This uses hypothesis testing to determine if there is significant difference between the means of three or more groups.

Step 1: Solve the following problems:

Find solutions to the following problems. Include a statement about significance and a Tukey's HSD when necessary.

1. Subjects are interviewed about their sugar consumption and then had their fasting blood-sugar levels measured. Find the correlation coefficient, the least-squares regression line, and the predicted blood-sugar level for someone who consumes 340 grams of sugar per day. Also, test the hypothesis that sugar consumption has no affect on blood-sugar levels against the alternative that increases in sugar consumption are correlated with increases in blood-sugar level at 1% significance.

Sugar g/day	Blood-sugar mg/dl
87	78
101	98
142	159
167	176
198	255
231	238
300	374

2. Subjects were interviewed about their smoking habits in cigarettes per day and were tested for their aerobic capacity. Taking cigarettes per day as the explanatory (independent) variable and aerobic capacity as the response (dependent) variable, find the correlation coefficient, the least-squares regression line, and the predicted aerobic capacity for someone who smokes 25 cigarettes a day. Also, test the null hypothesis that smoking does not affect aerobic capacity against the alternative that increased smoking decreases aerobic capacity at 5% significance.

Cigarettes per day	Aerobic Capacity
3	52
5	38
6	45
9	34
11	29
12	31
16	17
19	25