4. This question pertains to the article, “On the Optimality of Line Call Challenges in Professional Tennis," by Abramitzky et al. (2012). Use the table below to answer (i)-(ii). (i) Explain why the difference in match win probabilities is significant. (ii) Explain why the number of challenges remaining in the set is significant. (iii) On what basis did the authors conclude that players challenge too few calls? 100 if Challenge Won, O if Lost (1) (2) Dependent Variable (3) Importance Difference in match win probabilitiesb -0.630*** -–0.531*** -0.550** (0.163) (0.195) (0.240) Option value Challenges remaining in the set -4.729* -4.819* -14.813*** (2.997) (2.465) (2.434) Expected number of points left in setb 0.177*** 0.141* 0.075 (0.125) (0.060) (0.079) Additional controls Match fixed-effects (479 unique matches) no yes yes no yes 1,973 no Number of observations 2,008 1,973 0.024 R-squared 0.013 0.032

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4. This question pertains to the article, “On the Optimality of Line Call Challenges in
Professional Tennis," by Abramitzky et al. (2012). Use the table below to answer (i)-(ii).
(i) Explain why the difference in match win probabilities is significant.
(ii) Explain why the number of challenges remaining in the set is significant.
(iii) On what basis did the authors conclude that players challenge too few calls?
Transcribed Image Text:4. This question pertains to the article, “On the Optimality of Line Call Challenges in Professional Tennis," by Abramitzky et al. (2012). Use the table below to answer (i)-(ii). (i) Explain why the difference in match win probabilities is significant. (ii) Explain why the number of challenges remaining in the set is significant. (iii) On what basis did the authors conclude that players challenge too few calls?
100 if Challenge Won, O if Lost
(1)
(2)
Dependent Variable
(3)
Importance
Difference in match win probabilitiesb
-0.630*** -–0.531***
-0.550**
(0.163)
(0.195)
(0.240)
Option value
Challenges remaining in the set
-4.729*
-4.819*
-14.813***
(2.997)
(2.465)
(2.434)
Expected number of points left in setb
0.177***
0.141*
0.075
(0.125)
(0.060)
(0.079)
Additional controls
Match fixed-effects (479 unique matches)
no
yes
yes
no
yes
1,973
no
Number of observations
2,008
1,973
0.024
R-squared
0.013
0.032
Transcribed Image Text:100 if Challenge Won, O if Lost (1) (2) Dependent Variable (3) Importance Difference in match win probabilitiesb -0.630*** -–0.531*** -0.550** (0.163) (0.195) (0.240) Option value Challenges remaining in the set -4.729* -4.819* -14.813*** (2.997) (2.465) (2.434) Expected number of points left in setb 0.177*** 0.141* 0.075 (0.125) (0.060) (0.079) Additional controls Match fixed-effects (479 unique matches) no yes yes no yes 1,973 no Number of observations 2,008 1,973 0.024 R-squared 0.013 0.032
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