Linear Regression 1.)
6. A dating service calculates a score for paired couples from 0 (won't last beyond first date) to 3 (marriage
is most likely). The company wants to determine if their formula for love is working. The following is data
with number of days relationship lasted:
Love
2.3 1.9 2.0 1.5 1.7 1.6 1.8 1.0 0.3
Score
Duration 92 92 96 100 102 102
106 106 121 143
in days
a) Construct a scatterplot of the data. Do you think the LSR line will give accurate predictions? Why
or why not?
b) Determine the LSR equation and the value ofr Interpret slope
in the context of the problem.
c) What duration would be predicted if the love score was 2 2?
d) What love score would be predicted if the duration time was 101 days?
e) Examine the residual plot. Does there seem to be any outliers or influential observations? If so,
indicate them
Delete these outliers or influential observation(s), and recalculate the regression line,
B) Redraw the residula plou Have this improved? Explain
h) Was the deleted points), an outlier or influential? Support your response with a reason
2.)
Pass the Problem - Linear Functions and Transformations