For the data set pictured below, I want test the significance of a simple linear regression. The slope and intercept are highly significant with x-y data points only. However, there is substantial known measurement error for the dependent variable.

I believe that I need to include this measurement error in the calculation of p values for the slope and intercept. Is that true? If so, does anyone know how to include it in regression analysis for common statistical software (SPSS, r, or minitab)? Thank you.

I believe that I need to include this measurement error in the calculation of p values for the slope and intercept. Is that true? If so, does anyone know how to include it in regression analysis for common statistical software (SPSS, r, or minitab)? Thank you.

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