In: Statistics and Probability
Research on the relationship between the participants’ depression score and weight. The researcher believes that a person’s weight may affect their level of depression. Create a simple linear regression model (including the y-intercept), where depression score is the dependent variable and weight is the independent variable. Use your simple linear regression model to answer the following questions with α = 0.05.
yes or no
Explain your reasoning.
Weight | Age | Average Sleep Duration | Depression Score |
210.5 | 25 | 5.4 | 18 |
196.1 | 36 | 6.3 | 8 |
233.4 | 33 | 7.9 | 15 |
210.9 | 41 | 8.1 | 10 |
221.7 | 29 | 6.8 | 14 |
199.1 | 27 | 7.5 | 9 |
245.6 | 37 | 7.6 | 21 |
267.2 | 31 | 6.9 | 25 |
181.9 | 29 | 6.9 | 6 |
294.6 | 40 | 8.4 | 32 |
256.3 | 36 | 8.1 | 28 |
211.7 | 22 | 8.6 | 12 |
202.4 | 46 | 7.8 | 7 |
194.4 | 32 | 7.2 | 6 |
211.3 | 41 | 8.2 | 11 |
186.5 | 26 | 5.8 | 3 |
195.9 | 28 | 6.9 | 8 |
201.2 | 37 | 7.1 | 10 |
267.8 | 30 | 7.5 | 27 |
288.4 | 27 | 6.8 | 31 |
234.2 | 39 | 7.5 | 20 |
290.1 | 45 | 8.3 | 33 |
195.2 | 23 | 5.4 | 7 |
182.3 | 26 | 7.3 | 4 |
210.6 | 35 | 8.1 | 11 |