Bi-lo Appliance Super-Store has outlets in several large metropolitan areas in N
ID: 3218414 • Letter: B
Question
Bi-lo Appliance Super-Store has outlets in several large metropolitan areas in New England. The general sales manager aired a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday. She obtained the information for Saturday Sunday digital camera sales at the various outlets and paired it with the number of times the advertisement was shown on the local TV stations. The purpose is to find whether there is any relationship between the number of times the advertisement was aired and digital camera sales. The pairings are: (a) What is the dependent variable? is the dependent variable (c) Determine the correlation coefficient (Round your answer to 2 decimal places.) Coefficient of correlation ____________ (d) Interpret these statistical measures The statistical measures obtained here indicate correlation between the variables.Explanation / Answer
a.
sales are the dependent variable
b.
r( X,Y) =Co V ( X,Y) / S.D (X) * S.D (y)
r( X,Y) = Sum(XY) / N- Mean of (X) * Mean of (Y) / Sqrt( X^2/n - ( Mean of X)^2 ) Sqrt( Y^2/n - ( Mean of Y)^2 )
Co v ( X, Y ) = 1 /5 (376) - [ 1/5 *20 ] [ 1/5 *85] = 7.2
S. D ( X ) = Sqrt( 1/5*90-(1/5*20)^2) = 1.414
S .D (Y) = Sqrt( 1/5*1595-(1/5*85)^2) = 5.477
r(x,y) = 7.2 / 1.414*5.477 = 0.9297
If r = 0.9297> 0 ,Perfect Positive Correlation
Coeffcient of determination = r^2 = 0.864342
c.
it indicates Perfect Positive Correlation
( X) ( Y) X^2 Y^2 X*Y 4 15 16 225 60 2 8 4 64 16 5 21 25 441 105 6 24 36 576 144 3 17 9 289 51 20 85 90 1595 376 = TOTALSRelated Questions
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