Question

1. A study was conducted with vegetarians to see if the number of grams of protein each ate per day was related to diastolic blood pressure. The data is given below. What is the correlation coefficient of the regression line that relates protein to diastolic pressurep. Round to 3 decimals.

grm protein	4	6.5	5	5.5	8	10	9	8.2	10.5
dias pressure	73	79	83	82	84	92	88	86	95

2. The relationship between a fathers age and the number of children he has is studied. The data are shown below. what is the correlation coeffieicent? Carry to 3 decimal places

Father age--- 19--- 21-- 27-- 20-- 25-- 31-- 32-- 38
# of children- 1----- 2----3--- 0---- 1--- 4--- 3--- 4

3. An insurance compnay wants to know if the number of accidents is equally distributed between the days of the week. One executive believes they are equally distributed. A random sample is selected. At alpha = 0.05 is this assumption true

Day ----------mon-- tues-- wed --thur-- fri-- sat-- sun
# accidents --28---- 32---- 15----- 14--- 38--- 43--- 19

4. A study was conducted with vegetarians to see if the number of grams of protein each ate per day was related to diastolic blood pressure. The data is given below. Estimate the blood pressure if a vegetarian consumes 7.4 grams of protein per day

grams protein --4-- 6.5-- 5-- 5.5-- 8-- 10-- 9-- 8.2-- 10.5
dia. pressure-- 73-- 79-- 83-- 82-- 84- -92- 88- 86--- 95

5. A study was conducted with vegetarians to see if the number of grams of protein each ate per day was related to diastolic blood pressure. The data is given below. What is the linear regression equation that relates grams of protein to diastolic pressure.
Write in following form y=mx+b do not use spaces

grams protein --4-- 6.5-- 5-- 5.5-- 8.0-- 10-- 9-- 8.2-- 10.5
dia. pressure-- 73-- 79-- 83-- 82-- 84- -92- 88- 86--- 95

6. A Researcher wants to know if the age of a child is related to the number of cavities he has. Find the 90% confidence interval of the # of cavities for a 7 year old.

Age ---------6------ 8------ 9----- 10----- 12---- 14
# cavities-- 2------ 1----- 3----- 4------- 6----- 5

Answer 1

( 1 )

Answer : correlation coefficient = 0.916

( 2 )

Answer : correlation coefficient = 0.857