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zysi [14]
3 years ago
10

HELPPPPPPPPPP!!!!!!! Calculate the correlation coefficient for the following data, showing all work. What does it tell you about

the data?

Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

I will show the way.

Step-by-step explanation:

r is the correlation coefficient

r=\frac{SSxy}{\sqrt{(SSxx)(SSyy)}}

To find SSxy

SSxy= ∑xy- ∑\frac{(x)(y)}{n}

To find SSxx

SSxy= ∑x^{2}- (∑x)^{2}/n

To find SSyy

SSxy= ∑y^{2}- (∑y)^{2}/n

if your r is near +1, it shows strong positive correlation. Y is proportional to X.

And if it nears -1, it would show strong negative correlation. Y is inversely proportional to X.

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A researcher was interested in seeing how many names a class of 38 students could remember after playing a name game After playi
Andreas93 [3]

Answer:

Proportion of the students recalled more than 15 names is 91.77%.

Step-by-step explanation:

We are given that a researcher was interested in seeing how many names a class of 38 students could remember after playing a name game After playing the name game, the students were asked to recall as many first names of fellow students as possible.

The mean number of names recalled was 19.41 with a standard deviation of 3.17.

<em>Let X = number of names recalled</em>

SO, X ~ N(\mu = 19.41,\sigma^{2} = 3.17^{2})

The z-score probability distribution is given by ;

                  Z = \frac{X-\mu}{\sigma} } } ~ N(0,1)

where, \mu = mean number of names recalled = 19.41

            \sigma = standard deviation = 3.17

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, proportion of the students recalled more than 15 names is given by = P(X > 15 names)

     P(X > 15) = P( \frac{X-\mu}{{\sigma} } } > \frac{15-19.41}{3.17}  } ) = P(Z > -1.39)

                                                      = P(Z < 1.39) = 0.9177  {using z table}

<em>Therefore, proportion of the students recalled more than 15 names is </em><em>91.77%.</em>

4 0
3 years ago
Bao is mixing flour and water to make dough the graph shows how much water he uses for different amounts of flour .How many lite
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To know how many liters of water Bao use per liter of flour we have to divide the liters or flour so:

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So Bao uses 0.33 or 1/3 of water per liter or flour

and to know hoy manu liters of flour Bao use per liter of water we have to made the oposite division so:

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She use 3 liters of flour per liter of water

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1 year ago
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frosja888 [35]
If you are solving for x than the answer would be x=4.
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A store sells apples in 5-pound bags for $2.25. If the price per pound is the same, how much money would it cost for a 20-pound
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I’m pretty sure the answer would be $9.00.
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