Consider the following regression based on hypothetical data. We hypothesize tha
ID: 3224482 • Letter: C
Question
Consider the following regression based on hypothetical data. We hypothesize that age, height, and income affect people’s weight. So we run a regression analysis of data from a random sample of 25 people, with weight (in pounds) as the dependent variable and age (x variable 1, in years), height (x variable 2, in inches), and income (x variable 3, in $1,000) as the independent variables. Here is part of the regression output from Excel:
a. Based on these regression results (holding height and income constant) using a=5%, is every year of age associated with weight? (If so, more or less weight?)
b. Based on these regression results (holding age and income constant) using a=5%, is every inch of height associated with weight? (If so, more or less weight?)
Coefficients Standard Error t Stat P-value Intercept -52.517933 51.96292822 -1.01068 0.323673 X Variable 1 1.02565561 0.471929364 2.173324 0.041343 X Variable 2 2.6110426 0.878492569 2.972185 0.007269 X Variable 3 -0.9722392 1.371767312 -0.70875 0.486274Explanation / Answer
A) Depend on the results at alpha = 0.05 level every year of age is associated with weight, because of 'p' value is less than 0.05 ( p = 0.041343 < 0.05). (more)
B) Depend on the results at alpha = 0.05 level every inch of height associated with weight, because of 'p' value is less than 0.05 ( p = 0.007269< 0.05). (more)