Given the equation:
[tex]y=0.4+0.2x[/tex]
Here x denotes explanatory variable which is thickness of soap and y denotes price of soap
For a unit increase in x i.e, x is replace by [tex]x+1[/tex] let y changes to y'
[tex]y=0.4+0.2(x+1)[/tex]
[tex]=0.4+0.2x+0.2[/tex]
[tex]y'=y+0.2[/tex]
[tex]y'-y=0.2[/tex]
Hence the interpretation of slope is the price of the soap increases by [tex]0.20[/tex] on average, when the thickness increases by [tex]1 cm[/tex]
Resulting image from the explanatory variable
An explanatory variable is one that cannot be determined to be independently variable. Say you had soda and fast food as your two explanations for weight increase. Although you would believe that consuming soda and eating fast food are unrelated to one another, they actually are.
To learn more about explanatory variable visit:
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