Linear Data
- y= ax + b
- straight line
- first-degree polynomial function
- linear data example:
- this linear data provides with infromation about the maximum height (in inches) a bike can jump with a certain weight (in pounds); the lighter the bike is the higher it will jump in the air
- this linear data will result in a straight line going from quadrant 2 to quadrant 4 with a function of y= -0.156x + 13.348 and correlation coefficient of 0.9912 which means this data fits really good in a linear equation
- y= x^2
- porabola
- second-degree polynomial function
- quadratic data example:
- table 1 provides data for measuring a toss of a ball into the air; the relationship between time (in seconds) and hight (in feet)
- this quadratic data will result in a up-side down parobala with a function of y= ax^2 + bx + c y= -16.0876x^2 + 44.9695x + 10.0112 and R^2 of 1.00 (calculator doesn't provide r)
- growth y= 2^x, decay y= (1/2)^x
- base is a fixed number and power is a varible
- exponential data example:
- this exponential data provides with growth of Vancouver population
- in this data growth is not consisted and may have few peaks but in general data is exponential
- y= logx
- a reverse of exponents
- logarithmic data example (figure 4):
- this graph shows the relationship between the calculations of how much mL of blood is lost during certain diseases and the error of those calculation
- function for a log is y= a+b lnx
Sinusoidal Data
- y= sinx
- sine wave
- sinusoidal data example:
- this table provides data with a predator-prey relationship focusing on owl population over 12 years
- the function is y= a*sin (bx+c)+ d y= 25.7513*sin (0.5247x+-0.01826)+ 50.5617
Exploring Further
-quadratic data
-excel spreadsheet: (email)
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