Author Question: A public health researcher wants to use regression to predict the sun safety knowledge of pre-school ... (Read 119 times)

Frost2351 · **on:** Feb 14, 2020

A public health researcher wants to use regression to predict the sun safety knowledge of pre-school children. The researcher randomly sampled 35 preschoolers, 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

The following two models were hypothesized:

Model 1: E(y) = β₀ + β₁x₁ + β₂x₁² + β₃x₂ + β₄x₁ x₂ + β₅x₁²x₂
Model 2: E(y) = β₀ + β₁x₁ + β₃x₂ + β₄x₁x₂

A partial f-test was conducted to compare the two models and the resulting p-value was found to be 0.0023. Fill in the blank. The results lead us to conclude that there is (at

).
◦ sufficient evidence of interaction between sun-safety score and reading score.
◦ sufficient evidence of a statistically useful model for sun-safety score.
◦ sufficient evidence of a quadratic relationship between sun-safety score to reading score.
◦ insufficient evidence of quadratic relationship between sun-safety score to reading score.

mtmmmmmk · **Reply #1 on:** Feb 14, 2020

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