Question

For the data and sample regression equation shown​ below, complete parts​ (a) through​ (c).

x	0	3	5	5	5		ModifyingAbove y with caret equals 4.500 minus 0.917 xy=4.500−0.917x
y	4	3	0	−2	1

a. Determine the standard error of the estimate.

b. Construct a residual plot.

c. Construct a normal probability plot of the residuals.

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Answer 1

x	y	Fitted value (y^)=4.500-0.917x	Residual (e )=y-y^	e^2
0	4	4.5	-0.5	0.25
3	3	1.749	1.251	1.565001
5	0	-0.085	0.085	0.007225
5	-2	-0.085	-1.915	3.667225
5	1	-0.085	1.085	1.177225
Total				6.666676

b) The residuals plot is

The number of the observation is small but the scatter plot of residuals VS order of observation does not show any pattern. Hence, the asssumption of random on residulas is satisfied.

c)

The dots of the sample quantiles and theoritical quantile form near to a straight line. Hence, the assumption of normality on the rwesiduals is satisfied.