4) A 1974 study about endangered species includes the following. If x = number of years after 1950, and y = number of whooping crane sightings in the Arkansas National Wildlife Refuge, then
y^ = 15.36 + 1.82x , R2 = .93

a) What is the expected number of sightings in 1960? [2 pts]

b) What is the residual for the year 1960? [2 pts]

c) By how much is the number of sightings predicted to increase each year? [2 pts]

d) What is the correlation? [1 pt]

e) Interpretation: % of the variability in is accounted for by . [3 pts]

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.