1w i vwas 1) A researcher wants to answer how strongly do physical characteristics of sisters and brothers correlate? He randomly selected 12 adult pairs of brother and sister and recorded the heights (in inches) in the table below: Brother | 71 | 68 | 66 [ 68 | 70 [ 71 | 70 | 73 [ 72 [ 65 | 66 | 70 | [sister | 68 | 63 | 65 | 63 [ 65 [ 62 [ 65 | 65 | 66 | 59 | 62 [ 64 | a) Find a linear regression model for predicting sister's height from brother's height. Round coefficients to 4 decimal places. b) Interpret the slope of the linear model from part (a) in context. ) Use your model to predict the sister's height for a brother that is 74 inches. Round to two decimal places. d) Use your model to predict the brother's height for a sister that is 63 inches. Round to two decimal places. e) Find the correlation coefficient. Round to three decimal places. What does this tell you about how linear the data is