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Alexandra [31]
3 years ago
10

A national consumer magazine reported the following correlations.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer:

Correct option: (b).

Step-by-step explanation:

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

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa. A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

The closer the correlation value is to 1 the stronger the relationship between the two variables.

Let,

<em>X</em> = car weight

<em>Y</em> = car reliability

<em>Z</em> = annual maintenance cost

It is provided that:

Corr. (X, Y) = -0.30

Corr. (X, Z) = 0.20

The correlation coefficient of car weight and car reliability is negative. This implies that there is a negative relation between the two variables, i.e. as the weight of the car increases the reliability decreases and vice-versa.

And the correlation coefficient of car weight and annual maintenance cost is positive. That is, the two variables move in the same direction, i.e. as the weight of the car increases the annual maintenance cost also increases.

The correlation coefficient value of (X, Y) is closer to 1 than that of (X, Z).

This implies that the relationship between car weight and car reliability is much more stronger that the relationship between car weight and annual maintenance cost.

Thus, all the provided statement are correct.

Hence, the correct option is (b).

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Tatiana [17]
7.750 and 7.7500 are 2 equivalent fractions.

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3 years ago
the width of a rectangle is 3 units less than the length. if the area is 130 square units, then find the dimensions of the recta
Basile [38]

Answer:

Length = 10

Width = 13

Step-by-step explanation:

If the width of a rectangle is 3 units less than the length and if the area is 130 square units, the length is 10 units and the width is 13 units.

Formula: A=wl

Therefore, you have to find what two numbers multiply together in order to recieve 130 units.

A=wl=13·10=130

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3 years ago
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The selling price of a television in a retail store is $66 less than 3 times the wholesale price. If the selling price
Anna71 [15]

Answer:

899 + 66 = 3*X, X being the wholesale price.

 

965 = 3*x -> x = 965/3 -> x = 321.66 (and 2/3 of a cent)

Step-by-step explanation:

5 0
3 years ago
The mean radius of Main Street Park is 15 km and the mean radius of Uptown Park is 8 km. What is the approximate difference in t
Temka [501]

Step-by-step explanation:

circumference= 3.142*diameter

Diameter of main Street park is 30

Diameter of uptown park is 16

3.142*30=94.26

3.142*16=30.272

94.26-30.272=43.988

round off to tenth =44.0km

5 0
2 years ago
The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?
ale4655 [162]
Hi.

Formula for area: A = 2l + 2w, where l is the length and w is the width.

Given information:
• l = 2w - 1
• A = 21 in^2

We can plug in our values accordingly and solve for w.

A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w

Plug 3.83 for w into 2w - 1 to find length.

2(3.83) - 1
7.66 - 1
6.66

Finally, check your work by plugging your values into the original equation.

21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98

Answer:
The length is approximately 6.66 inches.
4 0
3 years ago
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