1. Using the class data file, conduct a scatter plot on Excel on the variable “shoes”. Describe the shape of the plot. The shape of the plot has no correlation

2. Is there a significant relationship between the two variables “shoes” and “break”. (be sure to hand calculate, find the probability and accept or reject the null)?

3. What does the above data indicate for variance account for when considering the effect of How well is your semester going (be sure to discuss answer and state r square)?

4. Using the below data, does the rank of race 1 significantly relate to the ranking on race 2?
Race 1 Race 2
6 5
4 1
7 3
5 6
3 4
2 8
8 7
1 2

5. When is it most appropriate to use a correlation statistic? When would you use a Pearson r over a Spearman rank?

Would normally hope to use a Pearson product-moment correlation on interval or ratio data, the Spearman correlation can be used when the assumptions of the Pearson correlation are markedly violated. However, Spearman's correlation determines the strength and direction of the monotonic relationship between your two variables rather than the strength and direction of the linear relationship between your two variables, which is what Pearson's correlation determines.

Pearson product moment correlation
The Pearson correlation evaluates the linear relationship between two continuous variables. A relationship is linear when a change in one variable is associated with a proportional change in the other variable.
For example, you might use a Pearson correlation to evaluate whether increases in temperature at your production facility are associated with decreasing thickness of your chocolate coating.
Spearman rank-order correlation
The Spearman correlation evaluates the monotonic relationship between two continuous or ordinal variables. In a monotonic relationship, the variables tend to change together, but not necessarily at a constant rate. The Spearman correlation coefficient is based on the ranked values for each variable rather than the raw data.
Spearman correlation is often used to evaluate relationships involving ordinal variables. For example, you might use a Spearman correlation to evaluate whether the order in which employees complete a test exercise is related to the number of months they have been employed.
It is always a good idea to examine the relationship between variables with a scatterplot. Correlation coefficients only measure linear (Pearson) or monotonic (Spearman) relationships. Other relationships are possible.

1. Using the class data file, conduct a scatter plot on Excel on t...