consider the table showing the given, predicted, and residual values for a data set.\nwhich point would be…

consider the table showing the given, predicted, and residual values for a data set.\nwhich point would be on the residual plot of the data?\n|x|given|predicted|residual|\n|----|----|----|----|\n|1|-1.6|-1.2|-0.4|\n|2|2.2|1.5|0.7|\n|3|4.5|4.7|-0.2|\n|4|6.1|6.7|-0.6|\n(1, -1.6)\n(2, 1.5)\n(3, 4.5)\n(4, -0.6)

consider the table showing the given, predicted, and residual values for a data set.\nwhich point would be on the residual plot of the data?\n|x|given|predicted|residual|\n|----|----|----|----|\n|1|-1.6|-1.2|-0.4|\n|2|2.2|1.5|0.7|\n|3|4.5|4.7|-0.2|\n|4|6.1|6.7|-0.6|\n(1, -1.6)\n(2, 1.5)\n(3, 4.5)\n(4, -0.6)

Answer

Explanation:

Step1: Recall residual - plot concept

A point on a residual plot has coordinates ((x, \text{residual})) where (x) is the independent - variable value and the (y) - value is the residual value corresponding to that (x) value.

Step2: Check each option

For (x = 1), the residual is (-0.4), so ((1,-1.6)) is not correct. For (x = 2), the residual is (0.7), so ((2,1.5)) is not correct. For (x = 3), the residual is (-0.2), so ((3,4.5)) is not correct. For (x = 4), the residual is (-0.6), so the point ((4,-0.6)) is on the residual plot.

Answer:

((4,-0.6))