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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
|
762
|
621
|
515
|
508
|
491
|
480
|
|
(a)
x=498
feet |
(b)
x=644
feet |
|---|---|---|---|---|---|---|---|---|---|
|
Stories, y
|
51
|
46
|
45
|
43
|
37
|
35
|
|
(c)
x=345
feet |
(d)
x=735
feet |
Find the regression equation.
y=nothingx+?
y=mx+b
(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
Expert Solution
Step 1
Regression Equation:
Excel Procedure:
Enter X and Y in Excel>Data>Data Analysis> ‘Regression’>Select Y under ‘Input Y Range’>Select X under ‘Input X Range’>Click on ‘OK’.
Output:
From the output,
y=17.05+0.046X
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