Assume a respondent's interest of book could be explained by whether this person reads books for his/her leisure time, and whether this person is male or female. The regression becomes: Y = a + b 1 X 1 +b 2 X 2 Where Y: respondent's interest in books X 1=1 if the respondent reads books for his/her leisure time; X 1 =0 if he/she does not X 2=1 if the respondent is male; X 2 =0 if the respondent is female. Assume all the estimates from regression are significant, and the results are: Y = 3+2.8X 1 -1.7X 2 Given the above information, we could conclude: Comparing to men, women have stronger interests in books Comparing to women, men have stronger interests in books Comparing to a woman who claims she does not read for her leisure, a woman who reads for her leisure has an average interest rating 1.1 higher. For men who do not read for their leisure time, the average interest rating is 1.7.
Assume a respondent's interest of book could be explained by whether this person reads books for his/her leisure time, and whether this person is male or female. The regression becomes: Y = a + b 1 X 1 +b 2 X 2 Where Y: respondent's interest in books X 1=1 if the respondent reads books for his/her leisure time; X 1 =0 if he/she does not X 2=1 if the respondent is male; X 2 =0 if the respondent is female. Assume all the estimates from regression are significant, and the results are: Y = 3+2.8X 1 -1.7X 2 Given the above information, we could conclude: Comparing to men, women have stronger interests in books Comparing to women, men have stronger interests in books Comparing to a woman who claims she does not read for her leisure, a woman who reads for her leisure has an average interest rating 1.1 higher. For men who do not read for their leisure time, the average interest rating is 1.7.
Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
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Linear Correlation
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Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Question 2
Assume a respondent's interest of book could be explained by whether this person reads books for his/her leisure time, and whether this person is male or female. The regression becomes:
Y = a + b 1 X 1 +b 2 X 2
Where
Y: respondent's interest in books
X 1=1 if the respondent reads books for his/her leisure time; X 1 =0 if he/she does not
X 2=1 if the respondent is male; X 2 =0 if the respondent is female.
Assume all the estimates from regression are significant, and the results are:
Y = 3+2.8X 1 -1.7X 2
Given the above information, we could conclude:
Y = a + b 1 X 1 +b 2 X 2
Where
Y: respondent's interest in books
X 1=1 if the respondent reads books for his/her leisure time; X 1 =0 if he/she does not
X 2=1 if the respondent is male; X 2 =0 if the respondent is female.
Assume all the estimates from regression are significant, and the results are:
Y = 3+2.8X 1 -1.7X 2
Given the above information, we could conclude:
|
Comparing to men, women have stronger interests in books
|
||
|
Comparing to women, men have stronger interests in books
|
||
|
Comparing to a woman who claims she does not read for her leisure, a woman who reads for her leisure has an average interest rating 1.1 higher.
|
||
|
For men who do not read for their leisure time, the average interest rating is 1.7.
|
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