A hiring company considers hiring your professional services to consult with you about the experiment you are conducting. The company is interested in knowing what effect the temperature has on the resistance of the product (higher resistance is better for the product). The experimental data are: Find the best-fitting least squares line and parabola. Conduct an analysis to choose which of the two models (linear or quadratic) best predicts the behavior of the experiment. Based on what you found in your analysis, could you suggest an optimal operating temperature to the company? Argue your answers.
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 hiring company considers hiring your professional services to consult with you about the experiment you are conducting. The company is interested in knowing what effect the temperature has on the resistance of the product (higher resistance is better for the product). The experimental data are:
Find the best-fitting least squares line and parabola. Conduct an analysis to choose which of the two models (linear or quadratic) best predicts the behavior of the experiment. Based on what you found in your analysis, could you suggest an optimal operating temperature to the company? Argue your answers.
Given information:
| Temperature | Resistance |
| 600 | 40 |
| 650 | 44 |
| 700 | 48 |
| 750 | 46 |
| 800 | 50 |
| 850 | 48 |
| 900 | 46 |
| 950 | 45 |
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