he table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Usinghis data, consider the equation of the regression line, y = bo + bjx, for predicting the overall grade average for a middle school student based on the number of hoursspent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not beappropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.Hours Unsupervised11.52.53.55.5Overall Grades96948987827468TableCopy DataStep 3 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if thevalue of the independent variable is increased by one unit, then find the change in the dependent variable y.田 TablesE KeypadAnswerHow to enter your answerKeyboard ShortcutsPrevious step answersSubmit Answer© 2021 Hawkes Learningre to searchhp

Hours Unsupervised (x) Overall Grades (y) xy 1 96 96 1.5 94 141 2 89 178 2.5 87 217 3.5 82…

Answered: he table below gives the number of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Question

he table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using
his data, consider the equation of the regression line, y = bo + bjx, for predicting the overall grade average for a middle school student based on the number of hours
spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be
appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Hours Unsupervised
1
1.5
2.5
3.5
5.5
Overall Grades
96
94
89
87
82
74
68
Table
Copy Data
Step 3 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the
value of the independent variable is increased by one unit, then find the change in the dependent variable y.
田 Tables
E Keypad
Answer
How to enter your answer
Keyboard Shortcuts
Previous step answers
Submit Answer
© 2021 Hawkes Learning
re to search
hp

Expert Solution

Step 1: Introduction

Hours Unsupervised (x)	Overall Grades (y)	xy
1	96	96
1.5	94	141
2	89	178
2.5	87	217
3.5	82	287
5	74	370
5.5	68	374

The regression equation is given as $\hat{y} = b_{0} + b_{1} x$ where

$b_{1} = \frac{n \sum_{i = 1}^{n} x y - \sum_{i = 1}^{n} x \sum_{i = 1}^{n} y}{n \sum_{i = 1}^{n} x^{2} - {(\sum_{i = 1}^{n} x)}^{2}} b_{0} = y - b_{1} x$

$m e a n = \frac{s u m o f a l l t h e v a l u e s}{t o t a l n u m b e r o f o b e r s e r v a t i o n}$

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