1. A) Statistics Assignment Sample

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Source of Variation Degree of Freedom Sum of Squares Mean Square F-Value P-Value
Between Treatments 3 90 30 5 0.022077
Within Treatments (Error) 20 120 6    
Total 23 210 36    

            P-Value = 0.022077, the result is not significant at p<0.01

  1. B) Effect Size = Sum of Squares of error/total sum of squares

= 120/210

= 0.57

  1. C) From the table the total treatment = I-1=3

= 4 treatments.

                        Observation in each group = I (J-1) = 20

                                                                        = 4(J-1) =20

                                                                        =J-1=5

                                                                        =J=6

                        Total Number of freedom = n-1 = 23

                                                            = n = 24.

Note: Please refer to Excel sheet for Question 2.

Mention below is the formula used to find the a & b from which we have find yhat


  • F-test = larger sample variance/ smaller sample variance

Note: For both part check the excel sheet (a & b)

Analysis

y = -0.2521x + 22.95

F=51.09244 (df = 5)

T=correlation= -0.035269231

Here slope indicates the negative linear relationship as the price goes up by $1 the number of unit sold goes down by 0.2521x

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