1. Day Care Centers A researcher wishes to determine if there is a relationship between the number of day care centers and the number of group day care homes for counties in Pennsylvania. If there is a significant relationship, predict the number of group care homes a county has if the county has 20 day care centers. Day care centers x 5 28 37 16 16 48 Group day care homes y 2 7 4 10 6 9
2. Driver's Age and Accidents A study is conducted to determine the relationship between a driver's age and the number of accidents he or she has over a 1-year period. The data are shown here. (This information will be used for Exercise 8.) If there is a significant relationship, predict the number of accidents of a driver who is 28. Driver's age x 16 24 18 17 23 27 32 No. of accidents y 3252011
3. Protein and Diastolic Blood Pressure A study was conducted with vegetarians to see whether the number of grams of protein each ate per day was related to diastolic blood pressure. The data are given here. (This information will be used for Exercises 10 and 12.) If there is a significant relationship, predict the diastolic pressure of a vegetarian who consumes 8 grams of protein per day. Grams x 4 6.5 5 5.5 8 10 9 8.2 10.5 Pressure y 73 79 83 82 84 92 88 86 95
4. For Exercise 2, find the standard error of the estimate.
5. . For Exercise 3, find the standard error of the estimate.
6. . For Exercise 3, find the 95% prediction interval for pressure when the number of grams is 8.
7. (Opt.) Find R when ryx1= 0.681 and ryx2 =0.872 and rx1x2 = 0.746.