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9 April, 03:42

2. Persons with a low sense of humor have higher levels of depression in response to negative life events

than those with a high sense of humor. The low-humor group is modeled by D =

10

9

x +

53

9

and the

high-humor group is modeled by D =

1

9

x +

26

9

. The variable x represents the intensity of a negative life

event (from 1, low, to 10, high) and D is the average level of depression in response to that event. If the

high-humor group averages a level of depression of 2.5 in response to a negative life event, what is the

intensity of that event?

+4
Answers (1)
  1. 9 April, 04:45
    0
    The two models given are:

    Low sense of humor:

    D = [10/9]x + 53/9

    High sense of humor:

    D = [1/9]x + 26/9

    Now you are told to use the high-humor model to find the intensity (x) of an event that causes a depression (D) level of 2.5.

    Then you have to reverse the equation, this is to solve for x

    Step 1: subtract 26/9 from both sides = >

    D - 26/9 = [1/9]x

    Step 2: multiply both sides times 9 = >

    9[D - 26/9] = x

    => x = 9D - 26

    Now you use D value to find x value:

    D = 2.5 = > X = 9 (2.5) - 26 = 22.5 - 26 = - 3.5

    You got a negative value of D.

    This is an unfortunate model and should not have been chosen, because the model is for D between 1 and 10, then the negative result is contradictory.

    But the important thing is that you understand the idea that a the equations are used to represent models and you can work them algebraically.
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