x cube so this will cause it go to a different direction.

Cubic Equation- I notice that when I changed the signs of A from plus to a minus the line just turns up side down because of the change in the plus and the minus. With f2 I tried a different approach because I wanted a different answer to my graph but it also gave me a slope but this slope goes through the negative numbers only.  For f3 it is a steeper slope because it’s a higher negative number.

Reciprocal graphs – for this I had done to graphs because I thought I can get different data, but as you can see the graph roughly the same but in the second graph you can see that f1 increases rapidly this is because the number is high negative number.

This student written piece of work is one of many that can be found in our AS and A Level Core & Pure Mathematics 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 Core & Pure Mathematics essays

1. ## Estimate a consumption function for the UK economy explaining the economic theory and statistical ...

3 star(s)

This can be shown in the figure 2(b) as well. Figure 1(a) and Figure 2(b) looks similar. Figure 2(b) displays a pattern. That is we are not confident with our model. After closer examination of the tests, however, indicates that both these two Absolute income equation did not predict the actual consumption well from 1948 to 2002.

2. ## Math Portfolio Type II - Applications of Sinusoidal Functions

January 1 1 10.55h February 1 32 10.98h March 1 60 11.62h April 1 91 12.44h May 1 121 13.13h June 1 152 13.65h July 1 182 13.74h August 1 213 13.35h September 1 244 12.67h October 1 274 11.92h November 1 305 11.16h December 1 335 10.64h The times

1. ## Triminoes Investigation

18a + 2b = 5 18 x 1/6 + 2b = 5 3 + 2b = 5 2b = 5 - 3 2b = 2 b = 2/2 b = 1 Substitute a = 1/6, b = 1 into equation 6.

2. ## Describe two applications of linear programming to management problems. What are the main disadvantages ...

The application of linear programming for production scheduling problems is beneficial because those problems reappear during a production year. Therefore managers have to resolve the problem knowing the limitations of the company and applying in the new linear programming demand capabilities.

1. ## Maths - Investigate how many people can be carried in each type of vessel.

] A X = B Let the three matrices be named "A,' 'X' and 'B' as labelled above. In order to find out x, y and z. We have to firstly rearrange the equation for "X". Since laws of matrices state that AB is not equal to BA, we must

2. ## Investigating the Quadratic Function

and graph C (y = x� - 2) show clear indications of vertical translations. B has three units upward and C two units downward because a second coefficient appeared in both equations ("+3", "-2"). Generally speaking if a number (second coefficient "+3" or "-2") is added to the parent function (y = x�), the result is a translation either up or down the y-axis.

1. ## Numerical Method (Maths Investigation)

1 -0.0841 1.1 -0.0361 1.2 -0.0081 1.3 -1E-04 1.4 -0.0121 1.5 -0.0441 1.6 -0.0961 1.7 -0.1681 1.8 -0.2601 1.9 -0.3721 X f(x) 2 -0.5041 2.1 -0.6561 2.2 -0.8281 2.3 -1.0201 2.4 -1.2321 2.5 -1.4641 2.6 -1.7161 2.7 -1.9881 2.8 -2.2801 2.9 -2.5921 3 -2.9241 NEWTON-RAPHSON METHOD One of the Fixed

2. ## Fractals. In order to create a fractal, you will need to be acquainted ...

and the turtle will draw out the fractal by drawing its trail. To see a Netlogo-based L-system generator, go to: http://ccl.northwestern.edu/netlogo/models/run.cgi?L-SystemFractals.722.481 . Another field in fractals research is the theory of fractal dimensions. We know that the first dimension consists of a line, the second consists of a plane, and the third consists of a cube.

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