Answer:
Step-by-step explanation:
a)General least square regression line is ,
Where,a=intercept. b= slope
To get line just find values of a and b.
Use Excel to find values.
First enter values of variable "age" that is y in the column A that is A1to A5 and values of variable "height" in the column B, B1 to B5.
Then for value of a use functufuas ,
=INTERCEPT(A1:A5,B1:B5)
Then hit enter ,therefore a=20.4595
For b use function as. =SLOPE(A1:A5,B1:B5)
Then hit enter.therefore b=0.3738
Therefore equation of least square regression line is
Y=20.4595+(0.3738*x)
b) to predict height at age 21 years or 252 month just put value of x=252 in the above equation.
Y=20.4595+(0.3738+252)
Y=20.4595+94.1976
Y=114.6571
Conclusion: height will be 114.6571 inches when age change by 1 unit.
Answer:
The equation is not linear
Step-by-step explanation:
You are given the equation
Express y in terms of x:
The linear function must of form
where m and b are real numbers.
Your function is not of this form, so this is not a linear function.
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s
Answer:
The result can be shown in multiple forms.
Exact Form:
2,5+D,4-1,3D
Decimal form;
2,5+D,3,3D
Step-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
Answer:
Step-by-step explanation:
F(x) is a transformation from h(x).
So our starting equation is
F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.
There isn't a vertical or horizontal stretch, compressions.
There isn't a horizontal shift as the x values stay in the same place.
There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).
So our equation looks like.
