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(Steps Shown) In a study of the relationship between amphetamine metabolism and amphetamine psychosis, twenty chronic amphetamine users were tested and given

Question: In a study of the relationship between amphetamine metabolism and amphetamine psychosis, twenty chronic amphetamine users were tested and given a psychosis intensity rating. Plasma amphetamine levels (mg/ml) were also determined for these patients. The data for this problem is in the table below.

The Psychosis Intensity Rating and Plasma Amphetamine levels for 20 chronic amphetamine users in a psychiatric ward of a metropolitan hospital. .

Patient # Psychosis Intensity
Rating ( PIR ) 		Plasma Amphetamine
(mg/ml)
1 15 178
2 28 243
3 31 387
4 22 206
5 35 356
6 14 142
7 19 215
8 25 454
9 48 653
10 37 592
11 52 728
12 47 625
13 32 446
14 28 351
15 57 629
16 40 578
17 38 341
18 14 174
19 41 547
20 25 232
  1. Provide a graphical summarization of the possible association between PIR and Plasma Amphetamine Level.
  2. Determine the Pearson correlation coefficient. Does the data provide sufficient evidence to conclude a linear relationship between PIR and Plasma Amphetamine? (Use = 0.05 and interpret or describe your results.
  3. Determine the least-squares regression line relating Plasma Amphetamine levels (X) to Psychosis Intensity Rating (Y). What are the resulting estimated values of the coefficients and  for this problem. How would you interpret these regression estimates?
  4. Using your regression results, what would be the predicted or estimated PIR (Y) for a corresponding Plasma Amphetamine level = 335 (X)? Construct a 95% confidence interval for the predicted true mean value of PIR.

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