4. Based on all of the output for the weight loss data, which of the following a

Question

4. Based on all of the output for the weight loss data, which of the following are accurate statements? (Check any as appropriate.)

a. Beginning weight is a stronger predictor than the number of sessions attended.

b. Heavier clients need to attend more sessions than lighter clients, since they are in greater need of weight loss.

c. We need more than 40 observations to draw any meaningful conclusions.

d. Clients should be advised not to attend more than 6 sessions.

e. Holding beginning weight constant, each session attended results in more than an additional 3 pound lost on average.

f. This model should have been run without an intercept, since no one attended zero sessions and entered with a beginning weight of zero pounds.

Here is the data:

Client Loss Sessions Weight 1 7 5 185 2 17 7 215 3 -2 3 148 4 8 5 166 5 29 6 197 6 -6 4 153 7 4 5 182 8 15 8 184 9 11 3 155 10 22 6 207 11 -7 2 238 12 12 5 214 13 8 4 195 14 -3 5 179 15 6 3 194 16 13 7 187 17 11 5 227 18 6 5 202 19 7 3 198 20 -4 4 217 21 0 4 183 22 5 5 196 23 8 7 210 24 18 8 247 25 12 5 223 26 4 5 216 27 33 6 242 28 -9 3 169 29 7 5 205 30 14 6 207 31 6 4 176 32 10 5 194 33 5 6 189 34 12 3 213 35 -4 2 228 36 7 5 199 37 9 4 196 38 6 3 187 39 3 5 172 40 1 3 165

Explanation / Answer

Looking at the output, below two conclusions hold correct: -

b. Heavier clients need to attend more sessions than lighter clients, since they are in greater need of weight loss.

e. Holding beginning weight constant, each session attended results in more than an additional 3 pound lost on average.

SUMMARY OUTPUT Regression Statistics Multiple R 0.656 R Square 0.431 Adjusted R Square 0.400 Standard Error 6.843 Observations 40 ANOVA df SS MS F Significance F Regression 2 1309.626 654.813 13.986 0.000 Residual 37 1732.349 46.820 Total 39 3041.975 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -25.549 9.193 -2.779 0.009 -44.176 -6.922 Sessions 3.247 0.753 4.313 0.000 1.722 4.773 Weight 0.090 0.047 1.900 0.065 -0.006 0.186

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