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zheka24 [161]
3 years ago
7

Would like scatter plot image with line of best fit on the plot

Mathematics
1 answer:
dlinn [17]3 years ago
7 0

Just take it in co-ordinate pairs

  • (x,y)=(Arm span,Height)

Take two points

  • (58,60)
  • (41,40)

Slope:-

\\ \sf\longmapsto m=\dfrac{40-60}{41-58}

\\ \sf\longmapsto m=\dfrac{-20}{-17}

\\ \sf\longmapsto m=\dfrac{20}{17}

\\ \sf\longmapsto m\approx 1.2

Equation of line in point slope form

\\ \sf\longmapsto y-y_1=m(x-x_1)

\\ \sf\longmapsto y-60=1.2(x-58)

\\ \sf\longmapsto y-60=1.2x-69.6

\\ \sf\longmapsto 1.2x-y-9.6=0

  • Convert to slope intercept form y=mx+b

\\ \sf\longmapsto y=1.2x-9.6

Graph attached

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Inessa05 [86]
3x-14=4x-9
-4x     -4x
-x-14=-9
   -14  -14
-x=-15
-x/-1=-15/-1
x=15
Sorry if this is a bit confusing, but I hope I helped
5 0
3 years ago
A sphere has a volume of 36π in3. What is the radius of the sphere?
amm1812

Answer:

r = 3 inches

Step-by-step explanation:

The formula for the volume of a sphere is the following:

V = (4π/3)r^3

You know the volume so plug that in for V:

36π = (4π/3)r^3

27 = r^3 (multiply by 3/4π to get r^3 by itself)

r = 3 (you take the cube root of r and 27 to get the value of r)

Hope this helps :)

3 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through the points (-3,-4),(6,-1)
klasskru [66]
Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
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m = --------------
           c-a

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3 0
3 years ago
A person can pay $27 for a membership to the science Museum and then go to the museum for just a $1.00 per visit. What is the ma
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10

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7 0
3 years ago
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A local police chief claims that 31% of all drug-related arrests are never prosecuted. A sample of 500 arrests shows that 27% of
Elis [28]

Answer:

z=\frac{0.27 -0.31}{\sqrt{\frac{0.31(1-0.31)}{500}}}=-1.933  

p_v =P(Z  

If we compare the p value obtained and the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we can said that at 2% of significance the proportion of arrests that were not prosecuted is not significanlty less than 0.31.  

Step-by-step explanation:

1) Data given and notation

n=500 represent the random sample taken

X represent the number of arrests that were not prosecuted.

\hat p=0.27 estimated proportion of arrests that were not prosecuted

p_o=0.31 is the value that we want to test

\alpha=0.02 represent the significance level

Confidence=98% or 0.98

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.31.:  

Null hypothesis:p\geq 0.31  

Alternative hypothesis:p < 0.31  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.27 -0.31}{\sqrt{\frac{0.31(1-0.31)}{500}}}=-1.933  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.02. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(Z  

If we compare the p value obtained and the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we can said that at 2% of significance the proportion of arrests that were not prosecuted is not significanlty less than 0.31.  

3 0
3 years ago
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