The following are three important statistics, or methodologies, for using correlation and regression:
In this assignment, solve problems related to these three methodologies.
Part 1: Pearson’s Correlation Coefficient
For the problem that demonstrates the Pearson’s coefficient, you will use measures that represent characteristics of entire populations to describe disease in relation to some factor of interest, such as age; utilization of health services; or consumption of a particular food, medication, or other products.
To describe a pattern of mortality from coronary heart disease (CHD) in year X, hypothetical death rates from ten states were correlated with per capita cigarette sales in dollar amount per month. Death rates were highest in states with the most cigarette sales, lowest in those with the least sales, and intermediate in the remainder. Observation contributed to the formulation of the hypothesis that cigarette smoking causes fatal CHD. The correlation coefficient, denoted by r, is the descriptive measure of association in correlational studies.
Table 1: Hypothetical Analysis of Cigarette Sales and Death Rates Caused by CHD
| State | Cigarette sales | Death rate |
| 1 | 102 | 5 |
| 2 | 149 | 6 |
| 3 | 165 | 6 |
| 4 | 159 | 5 |
| 5 | 112 | 3 |
| 6 | 78 | 2 |
| 7 | 112 | 5 |
| 8 | 174 | 7 |
| 9 | 101 | 4 |
| 10 | 191 | 6 |
Using the Minitab statistical procedure:
In addition to the above:
Part 2: ANOVA
Let’s take hypothetical data presenting blood pressure and high fat intake (less than 3 grams of total fat per serving) or low fat intake (less than 1 gram of saturated fat) of an individual.
Table 2: Blood Pressure and Fat Intake
| Individual | Blood Pressure | Fat Intake |
| 1 | 135 | 1 |
| 2 | 130 | 1 |
| 3 | 135 | 1 |
| 4 | 128 | 0 |
| 5 | 121 | 0 |
| 6 | 133 | 0 |
| 7 | 145 | 1 |
| 8 | 137 | 1 |
| 9 | 148 | 1 |
| 10 | 134 | 0 |
| 11 | 150 | 0 |
| 12 | 121 | 0 |
| 13 | 117 | 1 |
| 14 | 128 | 1 |
| 15 | 121 | 0 |
| 16 | 124 | 1 |
| 17 | 132 | 0 |
| 18 | 121 | 0 |
| 19 | 120 | 0 |
| 20 | 124 | 0 |
Using the Minitab statistical procedure:
In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.
Part 3: Least Squares
The following are hypothetical data on the number of doctors per 10,000 inhabitants and the rate of prematurely delivered newborns for different countries of the world.
Table 3: Number of Doctors Verses the Rate of Prematurely Delivered Newborns
| Country | Doctors per 100,000 | Early births per 100,000 |
| 1 | 3 | 92 |
| 2 | 5 | 88 |
| 3 | 5 | 85 |
| 4 | 6 | 86 |
| 5 | 7 | 89 |
| 6 | 7 | 75 |
| 7 | 7 | 70 |
| 8 | 8 | 68 |
| 9 | 8 | 69 |
| 10 | 10 | 50 |
| 11 | 12 | 45 |
| 12 | 12 | 41 |
| 13 | 15 | 38 |
| 14 | 18 | 35 |
| 15 | 19 | 30 |
| 16 | 23 | 6 |
Using the Minitab statistical procedure:
In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.
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