Asample of 100 women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​ minute) are measured. the linear correlation coefficient is 0.239 and the equation of the regression line is y = 18.5 + 0.890x​, where x represents height. the mean of the 100 heights is 62.9 in and the mean of the 100 pulse rates is 73.4 beats per minute. find the best predicted pulse rate of a woman who is 65 in tall. use a significance level of α=0.01

Step-by-step explanation:

For this case we have a linear model given by:

Where X= represent the height.

Y= represent the beats per minute

And the slope is given by and the intercept

We have the mean for x and y given also

And in order to find the best predicted value we just need to replace the value of X= 65, and we got this:

If we want a confidence interval for the response variable when the predictor variable is x, is given by this formula:

And if we replace we got this:

But for this case since we don't have the deviation we can just express it like this.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

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