Electric resistance in copper wire changes with the temperature of the wire. If C(t) is the electric resistance at temperature t, in degrees Fahrenheit, then the resistance ratio C(t)/C(0) can be measured.
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.
Electric resistance in copper wire changes with the temperature of the wire. If
is the electric resistance at temperature t, in degrees Fahrenheit, then the resistance ratio
can be measured.
| Temperature t in degrees |
|
||
|---|---|---|---|
| 0 | 1 | ||
| 10 | 1.0393 | ||
| 20 | 1.0798 | ||
| 30 | 1.1215 | ||
| 40 | 1.1644 |
| C(t) |
| C(0) |
(b) At what temperature is the electric resistance double that at 0 degrees? (Round your answer to two decimal places.)
(c) Suppose that you have designed a household appliance to be used at room temperature (71 degrees) and you need to have the wire resistance inside the appliance accurate to plus or minus 10% of the predicted resistance at 71 degrees.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 6 images
