35.11 Quick review questions

A study of athletes (Telford and Cunningham 1991) examined the relationship between the height and weight of $n=37$ rowers at the Australian Institute of Sport (AIS), as shown in Fig. 35.14.

FIGURE 35.14: Scatterplot of Weight against Height rowers at the AIS

1. Using the ‘rise over run’ idea, the slope is approximately
   -140 1 -1 50
2. The $y$-variable is
   Weight Height
3. The regression equation is $\hat{y} = -138 + 1.2 x$. What does $x$ represent?
   The weight of the rowers The height of the rowers
4. What does the ‘hat’ above the $y$ mean?
   That the weights are not measured accurately That the weights are population values That the regression model gives poor estimates That the regression model gives good estimates That the regression model gives an estimate of the weight
5. To two decimal places, what weight would be predicted for a rower who is 180cm tall?
   
6. The standard error of the slope is 0.112. What is the value of the test statistic (to one decimal place) to test if the population slope is zero?
   
7. True or false? The $P$-value for this test will be very small
   TRUE FALSE
8. True or false? The units of the slope are kg/cm
   TRUE FALSE
9. True or false? Making a prediction for the weight of a rower weighing 220 kg would be an example of extrapolation
   TRUE FALSE

References

Telford RD, Cunningham RB. Sex, sport, and body-size dependency of hematology in highly trained athletes. Medicine and Science in Sports and Exercise. 1991;23(7):788–94.

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Copyright © Peter K. Dunn, 2021