ECPI MTH140 STATISTICS PROJECT Use these data for the project: Number of Absences:0, 1, 2, 2, 3, 3, 4, 5, 6 Final Grade:96,91,78, 83, 75, 62, 70, 68, 56 PART B This week, you will submit Part B of...

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Answered Same DayJul 13, 2021

Answer To: ECPI MTH140 STATISTICS PROJECT Use these data for the project: Number of Absences:0, 1, 2, 2, 3, 3,...

Subhanbasha answered on Jul 15 2021
164 Votes
Part B
    
    Counts
    
    No of Absences
    9
    Final grade
    9
    
    
    Mean
    
    No of absences
    2.888888889
    Final grade
    75.44444444
    
    
    Median
    
    No of absences
    3
    Final grade
    75

    
    
    Mode
    
    No of absences
    2
    Final grade
     #N/A
    
    
    No of Absences
     
    Final grade
     
    
    
    
    
    Mean
    2.888888889
    Mean
    75.44444
    Standard Error
    0.633430792
    Standard Error
    4.36562
    Median
    3
    Median
    75
    Mode
    2
    Mode
    #N/A
    Standard Deviation
    1.900292375
    Standard Deviation
    13.09686
    Sample Variance
    3.611111111
    Sample Variance
    171.5278
    Kurtosis
    -0.489940828
    Kurtosis
    -0.74812
    Skewness
    0.202398004
    Skewness
    0.181826
    Range
    6
    Range
    40
    Minimum
    0
    Minimum
    56
    Maximum
    6
    Maximum
    96
    Sum
    26
    Sum
    679
    Count
    9
    Count
    9
Interpretation
The above table provides the summary statistics of both the variables No of Absences and Final Grade. We calculated the respective summary statistics like mean, median, standard deviation, mode, etc. For further regression analysis we select No of Absences as Independent variable, whereas Final grade as Dependent variable.
    
Part C
    
    
    
    
    Z-scores
    z=1
    z=-1.25
    z=2.12
    z=-3.5
    Probabilities
    0.241970725
    0.182649085
    0.042166107
    0.000872683
Interpretation
From the above z-scores, we observe various ranges of z-scores. The higher positive z score resembles, it is unusually large value and there is a very lesser chance in its occurrence. Hence, we choose a lower positive z-score. Therefore, we select the mean value that lies between the lower positive z scores.
    Part D
    
    
    
    
    
    
    Confidence percent
    No of Absences
    Lower limit
    upper limit
    
    
    
    90%
    1.041900935
    1.846987954
    3.930789824
    
    
    
    95%
    1.241501538
    1.64738735
    4.130390427
    
    
    8887
    99%
    1.631609595
    1.257279294
    4.520498484
    
    
    7
    
    Final grade
    Lower limit
    Upper...
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