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3 years ago

What is the slope of a line with the cords (-3,2) (-1,-1)

Mathematics

1 answer:

xenn [34]3 years ago

5 0

Answer:

X2 = 1.0792

Y2 = 2.0594

ΔX = 4.0792

ΔY = 3.0594

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

X2 = -7.0792

Y2 = -4.0594

ΔX = -4.0792

ΔY = -3.0594

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

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) How many degrees of freedom are available for hypothesis tests and confidence intervals for single regression coefficient

sladkih [1.3K]

Answer:

We use students' t distribution therefore degrees of freedom is v= n-2

Step-by-step explanation:

Confidence Interval Estimate of Population Regression Co efficient β.

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

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

4 0

3 years ago

A spinner with 12 equally sized slices has 12 yellow slices. The dial is spun and stops on a slice at random. What is the probab

malfutka [58]

Answer:

Your answer should be 100% or 12/12

Step-by-step explanation:

If all of your slices are yellow then you can't land on any other color. Which means you have 100% chance to land on yellow.

8 0

3 years ago

What is the measure of angle TRV? 20° 50° 60° 130°

kari74 [83]

130
srv is a straight line so angleSRV=180
TRV and SRT make up SRV so TRV + SRT = SRV.
(x-10) + (2x+10) = 180.
the 10s cancel each other out so 3x = 180
so x=60 bc 180/3=60. sub 60 for x in TRV and u get 130. sub 60 for x in SRT and you get 50, which, with 130 makes 180, so the answer is correct!

7 0

4 years ago

Read 2 more answers

Find the equation 3x-1=11

g100num [7]

Answer:

x = 4

Step-by-step explanation:

3x - 1 = 11

3x = 1 + 11

3x = 12

x = 12/3

x = 4

Thus, The value of x is 4

-TheUnknownScientist

8 0

3 years ago

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Marie noticed that she was eating 2100 calories per day she began a diet and limited herself to 1300 calories per day. What is t

sasho [114]

Answer:

decrease of 38% (to nearest percent)

Step-by-step explanation:

Percent change = [ (difference between final and initial value) ÷ initial value] x 100

⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)

6 0

3 years ago