A mental health agency measured the self-esteem score for randomly selected indi

Question

A mental health agency measured the self-esteem score for randomly selected individuals
with disabilities who were involved in some work activity within the past year. The Excel file
self-esteem provides the data, including the individuals’ marital status, length of work, type of
support received (direct support includes job-related services such as job coaching and
counseling), education, and age.
a. Use multiple linear regression for predicting self-esteem as a function of length of work,
support level, education, and age.
b. Investigate possible interaction effects between support level and the other numerical
variables by building an appropriate model. Determine the best model.
c. Find the best regression model for predicting self-esteem as a function of length of work,
marital status, education, and age. (Note that the categorical variable marital status has more than
two levels.)

Marital Status Length of Work (months) Support Level Education (years) Age Self Esteem Single 4 None 9 52 2 Single 4 None 9 52 2 Single 14 Direct 11 40 3 Single 10 Direct 9 46 3 Single 12 None 12 40 3 Single 6 None 10 47 3 Single 4 None 10 50 3 Single 5 None 10 44 3 Married 9 Direct 9 46 3 Married 4 None 9 47 3 Married 4 None 10 51 3 Separated 11 Direct 9 47 3 Separated 10 Direct 9 51 3 Separated 12 Direct 10 42 3 Separated 9 Direct 9 48 3 Separated 3 None 9 46 3 Separated 14 None 12 37 3 Separated 13 None 12 35 3 Separated 3 None 9 43 3 Separated 4 None 10 45 3 Divorced 10 Direct 10 50 3 Divorced 8 None 9 46 3 Divorced 2 None 11 49 3 Divorced 7 None 12 48 3 Divorced 8 None 10 45 3 Divorced 9 None 9 47 3 Divorced 6 None 9 46 3 Divorced 4 None 9 47 3 Divorced 3 None 10 45 3 Divorced 2 None 10 47 3 Single 12 Direct 13 28 4 Single 37 Direct 12 42 4 Single 23 Direct 10 40 4 Single 23 Direct 12 38 4 Single 10 Direct 9 45 4 Single 10 Direct 10 47 4 Single 9 Direct 9 47 4 Married 23 None 12 39 4 Separated 12 Direct 10 43 4 Separated 21 None 11 39 4 Separated 10 None 12 33 4 Separated 11 None 12 35 4 Divorced 14 None 12 45 4 Divorced 12 None 13 41 4 Divorced 5 None 9 43 4 Single 51 Direct 12 28 5 Single 40 Direct 14 32 5 Single 29 Direct 14 38 5 Single 29 Direct 14 36 5 Single 29 Direct 14 39 5 Single 21 Direct 13 39 5 Married 7 Direct 9 48 5 Married 24 Direct 12 29 5 Married 32 Direct 13 26 5 Separated 37 Direct 14 30 5 Divorced 31 Direct 13 26 5 Single 58 Direct 12 27 6 Single 17 None 12 38 6 Married 61 Direct 16 28 6 Separated 64 Direct 14 38 6

Explanation / Answer

a)We do this whole project in Minitab

For Support Level we take Direct as =0 and None=1

Using path

Stat-Regression -Regression and then taking self-esteem as a function of length of work,

support level, education, and age we get the following multiple linear regression equation,

The regression equation is
Self Esteem = 3.19 + 0.0286 Length of Work (months) + 0.289 Support Level 1
+ 0.111 Education (years) - 0.0298 Age.

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