Bone mineral density and cola consumption has been recorded for a sample of patients. Let xx represent the number of colas consumed per week and yy the bone mineral density in grams per cubic centimeter. Based on the data shown below answer the questions rounding your final answers to four decimal places. (a) Create a scatter plot with linear regression line for the data. y = x + (b) Interpret the slope of the regression equation in a complete sentence. (c) Use the linear correlation coefficient to determine if there is correlation. r = Is there correlation at the 0.05 level of significance? yes no (d) According to the linear regression equation, the bone density of someone who drinks 28 colas per week is? (e) Submit a file with your scatter plot. Data: x y 1 0.98137 2 0.9847 3 0.97203 4 0.97236 5 0.97169 6 0.96402 7 0.96235 8 0.95668 9 0.95201 10 0.95334 11 0.95867 12 0.953
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.
Bone mineral density and cola consumption has been recorded for a sample of patients. Let xx represent the number of colas consumed per week and yy the bone mineral density in grams per cubic centimeter. Based on the data shown below answer the questions rounding your final answers to four decimal places.
(a) Create a
y = x +
(b) Interpret the slope of the regression equation in a complete sentence.
(c) Use the linear
r =
Is there correlation at the 0.05 level of significance?
- yes
- no
(d) According to the linear regression equation, the bone density of someone who drinks 28 colas per week is?
(e) Submit a file with your scatter plot.
Data:
| x | y |
|---|---|
| 1 | 0.98137 |
| 2 | 0.9847 |
| 3 | 0.97203 |
| 4 | 0.97236 |
| 5 | 0.97169 |
| 6 | 0.96402 |
| 7 | 0.96235 |
| 8 | 0.95668 |
| 9 | 0.95201 |
| 10 | 0.95334 |
| 11 | 0.95867 |
| 12 | 0.953 |
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