Mr. James McWhinney, president of Daniel-James Financial Services,

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  

[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] 

=

[removed]

=

[removed]

  s_x

=

[removed]

s_y

=

[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]