ind 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 number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 0 1 2 4 5 5 (a) x=3 hours (b) x=4.5 hours Test score, y 40 43 51 48 64 73 (c) x=14 hours (d) x=3.5 hours
ind 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 number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 0 1 2 4 5 5 (a) x=3 hours (b) x=4.5 hours Test score, y 40 43 51 48 64 73 (c) x=14 hours (d) x=3.5 hours
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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 number of hours 6 students spent for a test and their scores on that test are shown below.
|
Hours spent studying, x
|
0
|
1
|
2
|
4
|
5
|
5
|
|
(a)
x=3
hours |
(b)
x=4.5
hours |
|---|---|---|---|---|---|---|---|---|---|
|
Test score, y
|
40
|
43
|
51
|
48
|
64
|
73
|
|
(c)
x=14
hours |
(d)
x=3.5
hours |
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
Given data,
| X | Y | X*Y | X*X |
| 0 | 40 | 0 | 0 |
| 1 | 43 | 43 | 1 |
| 2 | 51 | 102 | 4 |
| 4 | 48 | 192 | 16 |
| 5 | 64 | 320 | 25 |
| 5 | 73 | 365 | 25 |
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