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Inga [223]
2 years ago
9

On an international​ exam, students are asked to respond to a variety of background questions. For the 41 nations that participa

ted in the​ exam, the correlation between the percentage of items answered in the background questionnaire​ (used as a proxy for student task​ persistence) and mean score on the exam was . Does this suggest there is a linear relation between student task persistence and achievement​ score? Write a sentence that explains what this result might mean.
Mathematics
1 answer:
melamori03 [73]2 years ago
7 0

On an international​ exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the​ exam, the correlation between the percentage of items answered in the background questionnaire​ (used as a proxy for student task​ persistence) and mean score on the exam was 0.793. Does this suggest there is a linear relation between student task persistence and achievement​ score? Write a sentence that explains what this result might mean.

Answer:

There is a strong positive relationship between student task persistence and achievement score

Step-by-step explanation:

The correlation Coefficient score is used to as a numerical measure to show the strength of relationship or correlation between two linear variables. The correlation score ranges from - 1 to + 1. With positive values depicting a positive relationship and negative values exhibiting a negative relationship between the two variables. The closer the value is to 1 or - 1, the stronger the level of correlation. A correlation value of 0, means no relationship exists between the variables.

The correlation score of 0. 793 is both positive and close to 1. Hence, signifying a strong positive relationship.

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Step-by-step explanation:

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In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!
g100num [7]

the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

Step-by-step explanation:

   x^{3} = - 64

   x^{3} +64  = 0

   We can write 64 as  4^{3}

  x^{3} + 4^{3} = 0

  using the identity  ( x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} ) )

we get,

  = (x+4) (x^{2} -x*4+4^{2} )

  = (x+4)(x^{2} -4x+16)    ....................(1)

 solving the quadratic equation  ,

   x^{2} -4x+16 =0

solutions of this quadratic equation can be obtained by

   x=-b +- \sqrt{b^{2}-4ac } /2a

let use y for factors

x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16}  / 2*x^{2}

x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}

x=4+-\sqrt{16-64}/2

x=4+-4\sqrt{3i} /2

<u />x=2+-2\sqrt{3i}    ..................(2)

from the equation 1 we have,

x-4=0

which gives solution x=4

and from equation 2 we got  x=2+-2\sqrt{3i}

so the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

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Answer:

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Step-by-step explanation:

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