# MATHEMATICS

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

 =  [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

 (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] 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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