Doctors are interested in the relationship between the dosage of a medicine and the ime required for a patient's recovery. Table 2 shows, for a sample of 10 patients, dosage levels (in grams) and recovery times (in hours). These patients have similar characteristics except for medicine dosages. Table 2: Dosage Level and Recovery Time Patient Dosage Level Recovery Time 1.2 25 2 1.3 28 1.0 40 4 1.4 38 5 1.5 10 6. 1.8 9 7 1.2 27 8 1.3 30 9. 1.4 16 10 1.3 18 a. Estimate the linear regression of recovery time on dosage level. b. Compute R2 and interpret it. c. Perform an F test of goodness of fit at the 5% significance level.

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Doctors are interested in the relationship between the dosage of a medicine
and the time required for a patient's recovery. Table 2 shows, for a sample of
10 patients, dosage levels (in grams) and recovery times (in hours). These
patients have similar characteristics except for medicine dosages.
Table 2: Dosage Level and Recovery Time
Patient
Dosage Level Recovery Time
1
1.2
25
2
1.3
28
3
1.0
40
4
1.4
38
1.5
10
6.
1.8
9.
7
1.2
27
8.
1.3
30
9.
1.4
16
10
1.3
18
a. Estimate the linear regression of recovery time on dosage level.
b. Compute R2 and interpret it.
c. Perform an F test of goodness of fit at the 5% significance level.
Transcribed Image Text:Doctors are interested in the relationship between the dosage of a medicine and the time required for a patient's recovery. Table 2 shows, for a sample of 10 patients, dosage levels (in grams) and recovery times (in hours). These patients have similar characteristics except for medicine dosages. Table 2: Dosage Level and Recovery Time Patient Dosage Level Recovery Time 1 1.2 25 2 1.3 28 3 1.0 40 4 1.4 38 1.5 10 6. 1.8 9. 7 1.2 27 8. 1.3 30 9. 1.4 16 10 1.3 18 a. Estimate the linear regression of recovery time on dosage level. b. Compute R2 and interpret it. c. Perform an F test of goodness of fit at the 5% significance level.
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