2. a) Dataset B( presents emploees’ perception of productivity (Y) (Productivity) (5 6 1 7 3 4 5)and the
perceptions of having adequate authority to do one’s job (X) (Jobauthr) (7 3 5 5 7 3 2).
(i) Draw a scatter diagram and explain your understanding of the correlation between the variables
(ii) Find regression equation and explain the parameters
(iii) Calculate coefficient of determinant and interpret the value
(iv) Find residual for the 3rd observation
(v) Draw the regression line
b) Who is correct, Researcher 1, Researcher 2, or Both researchers? Logically analyze your comment.
Researcher 1: If the correlation coefficient is positive, the two variables are directly related; if the
correlation coefficient is negative, the two variables are not related.
Researcher 2: If two variables have a very strong linear relation, then the scatter diagram will be
concentrated to a line
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