Each of the following linear equations defines y as a function of x for all integers x from 1 to 100. For which of the following equations id the standard deviation of the y-values corresponding to all the x-values the greatest?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Not the answer you are looking for? Search for more explanations.
It is obviously unpractical to actually calculate the SD for x values 1 to 100. SD is the measure of how spread out values in a set are. In a linear equation, you are going to have a upper and lower limit with all other values falling in between linearly and evenly.
So basically in ambiguous GRE question speak, you are being asked : which of the equations have a higher spread of x values? If you substitute the biggest and smallest value of x in all the equations, you'll see that option E has x values lying between -17 and 280. So it must have the greatest SD.
Hope this makes sense.
Assuming \(X\) is a random integer between 1 and 100.
Standard deviation is the square root of variance. In each of your equations, if \(X\) is the random variable, then a constant \(a\) times \(X\) multiplies the variance by \(a^2\)
This means that the standard deviation is multiplied by \(a\), because standard deviation is the square root of variance.
The variance of a constant is zero, so you can ignore them.
Which \(x\) has the largest constant multiplying it? That is the one with the highest standard deviation.