Index
1
2
3
4
5
6
7
Temperature (F)
72
71
78
75
81
77
68
Pair of Gloves
37
37
32
36
33
35
39
Taking temperature as an independent variable and pairs of
gloves produced as a dependent variable, compute the least square’s
regression line.
2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5,
6, 7, 8, 9, 10}.
(a) How many of these functions are strictly increasing (i.e.
f(1) < f(2) < f(3) < f(4) < f(5) < f(6))? Hint: How
many different possibilities are there for the range of f? For each
range of f, how many strictly increasing functions are there?
(b) How many of these functions are non-decreasing (i.e. f(1) ≤
f(2) ≤...
1. Find the probabilities f(0), f(1), f(2), f(3), and f(4) of a
binomial distribution. Keep 4 decimal places in your answer. Use
n=4 and p=0.15. 2. Keep 4 decimal places in your answer. About 75%
of dog owners buy holiday presents for their dogs. Suppose n=4 dog
owners are randomly selected.
2. Find the probability that
a. at least one buys their dog holiday presents
b. three or more buy their dog holiday presents
c. at most three buy their...
Day
High temperature, C
Low temperature, C
1
30
25
2
32
26
3
34
23
4
29
20
5
31
19
6
30
21
7
25
18
The high and low temperatures of each day in Wichita KS are
given in Table. (1 pt) (a) Plot the high temperature for 7 days as
a function of day, i.e., high temperature on y-axis, and day # on
x-axis. Use the red, empty square as a marker with the solid line....
Find f(1), f(2), f(3) and f(4) if f(n) is defined recursively by
f(0)=4f(0)=4 and for n=0,1,2,…n=0,1,2,… by:
(a) f(n+1)=−2f(n)
f(1)=
f(2)=
f(3)=
f(4)=
(b) f(n+1)=4f(n)+5
f(1)=
f(2)=
f(3)=
f(4)=
(b) f(n+1)=f(n)2−4f(n)−2
f(1)=
f(2)=
f(3)=
f(4)=
1. M 644
2. F 345
3. F 710
4. F 655
5. F 539
6. M 492
7. M 598
8. F 481
9. F 622
10. F 545
11. M 707
12. F 332
13. M 538
14. F 470
15. M 469
16. F 483
17. M 572
18. F 487
19. M 358
20. F 440
21. F 637
22. M 447
23. F 482
24. M 485
25. F 417
26. M 569
27. M...
Suppose f(1) = 2, g(1) = −1, f′(1) = 3, g′(1) = 2, f(2) = 1, and
f′(2) = 0.2. Calculate the derivatives of the following functions
at the provided point (be careful with using the correct values) 3
pts each:
(a) d/dx (e^xf(x)) when x=2
(b) d/dx (f(x)/g(x)) when x=1
(c) d/dx (ln(xf(x))) when x=1