Lets start off by talking about the person having their height and their arm span equal. The points used ranged for two hundred being the largest and sixty as the smallest number suppose to be in centimeters for the units. Some people clearly didn’t pay attention to the directions and measured in units of inches which is human error. These human errors will be clearly identifies when they come across in this benchmark.
Equation For line: Y=0.499(x)+85.772
Slope: 0.499 Intercept: 85.772 Direction: Bottom left to top right which means it is going in a positive direction. Strength: Just from the looks, most of the data is very close together not including the human error, but because they are in a large cluster this shows a not so strong relation. Shape: Though a lot of the data is close together and there are obviously human error you can say that if we exclude the data that the shape of this data set is linear. ----------> |
When looking at this regression plot you can see that that this line does not fit the data altogether with the human error. Without the errors added this data is almost linear. This means that this line is not strong enough with the errors. When talking about the strength of the cluster of points is easy to say the relation is not so strong which helps supports the fact that this line is not a good match for the data.
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If you take a look at the residual graph then you will see that the relationship of the two variables get stronger as the height increases. The relationship isn’t so strong with smaller numbers for the height but as they start to enlarge the relationship gets stronger and we know this because there is a large cluster on the actual residual line itself.
When trying to figure out if Leonardo’s theory and if the data that was collected matched up or not we have to look at the groups together and see if they are equal. The way Leonardo’s theory is setup is that x=y. In words this means that in any case what every variable is X will always be the same number for Y. When looking over the numbers collected this is not true. Not in every case the height of the person is the same exact as that person’s arm span.
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