Answer:
y=-x+3
Step-by-step explanation:
y=-x+3
you can see the negative slope in the direction
the +3 comes from the 3 in the x and y intercepts
m=-1
- 3/10 = -0.3
order from least to greatest
-0.6, -3/10 and 3/5
Three fractions that are equivalent to 8/9 are 16/18, 24/27, and 32/36.
Best of luck, friend.
Answer:
an infinite number
Step-by-step explanation:
The equation simplifies to ...
12x -7 = 6x +10 +6x -17 . . . eliminate parentheses
12x -7 = 12x -7 . . . . . . . . collect terms
0 = 0 . . . . subtract (12x-7) from both sides
This is true for all values of x. There are an infinite number of solutions.
Answer:
We use students' t distribution therefore degrees of freedom is v= n-2
Step-by-step explanation:
<u>Confidence Interval Estimate of Population Regression Co efficient β.</u>
To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x is not known so we use S.y.x and also student's t distribution rather than normal distribution.
t= b - β/S.y.x / √(x-x`)² = b - β/Sb [Sb = S.y.x / √(x-x`)²]
with v= n-2 degrees of freedom.
Consequently
P [ - t α/2< b - β/Sb < t α/2] = 1- α
or
P [ b- t α/2 Sb< β < b+ t α/2 Sb] = 1- α
Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30 is given by
b± t α/2 Sb
Using the same statistic a confidence interval for α can be constructed in the same way for β replacing a with b and Sa with Sb.
a± t α/2 Sa
Using the t statistic we may construct the confidence interval for U.y.x for the given value X0 in the same manner
Y~0 ± t α/2(n-2) SY~
Y~0= a+b X0
