100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
MATH 533 WEEK 7 COURSE PROJECT PART C, REGRESSION AND CORRELATION $19.49   Add to cart

Exam (elaborations)

MATH 533 WEEK 7 COURSE PROJECT PART C, REGRESSION AND CORRELATION

 11 views  0 purchase
  • Course
  • Institution

MATH 533 Week 7 Course Project Part C: Regression and Correlation Analysis Using Minitab, perform the regression and correlation analysis for the data on SALES (Y) and CALLS (X) by answering the following questions. Generate a scatterplot for SALES versus CALLS, including the graph of the bes...

[Show more]

Preview 2 out of 5  pages

  • April 16, 2022
  • 5
  • 2021/2022
  • Exam (elaborations)
  • Questions & answers
avatar-seller
Name

Course IProject
I


C
I




Course IProject IC




PROJECT IPART IC: I Regression Iand ICorrelation IAnalysis
Using IMinitab, Iperform Ithe Iregression Iand Icorrelation Ianalysis Ifor Ithe Idata Ion ISALES I(Y) Iand ICALLS I(X)
Iby Ianswering Ithe Ifollowing Iquestions.



1. Generate Ia Iscatterplot Ifor ISALES Iversus ICALLS, Iincluding Ithe Igraph Iof Ithe Ibest Ifit
Iline.IInterpret. I(See IAppendix IA)



Sales I is I the I dependent I variable, I Calls I is I the I independent I variable. I The I trend I is I as I the
I callsIincrease Iso Idoes Ithe Isales.



2. Determine Ithe Iequation Iof Ithe Ibest Ifit Iline, Iwhich Idescribes Ithe Irelationship
IbetweenISALES Iand ICALLS.

The Iequation Iis ISales I= I9.638 I+ I0.2018 ICalls. I So Ifor Ievery Icall Ithe Isales Igo Iup I0.2018 Iin Isales.

3. Determine Ithe Icoefficient Iof Icorrelation. IInterpret.

The Icoefficient Iof Icorrelation Iis I0.871. IThis Iis Ishowing Ithat Ithere Iis Ia Istrong Irelationship Ibetween
Ithe Icalls Imade Iand Ithe Isales.



4. Determine Ithe Icoefficient Iof Idetermination. IInterpret.

The I coefficient I of I determination I is I 0.759. I The I proportion I of I the I variability I is I an
I independentIvariable.



5. Test Ithe Iutility Iof Ithis Iregression Imodel I(use Ia Itwo Itail Itest Iwith Iα I=.05).
IInterpret Iyour Iresults, Iincluding Ithe Ip-value.



T=17.5797 Ia=0.05. IP-value I= I0.00 IThere Iis Ia Irelationship Ibetween Ithe Icalls Iand Isales.

6. Based Ion Iyour Ifindings Iin I1–5, Iwhat Iis Iyour Iopinion Iabout Iusing ICALLS Ito Ipredict ISALES?
Explain. IIn Imy Iopinion Iit Iis Ia Igood Iidea Iyou Iuse Icalls Ito Ipredict Isales Ibased Ion Ithe Idata II Ihave
Iresearched. I I IThe Ifitted Iline Iplot Ishows Ius Ithat Ias Ithe Inumber Iof Icalls Iwent Iup Iso Idid Ithe Isales.

IYou Ican Ialso Itell Iby Ithe IP-value Iand Ithe Ialpha Ithat Ithere Iis Ia Istrong Irelationship Ibetween Icalls

IandIsales.



7. Compute Ithe I95% Iconfidence Iinterval Ifor Ibeta-1 I(the Ipopulation Islope).
Interpret Ithis Iinterval. I I Iam I95% Iconfident Ithat Ifor Ieach Iadditional Icall Ithat Ithe Iaverage Isales
Iwill Igo Iup Ibetween I0.17898 Iand I0.2245

.

8. Using Ian Iinterval, Iestimate Ithe Iaverage Iweekly Isales Ifor Iweekly Icalls Ithat Iare I150.
Interpret Ithis Iinterval. II Iam I95% Iconfident Ithat Ithe Imean Iweekly Isales Ifor Ithe Iweekly Icalls Iof I150
Iare Ibetween I39.41 Iand I40.40.



9. Using Ian Iinterval, Ipredict Ithe Iweekly Isales Iwhen Iweekly Icalls Iare I150.

, Interpret I this I interval. I I I am I 95% I confident I that I if I weekly I calls I are I 150 I the I weekly I sales I will
I beIbetween I35.79 Iand I44.01.

10. What Ican Iwe Isay Iabout Ithe Iweekly Isales Iwhen Iweekly Icalls Iare I300?
Explain I your I answer. I We I cannot I make I a I prediction I because I it I is I outside I the I rage I of I values I of
I ourIindependent Ivariable.




11. Using IMinitab, Irun Ithe Imultiple Iregression Ianalysis Iusing Ithe Ivariables ICALLS, ITIME,
IandIYEARS Ito Ipredict ISALES. IState Ithe Iequation Ifor Ithis Imultiple Iregression Imodel.


SALES I= I8.60864 I+ I0.20551 ICALLS I+ I0.0520391 ITIME I- I0.181791 IYEARS

For Ieach Icall Ithe Isales Iis Igoing Ito Igo Iup I0.20551 Iholding Iconstant Ithe Itime Iand Iyears.

12. Perform Ithe Iglobal Itest Ifor Iutility I(F-Test). IExplain Iyour Iconclusion.
I Iam I100% Iconfident Ithat Ithe Ientire Iregression Icoefficients Iare Iinsignificant Iat Ileast Ione Iis Isignificant.

13. Perform Ithe It-test Ion Ieach Iindependent Ivariable. IExplain Iyour Iconclusions, Iand Iclearly Istate
Ihow Iyou Ishould Iproceed. IIn Iparticular, Istate Iwhich Iindependent Ivariables Ishould Iwe Ikeep,

IandIw hich Ishould Ibe Idiscarded. I(See IAppendix IB)



The Iindependent Ivariables Ithat Ishould Ibe Idiscarded Iare Itime. I We Ishould Ikeep Ithe Icalls Iand Iyears.


14. Is Ithis Imultiple Iregression Imodel Ibetter Ithan Ithe Ilinear Imodel Ithat Iwe Igenerated Iin Iparts I1–10?
Explain. I(See IAppendix IC) IThe Isummary Imodel Ifor Ithe Imultiple Iregressions Iis Ivery Isimilar ItoIthe
Ilinear Imodel. I I Iwould Isay Ithat Ineither Ione Iof Ithem Iis Ibetter Ithan Ithe Iother,

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller academicmaster. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $19.49. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

79271 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling

Recently viewed by you


$19.49
  • (0)
  Add to cart