A study was done of 6 patients admitted to a hospital. Their ages (x) and systolic blood pressure (y) was recorded. Age (x) Systolic blood pressure (y) 43 123 48 125 56 135 61 143 67 145 70 152 Determine the equation of the regression equation, reporting each to 3 decimal places. D. Compute the residual for x = 48, using the rounded slope and y intercept. Report answer to 3 decimal places. E. The data value of x = 56 has a residual of -0.575 If you were to make a scatter plot, which data point would be closer to the regression line? (43,123) (48,125) (56, 135) They are all the same distance from the regression line. F. Determine the value of se, reporting to 3 decimal places. G. Determine the value of ∑∑ (x-mean)2. Note: The mean is an exact value with 1 decimal place. The desired value also has 1 decimal place. H. Determine the lower bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places and the rounded value of se reported in part F. Report answers to 3 decimal places. I. Determine the upper bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places and the rounded value of se reported in part F. Report answers to 3 decimal places. J. If the interval was changed to 90%, what would happen to the size of the error and the interval? increase no change decrease
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.
A study was done of 6 patients admitted to a hospital. Their ages (x) and systolic blood pressure (y) was recorded.
| Age (x) | Systolic blood pressure (y) |
| 43 | 123 |
| 48 | 125 |
| 56 | 135 |
| 61 | 143 |
| 67 | 145 |
| 70 | 152 |
Determine the equation of the regression equation, reporting each to 3 decimal places.
D. Compute the residual for x = 48, using the rounded slope and y intercept. Report answer to 3 decimal places.
E. The data value of x = 56 has a residual of -0.575 If you were to make a
- (43,123)
- (48,125)
- (56, 135)
- They are all the same distance from the regression line.
F. Determine the value of se, reporting to 3 decimal places.
G. Determine the value of ∑∑ (x-mean)2. Note: The mean is an exact value with 1 decimal place. The desired value also has 1 decimal place.
H. Determine the lower bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places and the rounded value of se reported in part F. Report answers to 3 decimal places.
I. Determine the upper bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places and the rounded value of se reported in part F. Report answers to 3 decimal places.
J. If the interval was changed to 90%, what would happen to the size of the error and the interval?
- increase
- no change
- decrease
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