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Rufina [12.5K]
4 years ago
11

A traffic officer is compiling information about the relationship between the hour or the day and the speed over the limit at wh

ich the motorist is ticketed. He computes a correlation coefficient of 0.12. What does this tell the officer?
Mathematics
1 answer:
SpyIntel [72]4 years ago
3 0

Answer:

The correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The types of correlation coefficient are:

  • +1 (-1) : Perfect positive (negative) correlation
  • 0 to 0.30(-0.30) : Weak positive (negative) correlation
  • 0.30(-0.30) to 0.70(-0.70) : Moderate positive (negative) correlation
  • 0.70(-0.70) to 1 (-1) :  Strong positive (negative) correlation

The correlation coefficient value between the hour of the day and the speed over the limit at which the motorist is ticketed is:

<em>r</em> = 0.12.

The value of <em>r</em> lies between:

0 < 0.12 < 0.30

Thus, the correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.

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6 0
4 years ago
A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models
polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}, where:

x_2 is the second point in the function

x_1 is the first point in the function

f(x_2) is the function evaluated at the second point

f(x_1) is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so x_1=1 and x_2=10. Replacing values:

Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}

Av=\frac{-100+200+50-[-1+20+50]}{9}

Av=\frac{150-[69]}{9}

Av=\frac{150-69}{9}

Av=\frac{81}{9}

Av=9

Since f(x) represents the number of pounds per acre and x the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0
4 years ago
The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly
ivanzaharov [21]

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

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Describe how you would test a sample of food to show it contains protein.
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Step-by-step explanation:

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Method:

Place one spatula of the food sample on a dish or 1 cm3 if the sample is liquid.

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5 0
3 years ago
6x – 7y = 16 2x + 7y = 24 (2, 1) (2, 0) (5, 2) (4, –5)
White raven [17]
<span>6x – 7y = 16
2x + 7y = 24

This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.

</span>    6x – 7y = 16 
    2x + 7y = 24
+___________
    8x –  0 = 40
           8x = 40
             x = 5

Substitute 5 for x into either of the above equation and solve algebraically for y.

       2x + 7y = 24
    2(5) + 7y = 24
      10 + 7y = 24
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Check work by plugging both x- and y-values into each original equation.

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Answer:
x = 5; y = 2

(5, 2)
3 0
3 years ago
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