need help on these two problems, please! 1) Calculate the Pearson correlation between hand and foot size for members of this STA-201. Graph the relationship, determine a hypothesis to test this relationship, and statisically test this hypothesis using alpha=0.05. Interpret all results in a paragraph citing the appropriate statistics.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
I need help on these two problems, please!
1) Calculate the Pearson
2) Calculate the simple linear regression to determine if the amount of time spent on homework can be predicted by amount of sleep. Graph the relationship and determine, numerically, if there are any outliers. Interpret all results in a pargraphing citing the appropriate statisitcs.
![# Student Data Analysis
This table provides comprehensive data on students enrolled in various schools, detailing their enrollment duration, personal attributes, and lifestyle habits.
### Table Data
| ID | School Enrolled | Months Enrolled | Birthday Month | Distance to Work (whole miles) | Height (whole inches) | Foot Size (whole inches) | Hand Size (whole inches) | Sleep (minutes) | Homework (minutes) |
|-----|-----------------------------------|-----------------|----------------|--------------------------------|------------------------|--------------------------|--------------------------|-----------------|--------------------|
| 1 | Arts and Sciences | 12 | January | 0 | 60 | 8 | 5 | 360 | 30 |
| 2 | Applied Science and Technology | 6 | February | 0 | 62 | 7 | 6 | 400 | 45 |
| 3 | Business and Management | 8 | April | 5 | 66 | 10 | 7 | 420 | 60 |
| 4 | Nursing | 10 | June | 10 | 68 | 12 | 8 | 440 | 15 |
| 5 | Public Service | 48 | July | 15 | 68 | 14 | 8 | 540 | 75 |
| 6 | Arts and Sciences | 48 | June | 30 | 70 | 12 | 9 | 480 | 120 |
| 7 | Applied Science and Technology | 36 | October | 32 | 72 | 11 | 8 | 320 | 80 |
| 8 | Applied Science and Technology | 32 | November | 36 | 75 | 14 | 7 | 440 | 60 |
| 9 | Applied Science and Technology | 49 | November | 45 | 73 | 13 | 8 | 450 | 100 |
| 10 | Applied Science and Technology | 15 | December](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95e3d0cc-9760-42e1-8cce-d1bab8ce3364%2F333cf0a0-a024-4026-bfe4-27066d89f826%2F3yi1ap_processed.png&w=3840&q=75)
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