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Math 15 Introduction to Scientific Data Analysis Lecture 6 Interactive Excel University of California, Merced.

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Presentation on theme: "Math 15 Introduction to Scientific Data Analysis Lecture 6 Interactive Excel University of California, Merced."— Presentation transcript:

1 Math 15 Introduction to Scientific Data Analysis Lecture 6 Interactive Excel University of California, Merced

2 UC Merced2 Project #1 – Due March 31 st, 2008  Projects can be performed individually or in groups of three, with following rules: Teams turn in one project report and get the same grade. A team consists of at most 3 people—no copying between teams! Team project report must include a title page, where a team describe each team member’s contribution. 10% bonus for projects done individually Individual projects must not be copied from anyone else No late project will be accepted! Project #1 will be posted at UCMCROP by this Wednesday! April 4th th

3 UC Merced3  Any Questions?

4 UC Merced4 What do you think about Math 15 so far? Too Easy? Do you need more work to do?

5 UC Merced5 Review: Average or median age?

6 UC Merced6 Average or median age?

7 UC Merced7 Standard Deviation  Variance or Standard Deviation The one on the left is more dispersed than the one on the right. It has a higher variance or standard deviation.

8 UC Merced8 The confidence intervals are as follows:confidence intervals σ

9 UC Merced9 where  is the standard deviation Example: weight of the Quarter, This means that: ~70% of the quarter have their weights in between 5.57 and 5.77g

10 UC Merced10 Common Practice for Data Analysis  A common task in data analysis is to investigate an association between two variables. To see if two variables vary together  Correlation coefficient is not evidence for a causal relationship. To see how one variable affect another.  when we have some reasons to believe that changes in one variable cause changes in the other. Correlation Regression

11 UC Merced11 Examples from Last week  Ice cream sales correlate with the number of people who drown at sea. Therefore, ice cream causes people to drown.  Since the 1950s, both the atmospheric CO 2 level and crime levels have increased sharply. Hence, atmospheric CO 2 causes crime.

12 Is There an iCrime Wave?  Apple iPod Causes Crime. UC Merced12

13 UC Merced13 In the fall of 2004, a new generation of iPods was introduced and consumer demand exploded. By the end of 2005, more than 42.3 million units had been sold, and by the end of 2006, the total was almost 90 million.

14 Is There an iCrime Wave?  A study has found out that there is a direct correlation between iPods and crime. Apple iPod causes crime.  Study says, “There has been no causal relationship established in the study between the ubiquity of iPods and crime rates but the correlation is there.”, UC Merced14 may cause

15 UC Merced15  Any Questions?

16 UC Merced16 This Week!  Interactive Excel  Review – Adding Error Bars where  is the standard deviation

17 UC Merced17 IF() Function  IF() is a very powerful and universal function. The IF function makes decisions for you according to your own rules, as expressed in its arguments.  Function: = IF( logical_test, value_if_true, value_if_false ) In Cell B1, type the function, =IF(A1>=500,”You’ve got a A”,”You did not get a A”). AB 1498 =IF(A1>=500,…You did not get a A!

18 UC Merced18 Creating an interactive graph

19 UC Merced19 Next Week – March 17 th !  No Homework!  You will be introduced to a computer programming language:


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