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dlinn [17]
3 years ago
8

An investigation of the relationship between height of a child and age (in months) found that age explained 64% of the variation

in height. Knowing this, the correlation between age and height for children is ___. Give your answer to one decimal place: X.X
Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

r = 0.8

Step-by-step explanation:

The correlation coefficient, "r", represents the correlation between the independent and dependent variable. The closer "r" is to 1, the better the correlation. Likewise, if "r" is closer to 0, there will be hardly any correlation.

The coefficient of determination, R², is the proportion of the variation in the dependent variable that is predictable from the independent variable, or how well the data fits the regression model.

In this case, since R²=64%=0.64, then r=√(0.64)=0.8

This means that there is a strong correlation between age and height.

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Step-by-step explanation:

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3 years ago
10. A 266-hp output is required for an engine. If there is a 5% loss of power, what amount of input
marta [7]

Answer:

Amount of input horsepower needed is 279.3 hp.

Step-by-step explanation:

if there is a loss of power of 5% the base horsepower will need to be increased by same percentage so that same amount of power can be delivered.

Now to calculate 5% of 266 hp, we can write

266 ×\frac{5}{100} = 13.3 hp

Now to deliver same amount of power we will have to add 5% of 266 hp to its actual power.

So real base power which is needed to deliver 266hp output even at a loss of 5% will be = (266+13.3) hp = 279.3 hp

To know more about horsepower and percentage problem:

brainly.com/question/24585630

7 0
3 years ago
Please help me!
Alexxandr [17]

A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.

We can use the Pythagorean formula to find the other leg of the right triangle.

a²+b²=c²

Where a and b are the legs of the triangle and c is the hypotenuse.

According to the given problem,

one leg: a= 5m and hypotenuse: c=13√5 m.

So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,

5²+b²=(13√5)²

25 + b² = 13²*(√5)²

25 + b² = 169* 5

25+ b² = 845

25 + b² - 25 = 845 - 25

b² = 820

b =√ 820

b = √(4*205)

b = √4 *√205

b = 2√205

b= 2* 14.32

b = 28.64

So, b= 28.6 (Rounded to one decimal place)

Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).

5 0
3 years ago
One flower is randomly taken from a vase containing 5 red
nekit [7.7K]
3/5 flowers are red
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Therefore, there is a 60% chance a red flower will be picked
3 0
3 years ago
Read 2 more answers
I need help pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaseeeeee
UkoKoshka [18]

Answer:

3 option is correct

Step-by-step explanation:

because all the domains and ranges calculation matches in eqn 3

3 0
3 years ago
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