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solmaris [256]
3 years ago
7

A study was conducted looking at the association between the number of polyps in the colon and mean grams of fiber consumed per

day based on a standard food frequency questionnaire. The Pearson correlation coefficient was 0.9 with a p-value of 0.003 and the Spearman correlation coefficient was 0.28 with a p-value of 0.049. Which form of correlation would be more appropriate to report and why?
Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Explanation:

The following multiple choice responses are provided to complete the question:

A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).

B) The Pearson correlation results should be reported because the two variables are normally distributed.

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.

Further Explanation:

A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed.  Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

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3 years ago
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Zielflug [23.3K]

The amount of heat depends on three factors:-

#Mass of the material used in bowls.

#Specific heat capacity of the material used in bowls.

#Temperature change.

So, (change in energy) = (mass) x (specific heat capacity) x (temperature change)

Temperature Change = (Change in energy) / (mass x specific heat capacity)

It says "The bowls start at the same temperature, and then the same amount of heat is added to each bowl". It means temperature change varies inversely with product of mass and specific heat capacity.

Higher the product of mass and specific heat capacity, Lower the temperature change, Cooler the bowl will be.

Water’s specific heat capacity is 4.186 joules/gram degree Celsius. Mercury’s specific heat capacity is 0.140 joules/gram degree Celsius.

Water and mercury are put into three identical bowls:

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#Bowl C contains 20 grams of mercury.

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It means temperature change in <u>Bowl B < Bowl A < Bowl C.</u>

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The force of gravity on Mars is different than on Earth. The function of the same situation on Mars would be represented by the
sweet-ann [11.9K]

Answer:

If thrown up with the same speed, the ball will go highest in Mars, and also it would take the ball longest to reach the maximum and as well to return to the ground.

Step-by-step explanation:

Keep in mind that the gravity on Mars; surface is less (about just 38%) of the acceleration of gravity on Earth's surface. Then when we use the kinematic formulas:

v=v_0+a\,*\,t\\y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2

the acceleration (which by the way is a negative number since acts opposite the initial velocity and displacement when we throw an object up on either planet.

Therefore, throwing the ball straight up makes the time for when the object stops going up and starts coming down (at the maximum height the object gets) the following:

v=v_0+a\,*\,t\\0=v_0-g\,*\,t\\t=\frac{v_0}{t}

When we use this to replace the 't" in the displacement formula, we et:

y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2\\y-y_0=v_0\,(\frac{v_0}{g} )-\frac{g}{2} \,(\frac{v_0}{g} )^2\\y-y_0=\frac{1}{2} \frac{v_0^2}{g}

This tells us that the smaller the value of "g", the highest the ball will go (g is in the denominator so a small value makes the quotient larger)

And we can also answer the question about time, since given the same initial velocity v_0 , the smaller the value of "g", the larger the value for the time to reach the maximum, and similarly to reach the ground when coming back down, since the acceleration is smaller (will take longer in Mars to cover the same distance)

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2 years ago
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insens350 [35]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.

Let x be the number of years.

Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x

7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113

It would take 113 years before the populations are equal.

7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
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3 years ago
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