Question

In: Statistics and Probability

In an obesity study, a researcher wishes to determine if age, average sleep duration, and depression...

In an obesity study, a researcher wishes to determine if age, average sleep duration, and depression score have any effect on a person’s weight. The researcher takes a random sample of 25 participants that have been diagnosed as obese and records their measurements. Using the data, create the regression output (not including the y-intercept) then answer the questions below. Note that all variables are quantitative. Let α = 0.05.

  • Write out the estimated regression line. To receive full credit, you must label all variables.
  • What is the adjusted coefficient of determination?
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

Solutions

Expert Solution

the regression equation is weight = - 43.44+0.2616(weight)

R2 adjusted=0.9486


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