A survey was conducted in 295 people asking about arthritic pain. Subjects were asked to rate their pain on the 10-point (10 cm) visual analogue scale (VAS) below by putting an X anywhere on the scale, including between the numerical reference marks. As the scale was 10 cm in length, the investigators then converted the exact mark to a millimeter (mm) score (e.g., 63 mm for a score put at 6.3 cm). These scores were used as interval/ratio scores. Subject sex was coded 1=male and 0=female. Medication was coded 1=on medication and 0=not on medication.
The table summarizes the key statistical results.
slope |
95% confidence interval |
p for slope |
||
Sex (1=male) |
-5.285991 |
-11.76952 |
1.198001 |
0.109 |
Medication (1=yes) |
-9.489177 |
-15.87688 |
-3.101475 |
0.004 |
Intercept |
94.18235 |
|||
R2 |
0.0554 |
|||
Adjusted R2 |
0.0489 |
The investigators decide to use the following multiple linear regression model, adopting the point estimates of the data in the table above:
VAS pain score = intercept + (slope x sex) + (slope x medication)
QUESTION: Based on your calculations and rounding to one digit post-decimal:
Correct option:
d. 94.2
Explanation:
VAS pain score = intercept + (slope x sex) + (slope x medication)
Since Subject is female, Sex = 0. Since not on medication:, Medication = 0.
Substituting, we get:
VAS pain score = intercept + (slope x sex) + (slope x medication)
= 94.18235 + (slope x 0) + (slope x 0)
= 94.2
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