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adell [148]
3 years ago
11

Determine the type of correlation that exists in the given data set. Age (years) 23 45 39 74 63 52 59 28 35 11 26 49 IQ 76 82 11

3 111 109 115 101 127 92 123 128 99 A. According to this data, there is a positive correlation between age and IQ. B. According to this data, there is a negative correlation between age and IQ. C. According to this data, there is no correlation between age and IQ. D. There is not enough information in this data to determine what type of correlation exists between age and IQ.

Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

B -0.104

Step-by-step explanation:

Step 1: Write the formula for correlation

r =    total xy

√Total x² x Total y²

Step 2: Make a table to calculate all values

Table is attached in the picture below

Step 3 : Solve

Mean of X = Total X/ Total number of X

                  = 507/12

                  = 106.33

Mean of Y = Total Y/ Total number of Y

                  = 1276/ 12  

                  = 42.25

r =    total xy

√Total x² x Total y²

r = -352.05/ √3656.25 x 3122.66698

r = -0.104

-0.104 is negative

This negative correlation means there is an inverse correlation between variables.

Kitty [74]3 years ago
6 0

Answer:

B. According to this data, there is a negative correlation between age and IQ.

Step-by-step explanation:

Correlation shows the strength of relation between two variables. The formula used to calculate correlation is:

Correlation(r) = \frac{Cov(x, y)}{\sigma_{x}\sigma_{y}}= \frac{E(x-\mu_{x})(y-\mu_{y})}{\sigma_{x}\sigma_{y}}

where, Cov(x,y) = Covariance of x and y

\sigma_{x} = standard deviation of x

\sigma_{y} = standard deviation of y

\mu_{x} = mean of x

\mu_{y} = mean of y

and, E denotes the Expectation.

The value of the correlation lies between -1 to +1.

If the value of correlation lies between -1 to 0 then it is known as a negative correlation.

and, If the value of correlation lies between 0 to 1 then it is known as a positive correlation.

Using the above formula of correlation we get Correlation (r) = -0.1225.

Thus, there is negative correlation between age and IQ.

We can also use a correlation calculator for getting the value of correlation.

Hence, option (B) is correct.

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3 0
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Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo
adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

\mathbf{Used = 70\% \times x}

Express percentage as decimal

\mathbf{Used = 0.7 \times x}

\mathbf{Used = 0.7x}

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

\mathbf{New= (1 + 15\%) \times x}

Express percentage as decimal

\mathbf{New= (1 + 0.15) \times x}

\mathbf{New= 1.15 \times x}

\mathbf{New= 1.15x}

The amount saved is the difference between the prices of the drones.

So, we have:

\mathbf{Saved =New - Old}

This gives

\mathbf{Saved =1.15x- 0.7x}

Subtract

\mathbf{Saved =0.45x}

Express as a function

\mathbf{f(x) = 0.45x}

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

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7 0
2 years ago
Stephen uses \dfrac{2}{25}
zepelin [54]

Answer:

13\dfrac{3}{4}$ servings

Step-by-step explanation:

Stephen uses \dfrac{2}{25} kilograms of tofu in each serving of his dish.

He has 1\dfrac{1}{10} kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div  \dfrac{2}{25}\\\\= \dfrac{11}{10}X  \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings

Stephen can make 13\dfrac{3}{4}$ servings .

6 0
3 years ago
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Shtirlitz [24]

Answer:

Step-by-step explanation:

The question is not terrifically worded. What it means is "What is the y value when x = 8" That's what f(8) conveys to you.

The answer (though zero is not marked and should be) is 1 unit above 0.

The answer is f(8) = 1 He's heading back.

5 0
2 years ago
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Deffense [45]
If Jayden needs 900, and he already has 375, first you need to find out how much more money he needs. Do that first.

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3. Solve for w. This should give you your answer.

I hope this helps!
5 0
3 years ago
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