Gift Card Sales. For the holiday season of 2017, nearly 59 percent of consumers planned to buy gift cards. According to the National Retail Federation, millennials like to purchase gift cards (Dayton Daily News website). Consider the sample data in the file GiftCards. The following data are given for a sample of 600 millennials: the amount they reported spending on gift cards over the last year, annual income, marital status (1 = yes, 0 = no), and whether they are male (1 = yes, 0 = no).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 14SBE: Quartic Regression In Exercise S-8 through S-14, use regression to find a quartic model for the...
icon
Related questions
Topic Video
Question

 

Gift Card Sales. For the holiday season of 2017, nearly 59 percent of consumers planned to buy gift cards. According to the National Retail Federation, millennials like to purchase gift cards (Dayton Daily News website). Consider the sample data in the file GiftCards. The following data are given for a sample of 600 millennials: the amount they reported spending on gift cards over the last year, annual income, marital status (1 = yes, 0 = no), and whether they are male (1 = yes, 0 = no).

 

  1. Write out the regression equation. Discuss each For example do the signs of the coefficients make sense to you.  For example ,what is  the impact of an additional  $10,000 of  annual income , etc.                                                                                                                                                               
  2. What is the value for Coefficient of Determination?. Interpret .
  3. Using original equation, part a. What would be the estimated spend of a single male with annual income of $100,000?  

 

 

Regression Statistics
Multiple R
0.870273871
R Square
0.757376611
Adjusted R Square
0.756155352
Standard Error
14.69324313
Observations
600
Rectangular Snip
ANOVA
df
SS
MS
F
Significance F
Regression
3
401662.0627 133887.3542 620.1606832
8.7083E-183
Residual
596
128671.2707
215.8913937
Total
599
530333.3333
Coefficients
Standard Error
t Stat
P-value
Lower 95% Upper 95% ower 95.0%pper 95.0%
Intercept
-3.999536938
3.059355275 -1.307313659 0.191610315 -10.00796465 2.008891
-10.008 2.008891
Annual Income
0.000213202
3.1402E-05 6.789441558 2.72685E-11
0.00015153 0.000275 0.000152 0.000275
Married
45.78086953
1.202031639
38.08624336
8.444E-162
43.42013677
48.1416 43.42014
48.1416
Male
21.91756988
1.201226252 18.24599641 2.00455E-59 19.55841886 24.27672 19.55842 24.27672
Transcribed Image Text:Regression Statistics Multiple R 0.870273871 R Square 0.757376611 Adjusted R Square 0.756155352 Standard Error 14.69324313 Observations 600 Rectangular Snip ANOVA df SS MS F Significance F Regression 3 401662.0627 133887.3542 620.1606832 8.7083E-183 Residual 596 128671.2707 215.8913937 Total 599 530333.3333 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% ower 95.0%pper 95.0% Intercept -3.999536938 3.059355275 -1.307313659 0.191610315 -10.00796465 2.008891 -10.008 2.008891 Annual Income 0.000213202 3.1402E-05 6.789441558 2.72685E-11 0.00015153 0.000275 0.000152 0.000275 Married 45.78086953 1.202031639 38.08624336 8.444E-162 43.42013677 48.1416 43.42014 48.1416 Male 21.91756988 1.201226252 18.24599641 2.00455E-59 19.55841886 24.27672 19.55842 24.27672
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning