Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, x 766 620 520 508 494 484 (a) x=501 feet (b) x=648 feet Stories, y 51 46 45 43 37 35 (c) x=310 feet (d) x=736 feet (1)Find the regression equation. y(^)=____ x+ (___) (2) Predict the value of y for x=501 (3) Predict the value of y for x=648 (4) Predict the value of y for x=310 (5) Predcit the value of y for x=736
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.
|
Height, x
|
766
|
620
|
520
|
508
|
494
|
484
|
|
(a)
x=501
feet |
(b)
x=648
feet |
|---|---|---|---|---|---|---|---|---|---|
|
Stories, y
|
51
|
46
|
45
|
43
|
37
|
35
|
|
(c)
x=310
feet |
(d)
x=736
feet |
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