It has been determined that there is a significant relationship between the temperature (x) and the number of times that a cricket chirps in a minute (y). Below is a table of values: Temperature Number of chirps 69.7 882 93.3 1188 84.3 1104 76.3 864 88.6 1200 82.6 1032 71.6 960 79.6 900 Determine the equation of the regression line, reporting each to 3 decimal places. A. Using the rounded slope and y-intercept, compute the residual for x = 93.3. Report answer to 3 decimal places. B. Theoretically, what should the sum of the residuals be? could be any number -1 1 0 C. Determine the value of Se, reporting to 3 decimal places. D. Determine the value of ∑ (x-mean)2, reporting the exact answer which should have 1 decimal place. E. Determine the lower bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places. F. Determine the upper bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places. G. If the level was increased to 99%, what would happen to the margin of error and the size of the interval? increase answer can not be determined decrease remains the same
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.
It has been determined that there is a significant relationship between the temperature (x) and the number of times that a cricket chirps in a minute (y). Below is a table of values:
| Temperature | Number of chirps |
| 69.7 | 882 |
| 93.3 | 1188 |
| 84.3 | 1104 |
| 76.3 | 864 |
| 88.6 | 1200 |
| 82.6 | 1032 |
| 71.6 | 960 |
| 79.6 | 900 |
Determine the equation of the regression line, reporting each to 3 decimal places.
A. Using the rounded slope and y-intercept, compute the residual for x = 93.3. Report answer to 3 decimal places.
B. Theoretically, what should the sum of the residuals be?
- could be any number
- -1
- 1
- 0
C. Determine the value of Se, reporting to 3 decimal places.
D. Determine the value of ∑ (x-mean)2, reporting the exact answer which should have 1 decimal place.
E. Determine the lower bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places.
F. Determine the upper bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places.
G. If the level was increased to 99%, what would happen to the margin of error and the size of the interval?
- increase
- answer can not be determined
- decrease
- remains the same
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