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). Please answer the all 3 subparts Height (in feet) Stories 1050 55 428 27 362 26 529 40 790 60 401 22 380 38 1454 110 1127 100 700 46 Part (c) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.) Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.) r = Part (e) Find the estimated height for 34 stories. (Use your equation from part (c). Round your answer to one decimal place.) ft Find the estimated height for 92 stories. (Use your equation from part (c). Round your answer to one decimal place.)
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). Please answer the all 3 subparts
| Height (in feet) | Stories |
|---|---|
| 1050 | 55 |
| 428 | 27 |
| 362 | 26 |
| 529 | 40 |
| 790 | 60 |
| 401 | 22 |
| 380 | 38 |
| 1454 | 110 |
| 1127 | 100 |
| 700 | 46 |
Part (c)
Part (d)
r =
Part (e)
ft
Find the estimated height for 92 stories. (Use your equation from part (c). Round your answer to one decimal place.)
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