In: Statistics and Probability
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 comma xHeight, x |
766766 |
620620 |
520520 |
508508 |
494494 |
484484 |
|
(a)
xequals=502502 feet |
(b)
xequals=649649 feet |
|||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Stories, y |
5151 |
4646 |
4545 |
4141 |
3737 |
3636 |
(c)
xequals=315315 feet |
(d)
xequals=727727 feet |
Find the regression equation.
ModifyingAbove y with caretyequals=nothing xplus+left parenthesis nothing right parenthesis
(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)