The chart represents a data set’s given values, predicted values (using a line of best fit for the data), and residual values. Which are the missing residual values? g = 2 and h = –1 g = 28 and h = 39 g = –2 and h = 1 g = –28 and h = –39

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Question:

The chart represents a data set’s given values, predicted values (using a line of best fit for the data), and residual values. Which are the missing residual values? g = 2 and h = –1 g = 28 and h = 39 g = –2 and h = 1 g = –28 and h = –39

Answer:

The residual value is the difference between the observed/given value of the dependent variable (y) and the predicted value (ŷ).
i.e. residual value = given value – predicted value

From the given table, g is the residual value where the given value is 13 and the predicted value is 15.
Thus, g = 13 – 15 = -2

h is the residual value where the given value is 20 and the predicted value is 19.
Thus, h = 20 – 19 = 1

Therefore, g = –2 and h = 1

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