Statistics - Regression Projects

Below are the mean annual temperature and mortality rate for a type of breast cancer for sixteen European

Below are the mean annual temperature and mortality rate for a type of breast cancer for sixteen European cities. Joe, the researcher, wants to know if there is a correlation between mean annual temp and breast cancer rate.

Mean Annual Temp (X)	Breast Cancer Rate (Y)
51.3	102.5
49.9	104.5
50.0	100.4
49.2	95.9
48.5	87.0
47.8	95.0
47.3	88.6
45.1	89.2
46.3	78.9
42.1	84.6
44.2	81.7
43.5	72.2
42.3	65.1
40.2	68.1
31.8	67.3
34.0	52.5

State the null and alternative hypothesis concerning the relationship between mean annual temperature and breast cancer rate and indicate the level of significance.
Put this data into SPSS, find the Pearson correlation coefficient, and find the Spearman correlation coefficient. Paste these two tables and interpret the correlation coefficients.
Create a table in your homework to show the test statistic and p-value for both the Spearman and Pearson correlation coefficient. Interpret the p-values.
What does each p-value tell us in terms of the null hypothesis? (Interpret in two separate sentences – make sure to include to which correlation coefficient you are referring).
What can we conclude? Which correlation coefficient is more appropriate? Why? Provide evidence (e.g., graphs, statistics) for your answer.

We have age and systolic blood pressure (SBP) of 10 randomly chosen people. Using this data, we would like to create a model to predict systolic blood pressure from age.

Age	SBP
53	137
50	132
54	149
48	132
43	120
43	126
63	161
63	170
62	152
65	164

State the null and alternative hypothesis.
Write out the model with the beta coefficients.
Put this data into SPSS, and find the parameter estimates. Write out the prediction equation. Interpret the prediction equation.
Obtain the R ² value and interpret.
What is the overall test statistic from the ANOVA table? What is the test statistic for the slope coefficient? Are they equal or not equal? Why is this the case?
Give a 95% CI around the predicted slope coefficient and interpret.
Using the prediction equation, what is the predicted systolic blood pressure for a
1. 44 year old?
2. 61 year old?
3. 70 year old?