A public health researcher wants to use regression to predict the sun safety kno

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 C:  UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF SUNSCORE

PREDICTOR

VARIABLES    COEFFICIENT    STD ERROR     STUDENT'S T P     

CONSTANT 4.23186 0.82079 5.16       0.0000

READING 0.00631 0.00194 3.25 0.0027   

READSQ .00000425 .00000087 4.87 0.0000   

GROUP 2.04026 0.45579 4.48 0.0001    

RSQUARED           0.7757      RESID. MEAN SQUARE (MSE)    1.79234

ADJUSTED RSQUARED 0.7546      STANDARD DEVIATION          1.33878

SOURCE        DF SS MS F P

REGRESSION     3     198.310      66.1033    36.88   0.0000

RESIDUAL 32     57.3548      1.79234

TOTAL 35     255.665

Suppose it was desired to estimate the SUNSCORE for a single pre-schooler who has a reading comprehension score of 300 and who received a Be Sun Safe demonstration. How should the researcher proceed?

Explanation / Answer

Since we need to find the value of y for the given values of independent variables, we need to find prediction interval.

Option C is correct.

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