Question

For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers. x 3 4 1 2 y 3 5 0 -1 a. Use the definition r = (1/(n-1) * ?(xi - x?)(yi - ?)) / (sx sy) Find the sum required to calculate r using the definition. ?(xi - x?)(yi - ?) = [ ] (Type an integer or a decimal. Do not round.) Using the definition, r = [ ]. (Round to three decimal places as needed.) b. Use the computing formula r = (?xiyi - (?xi)(?yi) / n) / sqrt([?xi^2 - (?xi)^2 / n] [?yi^2 - (?yi)^2 / n]) Find the sums required to calculate r using the computing formula. ?xi = [ ] ?yi = [ ] ?xiyi = [ ] ?xi^2 = [ ] ?yi^2 = [ ] (Type integers or decimals. Do not round.)

          For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers.

x 3 4 1 2
y 3 5 0 -1

a. Use the definition r = (1/(n-1) * ?(xi - x?)(yi - ?)) / (sx sy)

Find the sum required to calculate r using the definition.
?(xi - x?)(yi - ?) = [ ] (Type an integer or a decimal. Do not round.)

Using the definition, r = [ ].
(Round to three decimal places as needed.)

b. Use the computing formula r = (?xiyi - (?xi)(?yi) / n) / sqrt([?xi^2 - (?xi)^2 / n] [?yi^2 - (?yi)^2 / n])

Find the sums required to calculate r using the computing formula.
?xi = [ ]
?yi = [ ]
?xiyi = [ ]
?xi^2 = [ ]
?yi^2 = [ ]
(Type integers or decimals. Do not round.)

For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers.

x 3 4 1 2
y 3 5 0 -1

a. Use the definition r = (1/(n-1) * ?(xi - x?)(yi - ?)) / (sx sy)

Find the sum required to calculate r using the definition.
?(xi - x?)(yi - ?) = [ ] (Type an integer or a decimal. Do not round.)

Using the definition, r = [ ].
(Round to three decimal places as needed.)

b. Use the computing formula r = (?xiyi - (?xi)(?yi) / n) / sqrt([?xi^2 - (?xi)^2 / n] [?yi^2 - (?yi)^2 / n])

Find the sums required to calculate r using the computing formula.
?xi = [ ]
?yi = [ ]
?xiyi = [ ]
?xi^2 = [ ]
?yi^2 = [ ]
(Type integers or decimals. Do not round.)

Added by Amparo M.

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