Collect data and investigate whether it can be model by a exponential function

Authors Avatar

Introduction

We were required to analyse a set of data and write a report on it. we had to either find a situation which we had to negotiated with our teacher, that you fell might be able to be a modeled by an exponential function OR given a alternate situation by our teacher. I did the Alternative situation

Part A

The aim of this assignment was to collect data and investigate whether it can be model by a exponential function

1)

DATA

X (height) Y (time)

2.5         3.45

5            6.12

7.5         9.45

10          13.35

12.5       17.39

15          22.87

17.5       27.97

20          34.45

22.5       44.12

25          64.23

The data that I have collected is from a 1.5 liter coke bottle that has been measured from top to bottom. The height of the bottle was measured to 25cm. I interval that I measured in was 2.5 cm, which gave me 10points for my graph. To get my y points I had to pour water up to the cylindrical section and made a hole at the bottom of the bottle. As the water passes a point I record the time.

Join now!

2) A mathematical representation of the data

Graphically

       

Algebraically

The equation for this data is    3.429801*1.126417^x.  To get the equation I used the Graphics calculator and find the equation in the data matrix editor. Although when I was trying to validate it the computer gave me a different equation (this is using excel). The equation given was 3.4298*0.119^x. but both of the equation fits the data nearly perfectly. So therefore I don’t know which one is the right equation, but the equation I will be using will be ...

This is a preview of the whole essay