In a study of $150$ women, researchers were interested in the relationship between monitoring behaviors $($M $=27\mathrm{.}28,$ SD $=7\mathrm{.}00)$ and reported eating disorder symptoms $($M $=66\mathrm{.}47,$ SD $=18\mathrm{.}99).$ The correlation between these two variables was, r $=\mathrm{.}51.$

$1.$ Regression equations can either be standardized or unstandardized. Below I provide the blank formulas in a way to distinguish between standardized and raw data. For question $1,$ define Y$$z$,\backslash$beta $,$ Xz$,$ Y$,$ b$,$ X$,$ and a$.$

a$.$ Standardized Regression Equation: Y$$z $=\backslash$beta Xz

b$.$ Unstandardized Regression Equation: Y$=$ bX $+$ a

$2.$ Using the data above, write out the standardized regression equation expressing the relationship between monitoring behaviors and eating disorder symptoms. Specifically, replace $\backslash$beta in the above formula with the standardized regression coefficient.

$3.$ Interpret $\backslash$beta

$4.$ Using the data above, write out the unstandardized regression equation expressing the relationship between monitoring behaviors and eating disorder symptoms. Specifically, replace b and a in the above formula with the unstandardized regression coefficient and intercept.

$5.$ Interpret b and a