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A Public Health Researcher Wants to Use Regression to Predict y=\quad \mathrm { y } =

question 95

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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=\quad \mathrm { y } = Score on sun-safety comprehension test
READING: x1=\quad \mathrm { x } _ { 1 } = Reading comprehension score
GROUP: x2=1\quad\quad x _ { 2 } = 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+β4x1x2+β5x12x2E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 1 } ^ { 2 } + \beta _ { 3 } x _ { 2 } + \beta _ { 4 } x _ { 1 } x _ { 2 } + \beta _ { 5 } x _ { 1 } ^ { 2 } x _ { 2 }
Model 2: E(y) =β0+β1x1+β3x2+β4x1x2E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 3 } x _ { 2 } + \beta _ { 4 } x _ { 1 } x _ { 2 }

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 α=0.05) \text { (at } \alpha = 0.05 )

Comprehend the process and stages of discrimination learning.
Analyze the role of excitatory and inhibitory processes in discrimination learning and generalization gradients.
Understand the concept and role of discriminative stimuli in behavior.
Comprehend different psychological theories and models related to attention and discrimination learning.

Definitions:

Collect Like Terms

A mathematical process to simplify algebraic expressions by combining constants and variables that are the same.

Operation Indicated

A term referring to the specific process or calculation suggested by the context, often mathematical or procedural.

Collect Like Terms

A mathematical strategy used in algebra to simplify an expression by combining terms that have the same variables and exponents.

Operation Indicated

The process or action that a specific operation or sign suggests should be performed in mathematical expressions or equations.

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