Salt in the diet and CVD. Refer to given Exercise. Use x = 1 for the high-salt diet and x = 0 for the low-salt diet.
(a) Find the estimates b0 and b1.
(b) Give the fitted logistic regression model.
(c) What is the odds ratio for the high-salt versus the low-salt diet?
Exercise
Salt intake and cardiovascular disease. A study was designed to look at the relationship between salt in the diet and the risk of developing cardiovascular disease (CVD). Here are the data:
|
|
Salt in diet
|
|
|
Developed CVD
|
Low
|
High
|
Total
|
|
Yes
|
88
|
112
|
200
|
|
No
|
1081
|
1134
|
2215
|
|
Total
|
1169
|
1246
|
2415
|
(a) For each salt level find the probability of developing CVD.
(b) Convert each of the probabilities that you found in part (a) to odds.
(c) Find the log of each of the odds that you found in part (b).