In a least-squares regression model, the residuals are assumed to be random. Suppose the residuals for a given data set are, in order, 0.0923 0.0437 0.2951 -0.3535 -0.1021 -0.4507 0.3007 0.0521 0.2035 -0.2451 0.3063 - 0.1423 o. (a) Denote residuals above O with an A and those below O with a B to form a sequence. (b) Test the assumption that the residuals are random at the a=0.05 level of significance. (0) The sequence is (b) Choose the correct answer below. OA There is sufficient evidence to conclude that the residuals are random since the test statistic is not between the critical values. OB. There is not suficient evidence to conclude that the residuals are random since the test statistic is greater than the upper critical value. O. There is not suffcient evidence to conclude that the residuals are random since the test statistic is less than the lower critical value. OD. There is sufficient evidence to conclude that the residuals are random since the test statistic is between the critical values.

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In a least-squares regression model, the residuals are assumed to be random. Suppose the residuals for a given data set are, in
order, 0.0923 0.0437 0.2951 - 0.3535 -0.1021 -0.4507 0.3007 0.0521 0.2035 - 0.2451 0.3063 - 0.1423..
(a) Denote residuals above 0 with an A and those below 0 with a B to form a sequence.
(b) Test the assumption that the residuals are random at the a = 0.05 level of significance.
(a) The sequence is .
(b) Choose the correct answer below.
O A. There is sufficient evidence to conclude that the residuals are random since the test statistic is not between the critical
values.
B. There is not sufficient evidence to conclude that the residuals are random since the test statistic is
greater than the upper critical value.
OC. There is not suffient evidence to conclude that the residuals are random since the test statistic is
less than the lower critical value.
D. There is sufficient evidence to conclude that the residuals are random since the test statistic is between the critical values.
Transcribed Image Text:In a least-squares regression model, the residuals are assumed to be random. Suppose the residuals for a given data set are, in order, 0.0923 0.0437 0.2951 - 0.3535 -0.1021 -0.4507 0.3007 0.0521 0.2035 - 0.2451 0.3063 - 0.1423.. (a) Denote residuals above 0 with an A and those below 0 with a B to form a sequence. (b) Test the assumption that the residuals are random at the a = 0.05 level of significance. (a) The sequence is . (b) Choose the correct answer below. O A. There is sufficient evidence to conclude that the residuals are random since the test statistic is not between the critical values. B. There is not sufficient evidence to conclude that the residuals are random since the test statistic is greater than the upper critical value. OC. There is not suffient evidence to conclude that the residuals are random since the test statistic is less than the lower critical value. D. There is sufficient evidence to conclude that the residuals are random since the test statistic is between the critical values.
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