An important application of regression analysis is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, one can estimate the cost associated with a particular manufacturing volume. Consider the following sample of monthly production volumes and total costs data for a manufacturing operation for the year 2018. Month Production Volume (units) Total Costs ($) January 2018 February 2018 500 6,000 350 4,000 March 2018 450 5,000 April 2018 May 2018 550 5,400 600 5,900 June 2018 400 4,000 July 2018 400 4,200 August 2018 September 2018 350 3,900 400 4,300 October 2018 600 6,000 November 2018 700 6,400 December 2018 750 7,000

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Problem Situation 1
Correlation and Regression
An important application of regression analysis is in the estimation of cost. By
collecting data on volume and cost and using the least squares method to
develop an estimated regression equation relating volume and cost, one can
estimate the cost associated with a particular manufacturing volume. Consider
the following sample of monthly production volumes and total costs data for a
manufacturing operation for the year 2018.
Month
Production Volume (units)
Total Costs ($)
January 2018
February 2018
500
6,000
350
4,000
March 2018
450
5,000
April 2018
550
5,400
May 2018
600
5,900
June 2018
400
4,000
July 2018
August 2018
September 2018
400
4,200
350
3,900
400
4,300
October 2018
600
6,000
November 2018
700
December 2018
6,400
750
7,000
Which of the following is NOT necessarily true about the interpretation of the
value of b in the simple linear regression equation y = a + bx for this problem? *
Transcribed Image Text:PM Wed Nov 10 AA A docs.google.com LU Portal Home Bukas storage.googl... storage.googl... Home | Bukas XFINAL Problem Situation 1 Correlation and Regression An important application of regression analysis is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, one can estimate the cost associated with a particular manufacturing volume. Consider the following sample of monthly production volumes and total costs data for a manufacturing operation for the year 2018. Month Production Volume (units) Total Costs ($) January 2018 February 2018 500 6,000 350 4,000 March 2018 450 5,000 April 2018 550 5,400 May 2018 600 5,900 June 2018 400 4,000 July 2018 August 2018 September 2018 400 4,200 350 3,900 400 4,300 October 2018 600 6,000 November 2018 700 December 2018 6,400 750 7,000 Which of the following is NOT necessarily true about the interpretation of the value of b in the simple linear regression equation y = a + bx for this problem? *
Which of the following is the most suitable interpretation of the (Pearson)
correlation coefficient between production volume and total costs in this
problem?
There is a perfect positive correlation between production volume and total costs.
There is a very strong positive correlation between production volume and total costs.
There is a strong positive correlation between production volume and total costs.
There is a positive correlation between production volume and total costs.
The equation of the regression line is given by*
y = -116.01 + 0.12x
y = 1321.32 - 7.64x
y = 116.01 + 0.12x
O y = 7.64x + 1321.32
How much is the estimated total costs if the corresponding production volume
for a particular month is 300 units? *
$274.80
$287.13
$2,293.11
$3,614.43
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Transcribed Image Text:Which of the following is the most suitable interpretation of the (Pearson) correlation coefficient between production volume and total costs in this problem? There is a perfect positive correlation between production volume and total costs. There is a very strong positive correlation between production volume and total costs. There is a strong positive correlation between production volume and total costs. There is a positive correlation between production volume and total costs. The equation of the regression line is given by* y = -116.01 + 0.12x y = 1321.32 - 7.64x y = 116.01 + 0.12x O y = 7.64x + 1321.32 How much is the estimated total costs if the corresponding production volume for a particular month is 300 units? * $274.80 $287.13 $2,293.11 $3,614.43 Back Next Page 3 of 8 Clear form Never submit passwords through Google Forms. This form port Abuse
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