8. Consider the following set of data: '35 27 51 183 55 83 209 173 99 462 211 276 166 (:1) Determine the rst and third quartiles. Be sure to show how you obtained these values Determine the interqlwrtile range (IQR). Show how you obtained this (c) Use the 1.5 x IQR rule to determine if there are any suspected outliers in the data set. List the outliers, if there are any. 9. How strongly do physical characteristics of sisters and brothers relate? The table below shows the heights (in inches) of 12 adult pairsr Brother 71 68 66 67 70 71 70 73 72 65 66 70 Sister 69 64 65 63 65 62 65 64 66 59 62 64 Let :'0 represent brother's height and let y represent corresponding sister's height. (a) 1' Determine the correlation coeicient and write down what this particular value tells us about the relationship between 1 and y (b) _ l What is the equation for the leastsquares regression line between heights of brothers and heights of sisters? You may use Excel or a graphing calculator to determine this. Interpret the meaning of the slope of the regression line in the context of the problem statement. Ted is 68 inches tall. Predict the height of his sister Julie. Show your (d) ( Suppose Julie's actual height is 62 inches. Calculate its residual and round it OH to two decimal places. (e) V Was the predicted height calculated in part (c) a result from extrapola- tion? Why or why not'.7 (f) A , Calculate the coeicient of determination and interpret its meaning in the context of the