For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). x3|6|1|0 |0 y 6 7 0 0- 4 a. Use the definition r= Exw-(Ex)(E»)/n E - (Ex)*rn] [Ev? - (E»)* /n] b. Use the computing formular= a. Using the definition, r= (Round to three decimal places as needed.) b. Using the computing formula, r= (Round to three decimal places as needed.) The value in part (a) is V the value in part (b).

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For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b).
x | 3 |6|1|0 |0
y 6 700- 4
a. Use the definition r=
Exy - (Ex) (E») n
E - (Ex)°/n] [Ev - (E»)*/n]
b. Use the computing formula r=
a. Using the definition, r=
(Round to three decimal places as needed.)
b. Using the computing formula, r=
(Round to three decimal places as needed.)
The value in part (a) is
V the value in part (b).
Transcribed Image Text:For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). x | 3 |6|1|0 |0 y 6 700- 4 a. Use the definition r= Exy - (Ex) (E») n E - (Ex)°/n] [Ev - (E»)*/n] b. Use the computing formula r= a. Using the definition, r= (Round to three decimal places as needed.) b. Using the computing formula, r= (Round to three decimal places as needed.) The value in part (a) is V the value in part (b).
Expert Solution
Step 1

Use the given data to form excel table:

  X Y X*Y X*X Y*Y x-x¯ y-y¯ x-x¯*y-y¯
  3 6 18 9 36 1 4.2 4.2
  6 7 42 36 49 4 5.2 20.8
  1 0 0 1 0 -1 -1.8 1.8
  0 0 0 0 0 -2 -1.8 3.6
  0 -4 0 0 16 -2 -5.8 11.6
Sum 10 9 60 46 101 0 0 42
Average 2 1.8            
S.D 2.549509757 4.604345773            
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