How strongly do physical characteristics of sisters and brothers relate? The table below shows the heights (in inches) of 12 adult pairs.

Letxrepresent brother's height and letyrepresent corresponding sister's height.

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 |

1. Create scatterplot of the data in Excel or a graphing calculator. (Be sure to include a picture of your scatterplot as an attachment to your exam.) Determine the correlation coefficient and explain what information this value tells us about the relationship betweenxandy.
2. What is the equation for the least-squares regression line between heights of brothers and heights of sisters? You may use Excel or a graphing calculator to determine this.
3. Bob is 81 inches tall. Predict the height of his sister Jen. Show your work.
4. Was the predicted height calculated in part (c) a result from extrapola- tion? Why or why not?
5. Calculate the coefficient of determination and interpret its meaning in the context of the problem.