MATHEMATICS

(a) Determine the regression equation. (Round your answers to 3 decimal places.)

 

  Picture  =  [removed]  +  [removed]X

 

(b) Determine the number of kilowatt-hours, in thousands, for a six-room house.(Round your answer to 3 decimal places.)

 

 Number of kilowatt-hours [removed]

 

10)   Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The X column indicates the number of client contacts last month, and the Y column shows the value of sales ($ thousands) last month for each client sampled.

 

Number of
Contacts,
X
Sales
($ thousands),
Y
Number of
Contacts,
X
Sales
($ thousands),
Y
14   24   23   30  
12   14   48   90  
20   28   50   85  
16   30   55   120  
46   80   50   110  

 

PictureClick here for the Excel Data File

 

(a) Determine the regression equation. (Negative amounts should be indicated by a minus sign.Do not round intermediate calculations. Round final answers to 2 decimal places.)

 

X Y Picture Picture (Picture ) 2 (Picture )2 (Picture )(Picture )
14 [removed] [removed] [removed] 376.36 1376.41 719.74
12 14 −21.4 −47.1 [removed] [removed] [removed]
20 [removed] −13.4 [removed] 179.56 [removed] 443.54
16 30 [removed] −31.1 [removed] 967.21 [removed]
46 [removed] 12.6 [removed] [removed] 357.21 [removed]
23 [removed] −10.4 [removed] [removed] 967.21 [removed]
48 90 [removed] 28.9 213.16 [removed] 421.94
50 85 [removed] 23.9 275.56 [removed] 396.74
55 [removed] [removed] [removed] 466.56 3469.21 1,272.24
50 110.0 16.6 48.9 [removed] [removed] [removed]
[removed] [removed]     [removed] [removed] [removed]

 

  Picture = [removed]     Picture = [removed]     sx = [removed]

 

sy = [removed]   r = [removed]

 

   b =[removed]

 

   a  = [removed]   Y’ = [removed]+ [removed]X

 

(b) Determine the estimated sales if 40 contacts are made.(Do not round intermediate calculations. Round final answers to 2 decimal places.)

 

[removed]

 

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