Thanks. I really cannot figure them out.... :( which one of the following statem

ID: 3133505 • Letter: T

Question

Thanks. I really cannot figure them out.... :(

which one of the following statement is true in reference to any set of paired data?

Athe least squares regression line will always pass through at least one data point.

b) a least squares regression line can always be used safely to predict the value of hat-Y

c)the y value, y, for any point on the least squares regression line can be thought of as a point estimate of y for that value of x, if x is in the original range.

d) all of the above are true

e)none of the above are true

2. how do we know that an error was made, if we are told that there is a correlation of r=0.63 between the height of a basketball player and the position (point guard, center, ets.) that they play.

3. it is observed that the correlation between the length of forearms and height of colloge students was 0.95. Both measurements were made in inches. what would be the correlation if the measurements were converted into feet?

4) A least-squares regression line is found to be y=2+4x and one of the data points is (2, 13) what is the value of the residual at this point? ( show your work)

5) I collect data and create a confidence interval for the true proportion of the population that has a certain property. which of the following would produce a new confidence interval with larger width ( larger margin of errorbased on these same data?

a) use a smaller confidence level

b)use a larger condience level

c) use the same confidence level but compute the interval n times.

d) appromimately 5% of these intervals will be larger.

5) claims of sexual harassment against women in the military have been in the news lately. we wish to estimate the proportion of military women who claim they have been sexually harassed and be within 2% of the acutal value. If we wish to use a 99% confidence level, how big of a sample do we need?

Explanation / Answer

1) IN THIS QUESTION WE NEED TO TELL THE STATEMENTS WHICH ARE TRUE AND IN THIS QUESTION ALL THE 3 STATEMENTS ARE TRUE AND THE OPTION D IS CORRECT, ALL THE POINTS GIVEN ARE THE PROPERTIES OF THE REGRESSION LINE

1) REGRESSION LINE PASS THROGH AT LEAST ONE POINT OF DATA AND CAN ALSO PAS THROUGH ALL IF ITS PERFECT

B) IT IS THE BEST METHOD TO FIND THE PREDICTED VALUE OF Y HAT,

C) Y IS ALWAYS CALCULATED IN RESPONSE OF THE X ONLY

HENCE ALL ARE TRUE.