The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Stories Height (in feet) 57 1050 28 428 26 362 40 529 60 790 22 401 38 380 110 1454 100 1127 46 700 b. What is your regression line written in the form ŷ = a + bx? (Round a and b to 3 decimal places please!) ŷ = _____ + ______ x b. Use your regression equation above to predict the height of a building with 7070 stories: ________ (Please enter a whole number) c. Compute the coefficient of determination (write it as a decimal here). ___ d. Determine the percentage of the variation in the observed values of the response variable, height, explained by the regression with the explanatory variable, stories. _________%
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.
The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).
| Stories | Height (in feet) |
|---|---|
| 57 | 1050 |
| 28 | 428 |
| 26 | 362 |
| 40 | 529 |
| 60 | 790 |
| 22 | 401 |
| 38 | 380 |
| 110 | 1454 |
| 100 | 1127 |
| 46 | 700 |
b. What is your regression line written in the form ŷ = a + bx? (Round a and b to 3 decimal places please!)
ŷ = _____ + ______ x
b. Use your regression equation above to predict the height of a building with 7070 stories: ________ (Please enter a whole number)
c. Compute the coefficient of determination (write it as a decimal here). ___
d. Determine the percentage of the variation in the observed values of the response variable, height, explained by the regression with the explanatory variable, stories. _________%
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
