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nata0808 [166]
2 years ago
6

Ikeoluwa collected data on whether 656565 professional golfers have practiced for at least 10{,}00010,00010, comma, 000 hours in

their career and whether they have won a major championship. The Venn diagram below shows her data.

Mathematics
1 answer:
vazorg [7]2 years ago
4 0

Answer:

<em>Table shown in the image below</em>

Step-by-step explanation:

<u>Venn Diagram </u>

It's a graphic representation of the elements who belong or not to different sets. In a two-set diagram (A and B), four zones are highlighted: Elements belonging to A alone, to B alone, to both of them, and to none of them. There are many other possible logic combinations to show relationships between the elements.

In the Venn Diagram shown in the question, we can see:

  • 14 golfers have practiced for at least 10,000 hours but haven't won a major championship
  • 8 golfers have won a major championship but haven't practiced for at least 10,000 hours
  • 37 golfers have won a major championship AND have practiced for at least 10,000 hours
  • 6 golfers haven't done any of the above.

We need to complete the two-way frequency table with the following requirements for each cell where both conditions cross

  • How many golfers have won a major championship AND have practiced for at least 10,000 hours? The answer has been already found in our analysis of the Venn Diagram: 37 golfers
  • How many golfers have NOT won a major championship AND have practiced for at least 10,000 hours? We need to look outside the red circle but inside the blue circle. The answer has also been answered by looking directly to the diagram: 14 golfers
  • How many golfers have won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle but inside the red circle. The answer has also been answered by looking directly to the diagram: 8 golfers
  • How many golfers have NOT won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle and outside of the red circle. The answer is also found by looking directly to the diagram: 6 golfers

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A law school administrator was interested in whether a student's score on the entrance exam can be used to predict a student's g
frutty [35]

Answer:

The correlation coeffcient for this case was provided:

r =0.934

And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .

We can also find the r^2 who represent the determination coefficient and we got:

r^2 = 0.934^2= 0.872

And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

The correlation coeffcient for this case was provided:

r =0.934

And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .

We can also find the r^2 who represent the determination coefficient and we got:

r^2 = 0.934^2= 0.872

And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables

8 0
1 year ago
On a number​ line, the coordinates of​ X, Y,​ Z, and W are ​, ​, ​, and ​, respectively. Find the lengths of the two segments be
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Complete Question:

On a number​ line, the coordinates of​ X, Y,​ Z, and W are −8​, −5​, 4​, and 6​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. \overline{XY} and \overline{ZW}

Answer:

\overline{XY} = 3

\overline{ZW} = 2

They are not congruent

Step-by-step explanation:

Length of segment XY:

Coordinate of X = -8

Coordinate of Y = -5

\overline{XY} = |-8 -(-5)| = |-8 + 5| = 3

Length of ZW:

Coordinate of Z = 4

Coordinate of W = 6

\overline{ZW} = |4 - 6| = 2

\overline{XY} ≠ \overline{ZW}, therefore, they are not congruent.

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