Reading Scatter Plots and Understanding Correlations.

What can we see from the above scatter plot of hair length vs. height? Is there a correlation? How strong is it? If so, is it positive or negative; strong or weak? What information about the students in our class does this graph give you? Are there a few "outliers" or extreme data points that seem unusual? If you throw them out of the data set what does the correlation look like? What other information would be helpful to interpret the data?

Above is the data we collected about our shoe sizes vs our heights. Can you see a relationship? Is there a correlation? If so, is it positive or negative? How strong is it? Does shoe size cause height to change? Does height cause shoe size to change? Does correlation imply causality?

## 17 comments:

In the scatter plot “Hair length vs. Height” we notice that the taller the person the shorter the hair length. In this graph there is a negative correlation that is not too strong, justly weak. The information that this graph gives out gives us an idea on how many males and females are present. We know that most guys are taller than girls, and that most guys have shorter hair than girls. With the exception of a few guys in our class with long hair we can infer that the girls are the dots on top of this plot and the guys are on the bottom. There were also many short guys and tall girls that make this scatter plot inconsistent.

In the scatter plot “Shoe Size vs. Height” there is a strong positive correlation. This graph shows us that the longer the shoe size the taller the person. I believe that the height causes the shoe size to change because a taller person would need bigger feet to balance themselves. The data given here is reliable, and there are no outliners. The taller girls in the class had small feet, and that may be the only inconsistence in this graph.

In the graph of Hair Length Vs. Height I believe that there is no correlation because as you can see the data collected is spread. Its not strong is more weak. By looking at the graph you can notice that in the graph there is a pattern of increase then decrease this might have like a negative 0.36. I think that there is a few outliers because some of the data is right at the x-axis if we took them away the graph would still not look even. What we should also know from the graph is that most of the data shows that as the length of hair increases the height decrease vise versa for as the height increases the hair length decreases.

The graph of Shoe Size Vs. Height right away you can see that the graph is correlation this is a very strong correlation I say this because if we were to draw a line you could see that each side would be even and the coefficient would be like around positive 0.80 because the data is closer to the line and not really spread. In my opinion there is no outliers, what we should know about the graph is that the shoe size and the height increases as the shoe size goes up the height also increases for some data. Yes I do think that the shoe size causes the height data to change so does the height to shoe size. _Daisy C.

When we look at the scatter plot of hair length vs. height, we see that there is no real dramatic pattern. However the data shows that the class is split pretty evenly where the shorter students tend to have longer hair and the taller students have shorter hair.

The next graph has a correlation that is a lot easier to grasp. It is positive, where you can clearly see that the student who have the smallest feel are shorter and as the students get taller their feet get bigger too.

Elisabel L.

what I can see from the above scatter plot of hair length vs. height is that the information is strong by having different results, it looks kind of negative because there is people with longer hair and short hair length and we don’t know what percent of that is boys, or girls. If we throw them out of the data the correlation look like kind of equal to the length of women and boys hair there might have been girls that had shorter hair and boys with long hair length. The information that’s helpful is that we know there hair length and height.

Above the Data we collected about our shoe sizes vs. our heights I can kind of see a relationship between the 2datas if your taller your shoe size needs to be bigger

To hold balance. Shoe size does cause height to change the size of your shoe probably tells how tall you are.

Elisabel L.

what I can see from the above scatter plot of hair length vs. height is that the information is strong by having different results, it looks kind of negative because there is people with longer hair and short hair length and we don’t know what percent of that is boys, or girls. If we throw them out of the data the correlation look like kind of equal to the length of women and boys hair there might have been girls that had shorter hair and boys with long hair length. The information that’s helpful is that we know there hair length and height.

Above the Data we collected about our shoe sizes vs. our heights I can kind of see a relationship between the 2datas if your taller your shoe size needs to be bigger

To hold balance. Shoe size does cause height to change the size of your shoe probably tells how tall you are.

In the scatter plot of hair length vs height, it seems like the shorter you are the longer your hair is and the taller you are the shorter your hair is. There is negative correlataion that is very weak.This graph shows that the students in our class that are short have hair past 5cm long and taller students have short hair. There arent any extreme data points that seem unusual.

In the other scatter plot of Shoe size VS Height, there is positive correlation which is strong. From this data it seems like if you are short you have smaller feet and if you are tall your feet are big. You can imply this data to the rest of the school, short people have somewhat smaller feet than taller people which is very common.

- Jalen B.

In our AP Psychology Shoe Size statistics project, we collected and analyzed data on the possible relationships of Height and Hair Length with Shoe Size. On the graph that shows "Hair Length vs. Height", there's almost no relationship between the length of a person's hair with their shoe size, therefore, allowing us to make the decision that there is a negative and weak correlation. Our data shows us two sets of extreme outliers--some of which are located at the bottom right of the graph and the others on the upper right side of the graph. If these points were ommited from our data, then we would've had a correlation closer or equal to zero because we wouldn't have any points that moved our correlation towards negative or positive 1. It would've been more useful to find out if a relationship existed between Hair Length and Shoe Size if the data showed a gender difference.

Looking at the "Shoe Size vs. Height" graph, one can notice that there is a relationship between the person's height and their shoe size. This relationships shows a positive and strong correlation. However, this not mean that the taller/ shorter a person is, will determine his/her shoe size. This relationship may be a cause of evolution or genetics, therefore it's not safe to say that correlation equals causation.

---C.O

From the graph Hair Length vs. Height I can see that the correlarion is negative. It is about -0.6 to -0.7, so the correlation is fairly strong. This graph show that females are shorter and have longer hair, while the males in the class are taller and have shorter hair length. There are a few "outliners" that seem unusual. There are some tall females with long hair, short females with short hair, and tall males with long hair. If we were to throw them out of the data the correlation of Hair Length vs. Height would be a perfect -1.0. Other info that would be helpful would be to show which were females and males.

In the graph Shoe Size vs. Height the correlation is positive. It is a strong correlation, it is almost a perfect +1.0,it is around a +.86. It shows the taller the person the bigger the shoe size. It is not to say that shoe size causes height change or that height change causes shoe size. Anything could of affect these factors, like puberty. The correlation does not equal causation.

Edgar R. Period-2b/6b

In the first graph "Hair vs Height" i see the graph is negative and weak, because it starts off by raising then it starts decreasing. In the graph i notice that most of the tall people have shorter hair which they might be men, and the shorter people and average have longer hair which i predict are girls. I believe in this graph there is no correlation.

In the second graph "shoe size vs. height" i notice that the taller people have bigger feet. There is a correlation in this graph and its also strong and positive. I believe so because the graph starts of low and little by little increase up. I think height does make a change in the shoe size.

J.C 2B

From the Hair Length vs. Height scatter plot we can see that in period 2b, generally the taller you were, the shorter your hair was. The correlation coefficient for the graph is around a negative 0.75, not to strong but it shows us that there was a pattern. The gender of each participant would be a helpful addition to the data. Gender would allow us to draw two correlation coefficients and then we would be able to see the effects that it had on our data. Because the males were generally taller and generally had shorter hair, how did that effect the data as a whole, what about the females?

The Shoe Size vs. Height scatter plot shows that shoe size and height in period 2b had a general direct relationship; the taller you were, the longer your feet were. The correlation coefficient could be said to be around a positive 0.9. However, it cannot be said that shoe size causes height to change as well as height does not cause changes in shoe size. Although there is a pattern, the correlation does not imply causation.

During AP Psychology (period 2b), the class conducted an expirement that dealt with measuring one's shoe size, height, and hair length. As the class results were gather, two data tables were formed. The first table: Hair Length vs. Height, and the second: Shoe Size vs Height. The data recorded differs between both graphs. In the first graph (Hair Length vs Height) we're presented with results that are scattered all throughout the table. Thus far, making it hard for one to identify any sort of correlation; however, a conclusion was drawn. The Hair Length vs Height of the class shows a weak and negative correlation (near -1). This information indicates that the height of this class doesn't influence they're hair lenghts. However, most shorter people appear to have longer hair, while taller people have shorter hair--with a few exceptions. Disregarding the individuals who don't fit into the two categories presented above, one may infer that the short people with long hair are girls, and the taller people with short hair are boys. Though, in order to be certain about this interpretation the data must be divided into a male and female sub-category. Therefore, it can simply be stated that one's hairstyles don't depend on one's height.

In the other hand, the Shoe Size vs. Height graph seems to have a relationship. The correlation in this data table is positive and strong--very close to a plus one. The shoe size doesn't necessarily seem to cause a change in height.But, height may influence one's shoe size due to the need of stability/balance. Furthermore, the correlation for this graph can indicate a possible cause between one's height and shoe size. However, there are light exceptions that prevent the correlation from being perfect, which means that further investigation is needed. In conclusion, the correlation for these two variables doesn't imply causation.

Kenia R.

In the scatter plot of hair length vs height, there is a very weak correlation because the results are scattered everywhere. When I see the graph, I notice that there are short and tall students with and equal amount of short and long hair.

In the scatter plot of shoe size vs height,I noticed the relationship that the taller the student is, the bigger shoe size they have. There is a positive correlation that is very strong as well.

Oscar A.

In the scatter plot above we can see how you can’t really predict someone’s hair length by their height. There is correlation because you can draw a line that the dots follow, but it is very weak. It is negative. Most of the tall people have short hair, but there are some exceptions. This graph tells me that most of my classmates that are tall have short hair with some exceptions and that most of my classmates who are short or average have longer hair; there are also a few exceptions.

There is a relationship between a person’s height and their shoe size. The taller the person is the bigger their shoe size is. The correlation is strong and positive. I don’t think that shoe size causes height change. I believe height does cause a shoe size to change because the taller you are the bigger feet you need to balance yourself with.

Griselda H.

Hair length Vs Height

In the hair length Vs. height scatter plot, it seem as if the shorter you are the longer your hair, and the taller you the shorter your hair will be. The correlation is negative and is extremely weak. This graph shows the students who have short hair have hair past 5cm and long hair 30cm.

Shoe size VS height

In the shoe size Vs height scatter plot, it seems as if you are short you have small feet , and if you are tall you have big feet. The correlation is positive, so it is strong. The data can be use all over the world. People, who has short has small feet and people who are tall have big feet is very common amongst the world.

Darriyan S.

We measured our shoe size,hair lenght and height.One table was the hair lenght vs. height.The second table was shoe size vs.height.The first graph “hair lenght vs. height the correlation was negative which led to the conclusion that it was weak.We came to the conclusion that hair lenght has no effect on how tall or short you are.The second graph “shoe size vs.height" we came to the conclusion that the correlation was positive, and strong.We think is because due to the height people need to have big feet so that they can balance.Otherwise they wouldnt be able to walk the correct way.

Lucia G

With the exception of a few guys in our class with long hair we can infer that the girls are the dots on top of this plot and the guys are on the bottom. There were also many short guys and tall girls that make this scatter plot inconsistent.

In the scatter plot “Shoe Size vs. Height” there is a strong positive correlation. This graph shows us that the longer the shoe size the taller the person. I believe that the height causes the shoe size to change because a taller person would need bigger feet to balance themselves. The data given here is reliable, and there are no outliners. The taller girls in the class had small feet, and that may be the only inconsistence in this graph.http://www.webpacman.com

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