A public health researcher wants to use regression to predict the sun safety kno
ID: 3294775 • Letter: A
Question
A public health researcher wants to use regression to predict the sun safety knowledge of pre-school children. The researcher randomly sampled 35 pre-schoolers, assigned them to one of two groups, and then measured the following three variables:
SUNSCORE: y = Score on sun-safety comprehension test
READING: x1= Reading comprehension score
GROUP: x2= 1 if child received a Be Sun Safe demonstration, 0 if not
Use the following information to answer the multiple regression questions.
Printout A: Pairwise Correlations
SUNSCORE READING
READING 0.6589
GROUP 0.5058 0.0885
Printout B: BEST SUBSET REGRESSION MODELS FOR SUNSCORE
FORCED INDEPENDENT VARIABLES: (A)READING (B)GROUP (C)READGRP
UNFORCED INDEPENDENT VARIABLES: (D)READSQ (E)READSQGRP
ADJUSTED
P CP R SQUARE R SQUARE RESID SS F P(F) MODEL VARIABLES
6 6.0 0.7636 0.7974 51.8067 7.46 0.0023 A B C D E
Which of the following statements about multicollinearity is true from Printout A?
No multicollinearity exits since the model is statistically useful for predicting sun-safety score (y).Explanation / Answer
Multicollinearity problem is checked within the independent variables. Here the independent variables are READING and GROUP. Clearly from the table we get the correlation between the 2 variables as: 0.0885 which is a low value.
Therefore The data exhibit very little multicollinearity since there is a low correlation between reading score (x1) and group (x2).Therefore b) is the correct option here.
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