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=503 feet ​(b) x=647 feet ​Stories, y 51 46 44 43 39 36   ​(c) x=345 feet ​(d) x=726 feet 1. Find the regression equation. 2. Predict the value of y for x=503. 3. Predict the value of y for x=647. 4. Predict the value of y for x=345. 5. Predict the value of y for x=726. 6. Choose the correct graph below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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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=503
feet
​(b)
x=647
feet
​Stories, y
51
46
44
43
39
36
 
​(c)
x=345
feet
​(d)
x=726
feet

1. Find the regression equation.

2. Predict the value of y for x=503.

3. Predict the value of y for x=647.

4. Predict the value of y for x=345.

5. Predict the value of y for x=726.

6. Choose the correct graph below.

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