The model $= \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$ is used whenever the statistician believes that, on average, $y$ is linearly related to $x _ { 1 }$ and $x _ { 2 }$ , and the predictor variables do not interact.

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The model 11eb0ead_0885_f571_9431_9ba75e5837d9_TB5762_11 is a multiple linear regression model that assumes a linear relationship between the response variable y and the predictor variables x1 and x2. It does not include any interaction terms, which means that the effect of one predictor variable on the response does not depend on the value of the other predictor variable.

The Model =β0+β1x1+β2x2= \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }=β0​+β1​x1​+β2​x2​

The Model $= \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$