an Someone te correot answer ih dletail ? C me whis the Researchers avei Me mean
ID: 3054204 • Letter: A
Question
an Someone te correot answer ih dletail ? C me whis the Researchers avei Me mean ditures is associated wth in ome t medical expenditures usina inome and age. Th niome and teis stahstically signiha hut the main erathion bchween the model The inttrachon effet (Loethient) signihcant age is not stahshcall a the n a expendures vanes by income, but the assouahon behucen inlome and medical expenditures dues not vay by age b. The assoaahen beh ten age and meaical expendihs s CThe ass0ciahon behurcen age and medical ependitres d.The associahon beween age an aoes not vay by ncome (ontrollina-for-incon not sta hst callts)gnit can t~ is income is is not stahsh tallg siantcentExplanation / Answer
The multiple regression model is,
Medical expenditure = b0 + b1 * Income + b2 * age + b3 * (Income*Age)
Given, the interaction between Income and Age is statistically significant. This, the estimated coefficient b3 is statistically significant.
And, the main effect of age is not statistically significant. This, the estimated coefficient b2 is not statistically significant.
When income is 0,
Medical expenditure = b0 + b1 * 0 + b2 * age + b3 * (0*Age)
=> Medical expenditure = b0 + b2 * age
As, the estimated coefficient b2 is not statistically significant, the association between age and medical expenditure is not statistically significant.
So, (d) is correct answer.
The association between income and medical expenditure is explained by the terms b1 * Income + b3 * (Income*Age)
As, the estimated coefficient b3 is statistically significant, the association between income and medical expenditure vary by age. So, (a) is not correct answer.
The association between age and medical expenditure is explained by the terms b2 * age + b3 * (Income*Age)
As, the estimated coefficient b3 is statistically significant, the association between age and medical expenditure vary by Income. So, (b) is not correct answer.
The association between age and medical expenditure is explained by the terms b2 * age + b3 * (Income*Age)
As, the estimated coefficient b3 is statistically significant, the association between age and medical expenditure for a given fixed Income is statistically significant. So, (c) is not correct answer.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.