Building a tunnel—first scenario A crew of workers is constructinga tunnel through a mountain. Understandably, the rate ofconstruction decreases because rocks and earth must be removeda greater distance as the tunnel gets longer. Suppose each weekthe crew digs 0.95 of the distance it dug the previous week. In thefirst week, the crew constructed 100 m of tunnel. The time required to dig 100 m increases by 10% each week, starting with 1 week to dig the first 100 m. Can the crew complete a 1.5-km (1500-m) tunnel in 30 weeks? Explain.
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.
Building a tunnel—first scenario A crew of workers is constructing
a tunnel through a mountain. Understandably, the rate of
construction decreases because rocks and earth must be removed
a greater distance as the tunnel gets longer. Suppose each week
the crew digs 0.95 of the distance it dug the previous week. In the
first week, the crew constructed 100 m of tunnel.
The time required to dig 100 m increases by 10% each week, starting with 1 week to dig the first 100 m. Can the crew complete a 1.5-km (1500-m) tunnel in 30 weeks? Explain.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
