1. if you have access to spss, compute the shapiro-wilk test of normality for the variable age (as demonstrated in exercise 26). if you do not have access to spss, plot the frequency distributions by hand. what do the results indicate? 2. state the null hypothesis where age at enrollment is used to predict the time for completion of an rn to bsn program. 3. what is b as computed by hand (or using spss)? 4. what is a as computed by hand (or using spss)? 332 5. write the new regression equation. 6. how would you characterize the magnitude of the obtained r2 value? provide a rationale for your answer. 7. how much variance in months to rn to bsn program completion is explained by knowing the student's enrollment age? 8. what was the correlation between the actual y values and the predicted y values using the new regression equation in the example? 9. write your interpretation of the results as you would in an apa-formatted journal. 10. given the results of your analyses, would you use the calculated regression equation to predict future students' program completion time by using enrollment age as x? provide a rationale for your answer.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: