Introduction to Descriptive Statistics Anna Ortiz 2015

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Presentation transcript:

Introduction to Descriptive Statistics Anna Ortiz 2015

What is Statistics? The collection and analysis of data to understand trends and behaviors of processes…

Types of Data Data= plural Quantitative ? Datum= singular Qualitative? DATA ARE…. DATA IS… Quantitative ? Information based on quantities Qualitative? Based on a characteristic Continuous? Think about decimal places Categorical? Think about groups of things

EXAMPLES http://www.regentsprep.org/Regents/math/ALGEBRA/AD1/qualquant.htm

Today you will do a regression It is a model of the relationship of an explanatory variable on a dependent variable. X defines Y Y depends on X It tries to fit a straight line between all of your data points R2 is the strength of the relationship. It ranges from 1 to -1, it explains percentage explained Y.

You will vary the number of gummy bears/worms you shoot Hypothesis: The more/less gummies we shoot the further/closer they will reach from the base of the catapult You will need replicates 5 minimum per category (# of gummies) Then average, variance, standard deviation Mass of gummy bears and number of gummy bears (g) Measure distance with ruler (cm or m)

Build catapult Each group will need 2 clothes pins 6 popsicle sticks ~15 rubber bands 2 black binder clips One spoon 5 gummy bears

Should take no more than 10 minutes to build catapult

Was your hypothesis supported? Share data At the end we will share data on the computer so that everyone can analyze it AVERAGE DISTANCES /#GUMMIES Was your hypothesis supported? Lets see if your predictions match your model!

Basic Descriptive Stats Mean (average) = the sum of all values divided by the number of values Range= the distance between the largest and smallest value Standard deviation= how spread out the numbers are from the mean WHAT IS THE DATA TELLING YOU?

Standard deviation Stdev= square root of the variance What is variance? The average of the squared differences from the mean…. http://www.mathsisfun.com/data/standard-deviation.html

What are the descriptive statistics for you data set? Mean =average() Range =range() Standard deviation =stdev() Regression Make a bar graph for each category ( how many pieces of gummy worm) and distance X and Y variables Was your hypothesis supported or not supported?