A regression model relating the logValue of a state's annual lobster catch to the number of licensed lobster Dependent variable is: LogValue fishers is shown to the right. Complete parts a and b. R-squared = 20.1% R-squared (adjusted) = 18.6% s = 0.4459 with 55 - 2 = 53 degrees of freedom Variable Coeff Intercept 5.71597 Fishers SE(Coeff) 0.3327 0.0000 P-value 17.2 50.0001 3.71 t-ratio 1.41805e - 4 0.0005 a) The number of licensed lobster fishers has fluctuated over the years between roughly 5000 and 10,000. Recently the number has been just over 7000. But licenses are in demand (and tightly restricted). What does the model predict the value of the catch would be in a year if there were 8500 licensed fishers? (Take care to interpret the coefficient correctly and to compute the inverse of the log transformation.) The model predicts that if there were 8500 licensed fishers, then the value of the catch in a year would be million. (Round to the nearest million as needed.)

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A regression model relating the logValue of a state's annual lobster catch to the number of licensed lobster Dependent variable is: LogValue
fishers is shown to the right. Complete parts a and b.
R-squared = 20.1% R-squared (adjusted) = 18.6%
s = 0.4459 with 55 - 2 = 53 degrees of freedom
Variable Coeff
Intercept 5.71597
Fishers
SE(Coeff)
t-ratio
P-value
s0.0001
0.0005
0.3327
17.2
1.41805e-4
0.0000
3.71
a) The number of licensed lobster fishers has fluctuated over the years between roughly 5000 and 10,000. Recently the number has been just over 7000. But licenses
are in demand (and tightly restricted). What does the model predict the value of the catch would be in a year if there were 8500 licensed fishers? (Take care to interpret
the coefficient correctly and to compute the inverse of the log transformation.)
The model predicts that if there were 8500 licensed fishers, then the value of the catch in a year would be
million. (Round to the nearest million as needed.)
Transcribed Image Text:A regression model relating the logValue of a state's annual lobster catch to the number of licensed lobster Dependent variable is: LogValue fishers is shown to the right. Complete parts a and b. R-squared = 20.1% R-squared (adjusted) = 18.6% s = 0.4459 with 55 - 2 = 53 degrees of freedom Variable Coeff Intercept 5.71597 Fishers SE(Coeff) t-ratio P-value s0.0001 0.0005 0.3327 17.2 1.41805e-4 0.0000 3.71 a) The number of licensed lobster fishers has fluctuated over the years between roughly 5000 and 10,000. Recently the number has been just over 7000. But licenses are in demand (and tightly restricted). What does the model predict the value of the catch would be in a year if there were 8500 licensed fishers? (Take care to interpret the coefficient correctly and to compute the inverse of the log transformation.) The model predicts that if there were 8500 licensed fishers, then the value of the catch in a year would be million. (Round to the nearest million as needed.)
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