A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. The accompanying data represent the amount of force required to break a sample of 30 insulators. 1,865 1,706 1,698 1,619 1,609 1,779 1,570 1,693 1,581 1,668 1,898 1,755 1,729 1,698 1,704 1,780 1,883 1,771 1,799 1,867 1,812 1,713 1,754 1,793 1,823 1,791 1,668 1,815 1,677 1,707 Construct a 90% confidence interval for the population mean force. ___ ≤μ≤ ___
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 manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. The accompanying data represent the amount of force required to break a sample of 30 insulators.
|
1,865
|
1,706
|
1,698
|
1,619
|
1,609
|
1,779
|
1,570
|
1,693
|
1,581
|
1,668
|
|
|
1,898
|
1,755
|
1,729
|
1,698
|
1,704
|
1,780
|
1,883
|
1,771
|
1,799
|
1,867
|
|
|
1,812
|
1,713
|
1,754
|
1,793
|
1,823
|
1,791
|
1,668
|
1,815
|
1,677
|
1,707
|
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