are correlation coefficient and slope always the same value? do they ever differ and if so when?

Destradiol .142 878 4.101 .009 (mg/24mL) a. Dependent Variable: Birthweight (@/100) t, for r/B, p-value for r/B 36 Linear Regression Relationship between rand B, The correlation coefficient (r) and B, are related F SB r= S r is also known as the standardised slope i.e. if every value of x, and every value of y were converted to z-scores, then the slope (B,) calculated for these standardised values would equal r 37 Linear Regression Relationship between rand B, Try it Yourself Perform a regression analysis on the oestriol and birth weight data 2 Standardise the data using the Analyze > Descriptive Statistics > Descriptives function Re-do the regression analysis on this new variable , and compare the r and B, Descriptives Variable's): Destradiol (mg/24... Options.. Birthweight Ig/100.. Save standardized values as variable Coefficients Standardized Unstandardized Coefficients Coefficients Model B Std. Error Beta Sig. Constant) .140E-16 198 000 1,000 Zscore: Oestradiol 878 214 878 4.101 .009 (mg/24mL) a. Dependent Variable: Zscore: Birthweight (g/100) 38 Linear Regression Variation Around the Regression Line Three types of variation about a regression line Total variation Explained variation Unexplained variation Total Deviation = y; - y Explained Deviation = >; - y