2. Based on the simple regression using the number of sessions attended, which o
ID: 3056641 • Letter: 2
Question
2. Based on the simple regression using the number of sessions attended, which of the following apply? (Check any as appropriate.)
a. Sessions is a significant linear predictor.
b. The percentage of variation in weight loss explained using sessions in the regression is 61.23%.
c. Attending more sessios causes higher weight loss.
d. The regression equation is = -9.49 + 3.6x.
e. For a client who attends 10 sessions, the expected (mean) weight gain is more than 20 lbs.
f. It would be more appropriate to exclude clients who gained weight from the study.
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 165Explanation / Answer
Solution:
2. Based on the simple regression using the number of sessions attended, which of the following apply? (Check any as appropriate.)
a. Sessions is a significant linear predictor.
Answer:
Above statement is applicable, because p-value for given regression model is given as 0.0000268.
b. The percentage of variation in weight loss explained using sessions in the regression is 61.23%.
Answer:
The above statement is not applicable, because percentage of variation in weight loss explained using sessions in the regression is 37.50%.
c. Attending more sessios causes higher weight loss.
Answer:
The above statement is applicable, because given regression model have positive slope and it indicates a positive linear relationship.
d. The regression equation is = -9.49 + 3.6x.
Answer:
The above statement is applicable, because y-intercept is given as -9.488491049 and slope is given as 3.600738846.
e. For a client who attends 10 sessions, the expected (mean) weight gain is more than 20 lbs.
Answer:
The above statement is applicable, because...
= -9.49 + 3.6x
= -9.49 + 3.6*10
= 26.51 > 20
f. It would be more appropriate to exclude clients who gained weight from the study.
Answer:
The above statement is not applicable, because it will decrease the reliability and prediction power of given regression model.
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