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MS Excel must be used to perform any calculations/graphical presentations as required in this assignment Question 1 7 marks Below you are given the examination scores of 20 students (data set also...

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MS Excel must be used to perform any calculations/graphical presentations asrequired in this assignmentQuestion 1 7 marksBelow you are given the examination scores of 20 students (data set also provided inaccompanying MS Excel file). XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXXa. Construct a frequency distribution, cumulative frequency distribution, relativefrequency distribution, cumulative relative frequency distribution and percentfrequency distribution for the data set using a class width of XXXXXXXXXXmarks)b. Construct a histogram showing the percent frequency distribution of the examinationscores. Comment on the shape of the distribution. (2 marks)Question 2 8 marksShown below is a portion of a computer output for a regression analysis relating supply (Y inthousands of units) and unit price (X in thousands of dollars).ANOVAdf SSRegression XXXXXXXXXXResidual XXXXXXXXXXCoefficients Standard ErrorIntercept XXXXXXXXXXX 0.0290.021a.What has been the sample size for this problem? (1 mark)b. Determine whether or not demand and unit price are related. Use α = XXXXXXXXXXmarks) Determine c.Compute the coefficient of determination and fully interpret its meaning. Be very specific.(2 marks)d.Compute the coefficient of correlation and explain the relationship between supply andunit price. (2 marks)e. Predict the supply (in units) when the unit price is $50, XXXXXXXXXXmark)HI6007 T12018 Group Assignment Page 2Question 3 6 marksAllied Corporation wants to increase the productivity of its line workers. Four different programs have been suggested to help increase productivity. Twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. You are given the results below (data set also provided in accompanying MS Excel file). Program A Program B Program C Program D XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX a. Construct an ANOVA table. (3 marks) b. As the statistical consultant to Allied, what would you advise them? Use a .05 level of significance. (3 marks)Question 4 9 marksA company has recorded data on the weekly sales for its product (y), the unit price of the competitor's product (x1), and advertising expenditures (x2). The data resulting from a random sample of 7 weeks follows. Use Excel's Regression Tool to answer the following questions (data set also provided in accompanying MS Excel file). Week Price Advertising Sales XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXXa. What is the estimated regression equation? Show the regression output. (2 marks) b. Determine whether the model is significant overall. Use α = XXXXXXXXXXmarks) c. Determine if competitor’s price and advertising is individually significantly related to sales. Use α = XXXXXXXXXXmarks) d. e. Based on your answer to part (c), drop any insignificant independent variable(s) and re-estimate the model. What is the new estimated regression equation? (2 marks) Interpret the slope coefficient(s) of the model from part (d). (1 marks)HI6007 T12018
Answered Same Day Sep 04, 2020 HI6007

Solution

Abr Writing answered on Sep 11 2020
157 Votes
MS Excel must be used to perform any calculations/graphical presentations as required in this assignment
Question 1    7 marks
Below you are given the examination scores of 20 students (data set also provided in accompanying MS Excel file).
    52
    99
    92
    86
    84
    63
    72
    76
    95
    88
    92
    58
    65
    79
    80
    90
    75
    74
    56
    99
    a.
    Construct a frequency distribution, cumulative frequency distribution, relative
    
    frequency distribution, cumulative relative frequency distribution and percent
    
    frequency distribution for the data set using a class width of 10.
    (5 marks)
    b.
    Construct a histogram showing the percent frequency distribution of the examination
    
    scores. Comment on the shape of the distribution.
    (2 marks)
a.
    Class interval
    Frequency
    Cumulative frequency
    Relative frequency
    Cumulative relative frequency
    Percent frequency
    51 – 61
    3
    3
    0.15
    0.15
    15
    61 – 71
    2
    5
    0.10
    0.25
    10
    71 – 81
    6
    11
    0.30
    0.55
    30
    81 – 91
    4
    15
    0.20
    0.75
    20
    91 – 101
    5
    20
    0.25
    1.00
    25
b.
The distribution is slightly negatively skewed.
Question 2    8 marks
Shown below is a portion of a computer output for a regression analysis relating supply (Y in thousands of units) and unit price (X in thousands of dollars).
    ANOVA
    
    
    
    
    
    df
    SS
    
    Regression
    1
    354.689
    
    Residual
    39
    7035.262
    
    
    
    Coefficients
    Standard E
o
    
    Intercept
    54.076
    2.358
    
    X
    
    0.029
    0.021
    
    
    
    
    
    
    a.
    What has been the sample size for this problem?
    (1 mark)
    b.
    Determine whether or not demand and unit price are related. Use α = 0.05.
    (2 marks)
c. Compute the coefficient of determination and fully interpret its meaning. Be very specific.
(2 marks)
    d.
    Compute the coefficient of co
elation and explain the relationship between supply and
    
    unit price.
    (2 marks)
    e.
    Predict the supply (in units) when the unit price is $50,000.
    (1 mark)
    
    
    
    
    HI6007 T12018 Group Assignment
    Page 1
a. The sample size for the problem is 41.
. t value = 0.029 / 0.021 = 1.381
t0.025, 39 = 2.021
As the tabulated value is...
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