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HI6007 T12018 Group Assignment Page 1 HOLMES INSTITUTE FACULTY OF HIGHER EDUCATION HI6007 Group Assignment Due End of Week 10 WORTH 30% (Maximum 5 students in the group) MS Excel must be used for...

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HI6007 T12018 Group Assignment Page 1


HOLMES INSTITUTE
FACULTY OF HIGHER EDUCATION
HI6007 Group Assignment
Due End of Week 10
WORTH 30%
(Maximum 5 students in the group)

MS Excel must be used for performing calculation/graphical presentation as required
in this assignment


Question XXXXXXXXXXmarks

Missy Walters owns a mail-order business specializing in clothing, linens, and furniture for
children. She is considering offering her customers a discount on shipping charges for
furniture based on the dollar-amount of the furniture order. Before Missy decides the
discount policy, she needs a better understanding of the dollar-amount distribution of the
furniture orders she receives.

Missy had an assistant randomly select 50 recent orders that included furniture. The
assistant recorded the value, to the nearest dollar, of the furniture portion of each order. The
data collected is listed below (data set also provided in accompanying MS Excel file).

XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX


a. Prepare a frequency distribution, relative frequency distribution, and percent
frequency distribution for the data set using a class width of $5 XXXXXXXXXX3 marks)

. Construct a histogram showing the percent frequency distribution of the furniture-
order values in the sample. Comment on the shape of the distribution XXXXXXXXXXmarks)

c. Given the shape of the distribution in part b, what measure of location would be most
appropriate for this data set? XXXXXXXXXXmarks)
















HI6007 T12018 Group Assignment Page 2


Question 2 XXXXXXXXXX6 marks

Shown below is a portion of a computer output for a regression analysis relating Y (demand)
and X (unit price).

ANOVA
df SS
Regression XXXXXXXXXX
Residual XXXXXXXXXX
Total XXXXXXXXXX

Coefficients Standard E
or
Intercept XXXXXXXXXX
X XXXXXXXXXX


a. Determine whether or not demand and unit price are related. Use α = 0.05.
XXXXXXXXXX2 marks)
. Compute the coefficient of determination and fully interpret its meaning.
Be very specific. XXXXXXXXXX2 marks)
c. Compute the coefficient of co
elation and explain the relationship between
demand and unit price. XXXXXXXXXX2 marks)


Question 3 XXXXXXXXXX6 marks

The following are the results from a completely randomized design consisting of 3
treatments.



Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square

F
Between Treatments 390.58
Within Treatments (E
or XXXXXXXXXX
Total XXXXXXXXXX



Using α = .05, test to see if there is a significant difference among the means of the three
populations. The sample sizes for the three treatments are equal.















HI6007 T12018 Group Assignment Page 3



Question XXXXXXXXXXmarks

In order to determine whether or not the number of mobile phones sold per day (y) is related
to price (x1 in $1,000), and the number of advertising spots (x2), data were gathered for 7
days. Part of the Excel output is shown below.

ANOVA
df SS MS F
Regression XXXXXXXXXX
Residual XXXXXXXXXX

Coefficients Standard E
or
Intercept 0.8051
x XXXXXXXXXX
x XXXXXXXXXX

a.

a. Develop an estimated regression equation relating y to x1 and x2 XXXXXXXXXX2 marks)
b. At α = 0.05, test to determine if the estimated equation developed in Part a represents
a significant relationship between all the independent variables and the dependent variable.
Answered Same Day May 11, 2020 HI6007

Solution

Pooja answered on May 12 2020
146 Votes
1
    data:                    a)
    136        Row Labels    Count of data:        Class Interval    Fi    R Fi    % Fi
    281        100-149    3        100-149    3    0.06    6%
    226        150-199    15        150-199    15    0.3    30%
    123        200-249    14        200-249    14    0.28    28%
    178        250-299    6        250-299    6    0.12    12%
    445        300-349    4        300-349    4    0.08    8%
    231        350-399    3        350-399    3    0.06    6%
    389        400-449    3        400-449    3    0.06    6%
    196        450-500    2        450-500    2    0.04    4%
    175        Grand Total    50            50
    211
    162                    b)
    212
    241
    182
    290
    434
    167
    246
    338
    194
    242
    368
    258
    323
    196                    the distribution of the value of the furniture portion of each order is positively skewed.
    183
    209                    c)
    198                    for a distribution which is skewed, median is considered as the best measure of central tendency.
    212
    277
    348
    173
    409
    264
    237
    490
    222
    472
    248
    231
    154
    166
    214
    311
    141
    159
    362
    189
    260
% Fi    100-149    150-199    200-249    250-299    300-349    350-399    400-449    450-500    0.06    0.3    0.28000000000000003    0.12    0.08    0.06    0.06    0.04    
2
        ANOVA
            df    SS    MSS = SS/df    F = MSR/MSE
        Regression    1    5048.818    5048.818    74.1368529822
        Residual    46    3132.661    68.101326087
        Total    47    8181.479    174.0740212766
            Coefficients    Standard E
o
        Intercept    80.39    3.102
        X    -2.137    0.248
        A)
        Null hypothesis, Ho:    There is...
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