Answer:
y=1.003009+0.003453x
or
GPA=1.003009+0.003453(SAT Score)
Step-by-step explanation:
The least square regression equation can be written as
y=a+bx
In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.
SAT score (X) GPA (Y) X² XY
421 2.93 177241 1233.53
375 2.87 140625 1076.25
585 3.03 342225 1772.55
693 3.42 480249 2370.06
608 3.66 369664 2225.28
392 2.91 153664 1140.72
418 2.12 174724 886.16
484 2.5 234256 1210
725 3.24 525625 2349
506 1.97 256036 996.82
613 2.73 375769 1673.49
706 3.88 498436 2739.28
366 1.58 133956 578.28
sumx=6892
sumy=36.84
sumx²=3862470
sumxy=20251.42
n=13
b=9367.18/2712446
b=0.003453
a=ybar-b(xbar)
ybar=sum(y)/n
ybar=2.833846
xbar=sum(x)/n
xbar=530.1538
a=2.833846-0.003453*(530.1538)
a=1.003009
Thus, required regression equation is
y=1.003009+0.003453x.
The least-squares regression equation that shows the best relationship between GPA and the SAT score is
GPA=1.003009+0.003453(SAT Score)
The surface area would be 26.5487 m².
The surface area of a cylinder is equal to the area of the circles at both ends, added to the area of the rectangular portion in the middle. The rectangle in the middle has a width equal to the circumference of the circle and a length equal to the height of the cylinder.
The circumference of a circle is given by C = πd, and the area of the circles is given by A=πr².
Since the height is in meters, we will convert it to cm. 3.5 m = 350 cm.
The diameter is 190 cm, so the radius is 190/2 = 95 cm.
This gives us:
SA = 3.14(190)(350)+2(3.14)(95)²
= 208810 + 56677 = 265487 cm² = 26.5487 m²
Answer:
x = -13
Step-by-step explanation:
Distribute:
8 - 6x + 10x - 15 = 20 - 5x
Combine like terms:
4x - 7 = 20 - 5x
Isolate Variable
-x = 13
-1(-x) = -1(13)
x = -13
Answer:
1. The growth rate is 2
2. The sample is losing half its mass, so the decay factor is 1/2 or 0.5
Step-by-step explanation:
The growth and decay factor in an exponential function is the number that is being multiplied to the power of x
- It is a growth rate when that number is greater than 1
- It is a decay rate when the number is less than 1
- If it's 1 then it's not growing or decaying
- If it's 0 you will have an answer of 0
