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.
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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Question
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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