Question

In: Statistics and Probability

Research on the relationship between the participants’ depression score and weight. The researcher believes that a...

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.

  • Predict the depression score for a person that weighs 185 lbs.
  • Estimate the average depression score for people that weigh 220 lbs.
  • What is the correlation coefficient?
  • Does the y-intercept need to be included in the model? Circle/highlight your answer.

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

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