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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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2. Four less than six times a number is 32. Write and solve an equation.
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Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

    <u>+4   + 4</u>

6x  =    36

Now we divide 6 into both sides of the equation to single out the x.

<u>6x = 36</u>

6      6

36/6 = 6, so:

x = 6

I hope that this helps.

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