The mean of year is 1950 and the standard deviation of year is 37.4. the mean of sugar consumption is 77.5 and the standard deviation is 19.6 the correlation coefficient between year and sugar consumption is 0.95 [useful formulas: slope=rsy/sx and intercept = mean of y – (slope * mean of x)] are these two variables related? if so, what is the direction of the relationship?

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?