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.

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 number of hours 6 students spent for a test and their scores on that test are shown below.
 
Hours spent studying, x
0
1
3
4
5
6
 
​(a)
x=3
hours
​(b)
x=2.5
hours
Test​ score, y
40
44
52
49
62
70
 
​(c)
x=15
hours
​(d)
x=1.5
hours
 
 
 

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Part 1
Find the regression equation.
 
y=enter your response herex+enter your response here
​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)
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