A two-variable model involving one quantitative explanatory variable and one categorical (binary) explanatory variable (and no interaction),...

60.1K

Verified Solution

Question

Basic Math

A two-variable model involving one quantitative explanatoryvariable and one categorical (binary) explanatory variable (and nointeraction), results in two regression lines that are:

A.     Always parallel.

B.     Could be parallel but, dependingon the data, may not.

C.      Never parallel.

D.     Always horizontal.

The two methods of including a binary categorical variable in aregression model are to use indicator coding or effect coding. Forindicator coding in the two-variable model (withno interaction):

A.     The binary variable is coded(-1,1) and the coefficient for the binary variable in thecorresponding regression equation is the difference between the twogroup means.

B.     The binary variable is coded(-1,1) and the coefficient for the binary variable in thecorresponding regression equation is the difference between one ofthe group means and the least-squares mean (the overall mean).

C.      The binary variable iscoded (0,1) and the coefficient coefficient for the binary variablein the corresponding regression equation is the difference betweenthe two group means.

D.     The binary variable is coded(0,1) and the coefficient for the binary variable in thecorresponding regression equation is the difference between one ofthe group means and the least-squares mean (the overall mean).

Answer & Explanation Solved by verified expert
3.9 Ratings (389 Votes)
1 A twovariable model involving one quantitative explanatory variable and one categorical binary explanatory variable and no interaction results in two regression lines that are Aalways parallel because the    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students