Question: A regression equation that describes the relationship between the time spent writing a paper (y) in hours and length of paper (x) in pages is found below.

The regression equation of the line is: Time = 1.3 + 1.2 Length

a. Interpret the slope in terms of how time spent writing a paper changes as length of paper increases. Be specific.

b. Does the y-intercept have a logical interpretation in the context of this problem? (Hint: use Figure A.4 to help make this decision.) Explain.

c. Use the regression plot found below (Figure A.4) to predict approximately how long it would take to finish a paper that is 10 pages in length. Do not use the equation.

d. Can the regression equation be used to predict how long it would take to complete a paper that is 40 pages in length? Explain.

e. The correlation between the two variables is .917 with a p-value of .0004. What conclusion can be made about the relationship between length of paper and amount of time it takes to complete a paper?

f. Suppose the point (x, y) = (25 pages, 35 hours) was removed from the regression plot found below. Would the correlation stay the same, increase, or decrease? Explain.