A biologist was interested in the relationship between the ve- locity at which a beluga whale swims and the tail-beat fre- quency of the whale. A sample of 19 whales was studied and measurements were made on swimming velocity, measured in units of body lengths of the whale per second and tail-beat frequency, measured in units of hertz (number of tail beat per second) The following regression output is for predicting the swimming speed of a beluga whale from it's tail-beat frequency. Part of the output is blurred. Coefficients: Estimate Std. Error t value Pr(>lt|) 0.6 0.8 1.0 1.2 1.4 1.6 (Intercept) Tail Beat Frequency (Hertz) ХXXXXXX 0.07075 XXXXX 0.828 frequency XXXXXXX 0.05973 ХXXXX 1.75е-08 *** Here is a summary of the data: Speed (body length/sec) Frequency (Hz) Mean 0.6558 1.1334 SD 0.2267 0.3534 Correlation r 0.9234 Swimming Speed (Body Length per Second) 0.4 0.6 0.8

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A biologist was interested in the relationship between the ve-
locity at which a beluga whale swims and the tail-beat fre-
quency of the whale. A sample of 19 whales was studied and
measurements were made on swimming velocity, measured in
units of body lengths of the whale per second and tail-beat
frequency, measured in units of hertz (number of tail beat per
second) The following regression output is for predicting the
swimming speed of a beluga whale from it's tail-beat frequency.
Part of the output is blurred.
Coefficients:
Estimate Std. Error t value Pr(>|t])
0.6
0.8
1.0
1.2
1.4
1.6
(Intercept)
0.07075
0.828
Tail Beat Frequency (Hertz)
ХXXXXXX
ХXXXX
frequency
ХXXXXXX
0.05973
ХXXXX 1.75е-08 ***
Here is a summary of the data:
Speed (body length/sec) Frequency (Hz)
Mean
0.6558
1.1334
SD
0.2267
0.3534
11
Correlation r2 0.9234
Swimming Speed
(Body Length per Second)
0.4
9'0
0.8
Transcribed Image Text:A biologist was interested in the relationship between the ve- locity at which a beluga whale swims and the tail-beat fre- quency of the whale. A sample of 19 whales was studied and measurements were made on swimming velocity, measured in units of body lengths of the whale per second and tail-beat frequency, measured in units of hertz (number of tail beat per second) The following regression output is for predicting the swimming speed of a beluga whale from it's tail-beat frequency. Part of the output is blurred. Coefficients: Estimate Std. Error t value Pr(>|t]) 0.6 0.8 1.0 1.2 1.4 1.6 (Intercept) 0.07075 0.828 Tail Beat Frequency (Hertz) ХXXXXXX ХXXXX frequency ХXXXXXX 0.05973 ХXXXX 1.75е-08 *** Here is a summary of the data: Speed (body length/sec) Frequency (Hz) Mean 0.6558 1.1334 SD 0.2267 0.3534 11 Correlation r2 0.9234 Swimming Speed (Body Length per Second) 0.4 9'0 0.8
What are the values of a and b that minimize E (yi – a - bx;)², where x; and y; are respectively
(Ъ)
the tail-beat frequency in hertz and swimming speed (in number of its body lengths per second) of the
ith beluga whale in the data? Glen:Eyurtun of the leare sanare regnescion lihei yt•0.010x
Transcribed Image Text:What are the values of a and b that minimize E (yi – a - bx;)², where x; and y; are respectively (Ъ) the tail-beat frequency in hertz and swimming speed (in number of its body lengths per second) of the ith beluga whale in the data? Glen:Eyurtun of the leare sanare regnescion lihei yt•0.010x
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