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 1.

value:

10.00 points

 

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  

 

 

Click 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

( ) 2

( )2

( )( )

14  

24   

 ? 

 ? 

376.36  

1376.41  

719.74  

12  

14  

−21.4  

−47.1  

 ? 

 ? 

 ? 

20  

28   

−13.4  

?  

179.56  

 ? 

443.54  

16  

30  

 ? 

−31.1  

  ?

967.21  

 ? 

46  

80   

12.6  

?  

 ? 

357.21  

?  

23  

30   

−10.4  

?  

 ? 

967.21  

 ? 

48  

90  

?  

28.9  

213.16  

 ? 

421.94  

50  

85  

?  

23.9  

275.56  

?  

396.74  

55  

120   

?  

 ? 

466.56  

3469.21  

1,272.24  

50  

110.0  

16.6  

48.9  

 ? 

 ? 

?  

334   

611   

  

  

?  

  ? 

  

`

 

  

=

33.4 

 

  

=

61.1 

 

  sx

=

?

 

sy

=

?     

 

r

= ?

    

 

   b =  ?

 

   a  = ?

  Y' =  +  X = ?

 

b.

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

 

 Answer ???