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HOW CAN YOU TELL IF THE Y-VALUES ARE MEANINGFUL? Find the equation of the regres

ID: 3257663 • Letter: H

Question

HOW CAN YOU TELL IF THE Y-VALUES ARE MEANINGFUL?

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. (a) x 499 feet Height, x 772 628 518 508 496 483 (b) x 640 feet Stories y 51 48 52 26 37 32 (c) x 315 feet (d) x 735 feet Find the regression equation. y 0.061 x 6.597 (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. O A. O B. O C. O D. 60 60 800 800 800 800 Height (feet) Height (feet) Height (feet) Height (feet)

Explanation / Answer

from above we can tell Y values are meaning ful ; if X value falls in interval from above data set,

as x=315 falls below all of values of x in data table; y value from it is not meaningful due to extrapolation