Answer:

Step-by-step explanation:
Let

Differentiating y with respect to x

where a and b are constants
Answer:
11
Step-by-step explanation:
i searched up a percentage calculator ;-;
Answer:
998 heads are likely to appear
Step-by-step explanation:
When a fair coin is tossed, the probability to flip a head is 50% and to flip a tail is also 50%, so if the coin is tossed 1996 times, 0.5*1996 = 998 heads and 998 tails are likely to appear, despite the fact the coin lands heads up 4 times before, because every toss is independent of the other ones.
Answer:
c. y? =+4.198 x
Step-by-step explanation:
Hello!
Using the given data you need to estimate the equation of linear regression.
Dependent variable:
Y: Annual percentage change in stock price for a company.
Independent variable:
X: Annual percentage change in profits for the company.
The population regression line equation is:

To estimate the equation you need to find the point estimator for α and β.
The following formulas are the ones to use:
α ⇒ a= y[bar] - bX[bar]
β ⇒ b= (∑xy - [(∑x)(∑y)]/n)/(∑X²-(∑x)²/n)
As you can see you need to make several summatories before calculating the values of a and b:
n= 7
∑x= 36.30
∑x²= 667.09
∑y= 51.60
∑y²= 747.98
∑xy= 560.74
Sample mean of de dependent variable Y[bar]= ∑y/n= (51.60/7)= 7.37
Sample mean of the independent variable X[bar]= ∑x/n= (36.30/7)= 5.19
b= 
b= 0.6122
a= 
a= 4.196
The estimated regression equation is:
Y= 4.196 + 0.6122x
I hope it helps!
113
Step-by-step explanation:
7 plus 6 is 14 carry the one over to the 6 of the 67 then add the one the six and the four that equals 11
that gets you
113