Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Chapter 4.6, Problem 1BGP
To determine

To write: An equation of the best fit line

To find: The correlation coefficient

Expert Solution & Answer
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Answer to Problem 1BGP

The equation of best line is y=5.952x+44.214 .

The correlation coefficient is 0.8495. The relation is strongly positively correlated.

Explanation of Solution

Given Information: A table showing the number of goals of leading scorers for the Mustang Girls Hockey Team.

Calculation:

An equation of the best fit line is given by,

  y=ax+b ...... (1)

  • Here, a is the intercept and y is the slope.

The years start from 2007 and go on till 2014.

Assume the year 2007 as 1 and x be the number of years since 2007.

Find xy and x2 ,

    xyxyx2
    163631
    244884
    3551659
    46325216
    58140525
    68551036
    79365149
    88467264

Sum of every column is,

  x=36y=568xy=2806x2=204

Calculate a as,

  a=yx2xxynx2(x)2=568×20436×28068×204362=44.214

Calculate b as,

  b=nxyxynx2(x)2=8×280636×5688×204362=5.952

Substitute the values of a and b in equation (1),

  y=ax+by=5.952x+44.214

  • Here, x be the number of years since 2007.

Hence, the equation of best line is,

  y=5.952x+44.214

The equation of best line is shown below:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 4.6, Problem 1BGP

Find xy , x2 and y2 ,

    xyxyx2y2
    1636313960
    2448841936
    35516593025
    463252163969
    581405256561
    685510367225
    793651498649
    884672647056

Sum of every column is,

  x=36y=281xy=1343x2=204y2=42390

Calculate r as,

  r=nxyxy[nx2(x)2].[ny2(y)2]=8×280636×568[8×204362][8×423905682]=0.8495

Therefore, the correlation coefficient is 0.8495

The correlation coefficient lies between 1 and 1 , here since the value is close to 1 the relation is strongly positively correlated.

Chapter 4 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 4.1 - Prob. 5CYUCh. 4.1 - Prob. 6CYUCh. 4.1 - Prob. 7CYUCh. 4.1 - Prob. 8CYUCh. 4.1 - Prob. 9CYUCh. 4.1 - Prob. 10PPSCh. 4.1 - Prob. 11PPSCh. 4.1 - Prob. 12PPSCh. 4.1 - Prob. 13PPSCh. 4.1 - Prob. 14PPSCh. 4.1 - Prob. 15PPSCh. 4.1 - Prob. 16PPSCh. 4.1 - Prob. 17PPSCh. 4.1 - Prob. 18PPSCh. 4.1 - Prob. 19PPSCh. 4.1 - Prob. 20PPSCh. 4.1 - Prob. 21PPSCh. 4.1 - Prob. 22PPSCh. 4.1 - Prob. 23PPSCh. 4.1 - Prob. 24PPSCh. 4.1 - Prob. 25PPSCh. 4.1 - Prob. 26PPSCh. 4.1 - Prob. 27PPSCh. 4.1 - Prob. 28PPSCh. 4.1 - Prob. 29PPSCh. 4.1 - Prob. 30PPSCh. 4.1 - Prob. 31PPSCh. 4.1 - Prob. 32PPSCh. 4.1 - Prob. 33PPSCh. 4.1 - Prob. 34PPSCh. 4.1 - Prob. 35PPSCh. 4.1 - Prob. 36PPSCh. 4.1 - Prob. 37PPSCh. 4.1 - Prob. 38PPSCh. 4.1 - Prob. 39PPSCh. 4.1 - Prob. 40PPSCh. 4.1 - Prob. 41PPSCh. 4.1 - Prob. 42PPSCh. 4.1 - Prob. 43PPSCh. 4.1 - Prob. 44PPSCh. 4.1 - Prob. 45PPSCh. 4.1 - Prob. 46PPSCh. 4.1 - Prob. 47HPCh. 4.1 - Prob. 48HPCh. 4.1 - Prob. 49HPCh. 4.1 - Prob. 50HPCh. 4.1 - Prob. 51HPCh. 4.1 - Prob. 52HPCh. 4.1 - Prob. 53PFACh. 4.1 - Prob. 54PFACh. 4.1 - Prob. 55PFACh. 4.1 - Prob. 56PFACh. 4.1 - Prob. 57PFACh. 4.1 - Prob. 58PFACh. 4.2 - Prob. 1GPCh. 4.2 - Prob. 2GPCh. 4.2 - Prob. 3AGPCh. 4.2 - Prob. 3BGPCh. 4.2 - Prob. 4AGPCh. 4.2 - Prob. 4BGPCh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 10CYUCh. 4.2 - Prob. 11CYUCh. 4.2 - Prob. 12CYUCh. 4.2 - Prob. 13PPSCh. 4.2 - Prob. 14PPSCh. 4.2 - Prob. 15PPSCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - Prob. 20PPSCh. 4.2 - Prob. 21PPSCh. 4.2 - Prob. 22PPSCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 24PPSCh. 4.2 - Prob. 25PPSCh. 4.2 - Prob. 26PPSCh. 4.2 - Prob. 27PPSCh. 4.2 - Prob. 28PPSCh. 4.2 - Prob. 29PPSCh. 4.2 - Prob. 30PPSCh. 4.2 - Prob. 31PPSCh. 4.2 - Prob. 32PPSCh. 4.2 - Prob. 33PPSCh. 4.2 - Prob. 34PPSCh. 4.2 - Prob. 35PPSCh. 4.2 - Prob. 36PPSCh. 4.2 - Prob. 37PPSCh. 4.2 - Prob. 38PPSCh. 4.2 - Prob. 39PPSCh. 4.2 - Prob. 40PPSCh. 4.2 - Prob. 41PPSCh. 4.2 - Prob. 42HPCh. 4.2 - Prob. 43HPCh. 4.2 - Prob. 45HPCh. 4.2 - Prob. 46HPCh. 4.2 - Prob. 47HPCh. 4.2 - Prob. 48PFACh. 4.2 - Prob. 49PFACh. 4.2 - Prob. 50PFACh. 4.2 - Prob. 51PFACh. 4.2 - Prob. 52PFACh. 4.2 - Prob. 53PFACh. 4.2 - Prob. 54PFACh. 4.2 - Prob. 55PFACh. 4.3 - Prob. 1GPCh. 4.3 - Prob. 2GPCh. 4.3 - Prob. 3GPCh. 4.3 - Prob. 4GPCh. 4.3 - Prob. 1CYUCh. 4.3 - Prob. 2CYUCh. 4.3 - Prob. 3CYUCh. 4.3 - Prob. 4CYUCh. 4.3 - Prob. 5CYUCh. 4.3 - Prob. 6CYUCh. 4.3 - Prob. 7CYUCh. 4.3 - Prob. 8CYUCh. 4.3 - Prob. 9CYUCh. 4.3 - Prob. 10CYUCh. 4.3 - Prob. 11PPSCh. 4.3 - Prob. 12PPSCh. 4.3 - Prob. 13PPSCh. 4.3 - Prob. 14PPSCh. 4.3 - Prob. 15PPSCh. 4.3 - Prob. 16PPSCh. 4.3 - Prob. 17PPSCh. 4.3 - Prob. 18PPSCh. 4.3 - Prob. 19PPSCh. 4.3 - Prob. 20PPSCh. 4.3 - Prob. 21PPSCh. 4.3 - Prob. 22PPSCh. 4.3 - Prob. 23PPSCh. 4.3 - Prob. 24PPSCh. 4.3 - Prob. 25PPSCh. 4.3 - Prob. 26PPSCh. 4.3 - Prob. 27PPSCh. 4.3 - Prob. 28PPSCh. 4.3 - 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Prob. 1AGPCh. 4.5 - Prob. 1BGPCh. 4.5 - Prob. 1CGPCh. 4.5 - Prob. 2AGPCh. 4.5 - Prob. 2BGPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4PPSCh. 4.5 - Prob. 5PPSCh. 4.5 - Prob. 6PPSCh. 4.5 - Prob. 7PPSCh. 4.5 - Prob. 8PPSCh. 4.5 - Prob. 9PPSCh. 4.5 - Prob. 10PPSCh. 4.5 - Prob. 11PPSCh. 4.5 - Prob. 12PPSCh. 4.5 - Prob. 13PPSCh. 4.5 - Prob. 14PPSCh. 4.5 - Prob. 15PPSCh. 4.5 - Prob. 16HPCh. 4.5 - Prob. 17HPCh. 4.5 - Prob. 18HPCh. 4.5 - Prob. 19HPCh. 4.5 - Prob. 21PFACh. 4.5 - Prob. 22PFACh. 4.5 - Prob. 23PFACh. 4.5 - Prob. 24PFACh. 4.5 - Prob. 25PFACh. 4.5 - Prob. 26PFACh. 4.5 - Prob. 27PFACh. 4.6 - Prob. 1AGPCh. 4.6 - Prob. 1BGPCh. 4.6 - Prob. 2GPCh. 4.6 - Prob. 3AGPCh. 4.6 - Prob. 3BGPCh. 4.6 - Prob. 4GPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4PPSCh. 4.6 - Prob. 5PPSCh. 4.6 - Prob. 6PPSCh. 4.6 - Prob. 7PPSCh. 4.6 - Prob. 8PPSCh. 4.6 - Prob. 9PPSCh. 4.6 - Prob. 10PPSCh. 4.6 - Prob. 11PPSCh. 4.6 - Prob. 12PPSCh. 4.6 - Prob. 13PPSCh. 4.6 - Prob. 14PPSCh. 4.6 - Prob. 15HPCh. 4.6 - Prob. 16HPCh. 4.6 - Prob. 17HPCh. 4.6 - Prob. 18HPCh. 4.6 - Prob. 19PPSCh. 4.6 - Prob. 20PPSCh. 4.6 - Prob. 21PPSCh. 4.6 - Prob. 22PPSCh. 4.6 - Prob. 23PPSCh. 4.7 - Prob. 1AGPCh. 4.7 - Prob. 1BGPCh. 4.7 - Prob. 2AGPCh. 4.7 - Prob. 2BGPCh. 4.7 - Prob. 3AGPCh. 4.7 - Prob. 3BGPCh. 4.7 - Prob. 4AGPCh. 4.7 - Prob. 4BGPCh. 4.7 - Prob. 4CGPCh. 4.7 - Prob. 1CYUCh. 4.7 - Prob. 2CYUCh. 4.7 - Prob. 3CYUCh. 4.7 - Prob. 4CYUCh. 4.7 - Prob. 5CYUCh. 4.7 - Prob. 6CYUCh. 4.7 - Prob. 7CYUCh. 4.7 - Prob. 8PPSCh. 4.7 - Prob. 9PPSCh. 4.7 - Prob. 10PPSCh. 4.7 - Prob. 11PPSCh. 4.7 - Prob. 12PPSCh. 4.7 - Prob. 13PPSCh. 4.7 - Prob. 14PPSCh. 4.7 - Prob. 15PPSCh. 4.7 - Prob. 16PPSCh. 4.7 - Prob. 17PPSCh. 4.7 - Prob. 18PPSCh. 4.7 - Prob. 19PPSCh. 4.7 - Prob. 20PPSCh. 4.7 - Prob. 21PPSCh. 4.7 - Prob. 22PPSCh. 4.7 - Prob. 23PPSCh. 4.7 - Prob. 24PPSCh. 4.7 - Prob. 25PPSCh. 4.7 - Prob. 26PPSCh. 4.7 - Prob. 27PPSCh. 4.7 - Prob. 28PPSCh. 4.7 - Prob. 29PPSCh. 4.7 - Prob. 30PPSCh. 4.7 - Prob. 31PPSCh. 4.7 - Prob. 32PPSCh. 4.7 - Prob. 33PPSCh. 4.7 - Prob. 34PPSCh. 4.7 - Prob. 35PPSCh. 4.7 - Prob. 36PPSCh. 4.7 - Prob. 37PPSCh. 4.7 - Prob. 38HPCh. 4.7 - Prob. 39HPCh. 4.7 - Prob. 40HPCh. 4.7 - Prob. 41HPCh. 4.7 - Prob. 42HPCh. 4.7 - Prob. 43HPCh. 4.7 - Prob. 44PFACh. 4.7 - Prob. 45PFACh. 4.7 - Prob. 46PFACh. 4.7 - Prob. 47PFACh. 4.7 - Prob. 48PFACh. 4.7 - Prob. 49PFACh. 4.7 - Prob. 50PFACh. 4.7 - Prob. 51PFACh. 4.7 - Prob. 52PFACh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 21MCQCh. 4 - Prob. 22MCQCh. 4 - Prob. 23MCQCh. 4 - Prob. 1SGRCh. 4 - Prob. 2SGRCh. 4 - Prob. 3SGRCh. 4 - Prob. 4SGRCh. 4 - Prob. 5SGRCh. 4 - Prob. 6SGRCh. 4 - Prob. 7SGRCh. 4 - Prob. 8SGRCh. 4 - Prob. 9SGRCh. 4 - Prob. 10SGRCh. 4 - Prob. 11SGRCh. 4 - Prob. 12SGRCh. 4 - Prob. 13SGRCh. 4 - Prob. 14SGRCh. 4 - Prob. 15SGRCh. 4 - Prob. 16SGRCh. 4 - Prob. 17SGRCh. 4 - Prob. 18SGRCh. 4 - Prob. 19SGRCh. 4 - Prob. 20SGRCh. 4 - Prob. 21SGRCh. 4 - Prob. 22SGRCh. 4 - Prob. 23SGRCh. 4 - Prob. 24SGRCh. 4 - Prob. 25SGRCh. 4 - Prob. 26SGRCh. 4 - Prob. 27SGRCh. 4 - Prob. 28SGRCh. 4 - Prob. 29SGRCh. 4 - Prob. 30SGRCh. 4 - Prob. 31SGRCh. 4 - Prob. 32SGRCh. 4 - Prob. 33SGRCh. 4 - Prob. 34SGRCh. 4 - Prob. 35SGRCh. 4 - Prob. 36SGRCh. 4 - Prob. 37SGRCh. 4 - Prob. 38SGRCh. 4 - Prob. 39SGRCh. 4 - Prob. 40SGRCh. 4 - Prob. 41SGRCh. 4 - Prob. 42SGRCh. 4 - Prob. 43SGRCh. 4 - Prob. 44SGRCh. 4 - Prob. 45SGRCh. 4 - Prob. 46SGRCh. 4 - Prob. 47SGRCh. 4 - Prob. 48SGRCh. 4 - Prob. 49SGRCh. 4 - Prob. 50SGRCh. 4 - Prob. 51SGRCh. 4 - Prob. 52SGRCh. 4 - Prob. 53SGRCh. 4 - Prob. 54SGRCh. 4 - Prob. 55SGRCh. 4 - Prob. 56SGRCh. 4 - Prob. 57SGRCh. 4 - Prob. 58SGRCh. 4 - Prob. 59SGRCh. 4 - Prob. 60SGRCh. 4 - Prob. 61SGRCh. 4 - Prob. 62SGRCh. 4 - Prob. 63SGRCh. 4 - Prob. 64SGRCh. 4 - Prob. 65SGRCh. 4 - Prob. 66SGRCh. 4 - Prob. 67SGRCh. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Prob. 6PTCh. 4 - Prob. 7PTCh. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CR
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