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 772 628 518 508 496 483

Stories, y 51 48 52 26 38 32

(a) x=502 feet

(b) x=648 feet

(c) x=310 feet

(d) x=732 feet

Find the regression equation.

y = ____ x+ ( ___ )

(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places asneeded.)

(b) Now predict the value of y for x=502. Since x=502 is in the range of the original data it is meaningful to predict the value of y for x=502.

Now predict the value of y for x=310. Since x=310 is in the range of the original data it is meaningful to predict the value of y for x=310.

Now predict the value of y for x=648. Since x=648 is in the range of the original data it is meaningful to predict the value of y for x=648.

Now predict the value of y for x=732. Since x=732 is in the range of the original data it is meaningful to predict the value of y for x=732.