Group Assignment


HOLMES INSTITUTE
FACULTY OF HIGHER EDUCATION
HI6007 Group Assignment


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


Question 1                                                                                           8 marks

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).

136
281
226
123
178
445
231
389
196
175
211
162
212
241
182
290
434
167
246
338
194
242
368
258
323
196
183
209
198
212
277
348
173
409
264
237
490
222
472
248
231
154
166
214
311
141
159
362
189
260


a.  Prepare a frequency distribution, relative frequency distribution, and percent
frequency distribution for the data set using a class width of $50.   (3 marks)

b. Construct a histogram showing the percent frequency distribution of the furniture order values in the sample. Comment on the shape of the distribution.(3 marks)

c.  Given the shape of the distribution in part b, what measure of location would be most appropriate for this data set?                                                   (2 marks)



Question 2                                                                                           6 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
1
5048.818
Residual
46
3132.661
Total
47
8181.479

Coefficients
Standard Error
Intercept
80.390
3.102
X
-2.137
0.248


a.  Determine whether or not demand and unit price are related. Use α = 0.05.
(2 marks)

b. Compute the coefficient of determination and fully interpret its meaning.
Be very specific.                                                                 (2 marks)

c.  Compute the coefficient of correlation and explain the relationship between
demand and unit price.                                                      (2 marks)



Question 3                                                                                           6 marks

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



Sum of
Degrees of
Mean

Source of Variation
Squares
Freedom
Square
F
Between Treatments
390.58



Within Treatments (Error)
158.40



Total
548.98
23




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.


Question 4                                                                                         10 marks

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

40.700




Residual

1.016





Coefficients
Standard Error




Intercept
0.8051





x1
0.4977
0.4617




x2
0.4733
0.0387




a.  Develop an estimated regression equation relating y to x1 and x2.
(2 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.
(2 marks)
c.  At α = 0.05, test to see if β1 and β2 is significantly different from zero.       (2 marks)
d.  Interpret slope coefficient for X2.                                              (2 marks)
e.  If the company charges $20,000 for each phone and uses 10 advertising spots, how
many mobile phones would you expect them to sell in a day?         (2 marks)


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