Plot scatter diagram treating explanatory-response variable


1) Consider the data set given in the accompanying table. Complete parts (a through g)

X          -2          -1          0          1          2

Y          -2           0          2          3          5

a) Draw a scatter diagram treating x as the explanatory variable and y as the response variable.

b) Find the equation of the line containing the points (-2,-2) and (2,5). The equation of the line is y = (.......)x + (......).

c) Determine the least-squares regression line. Choose the correct answer.

A-the least-squares regression line is y = 1.5x + 1.75.

B-the least-squares regression line is y =1.7x + 1.75.

C-the least-squares regression line is y =1.7x + 1.6.

D-the least-squares regression line is y =1.6x + 1.7.

d) Graph the least-squares regression line on the scatter diagram.

e) Compute the sum of the squared residuals for the line found in part (b). The sum of the squared residuals for the line founds in the part (b) is (.....)

f) Compute the sum of the squared residuals for the least-squares regression line found in part (d). The sum of the squared residuals for least squares regression line is (......).

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Mathematics: Plot scatter diagram treating explanatory-response variable
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