numbers indicate greater depression symptoms. Figure below sh or each of the 75 participants at the start of the diet/depression e 30 Self-reported ng one depression scale to predict another 10 20 40 50 60 estimate each of the following quantities: the self-reported scor

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Predicting One Depression Score from Another Example 1.28 and Exercise 2.209 introduce a study examining the impact of diet on
depression. The study used two different ways to measure depression: the DASS, which uses self-reported symptoms, and the CESD, a
more clinical assessment. On both scales, higher numbers indicate greater depression symptoms. Figure below shows the regression
line on the scatterplot of the depression scores for each of the 75 participants at the start of the diet/depression experiment (before
the effect of any dietary intervention.)
Clinical
70
60
50
40
30
20
10
0
30
Self-reported
Using one depression scale to predict another
0
10
20
40
50
●
60
(a) For the case with the largest negative residual, estimate each of the following quantities: the self-reported score, the clinical score,
the predicted clinical score, and the residual.
Self-reported score = i
Clinical score = i
Predicted clinical score = i
Residual = i
(b) There appear to be three different cases that might have the largest positive residual. For the one with a self-reported score of 0,
estimate: the clinical score, the predicted clinical score, and the residual.
Clinical score = i
Predicted clinical score = i
Residual = i
Transcribed Image Text:Predicting One Depression Score from Another Example 1.28 and Exercise 2.209 introduce a study examining the impact of diet on depression. The study used two different ways to measure depression: the DASS, which uses self-reported symptoms, and the CESD, a more clinical assessment. On both scales, higher numbers indicate greater depression symptoms. Figure below shows the regression line on the scatterplot of the depression scores for each of the 75 participants at the start of the diet/depression experiment (before the effect of any dietary intervention.) Clinical 70 60 50 40 30 20 10 0 30 Self-reported Using one depression scale to predict another 0 10 20 40 50 ● 60 (a) For the case with the largest negative residual, estimate each of the following quantities: the self-reported score, the clinical score, the predicted clinical score, and the residual. Self-reported score = i Clinical score = i Predicted clinical score = i Residual = i (b) There appear to be three different cases that might have the largest positive residual. For the one with a self-reported score of 0, estimate: the clinical score, the predicted clinical score, and the residual. Clinical score = i Predicted clinical score = i Residual = i
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