Calculate a 95% confidence interval for the slope of the regression line for predicting the swimming speed of a beluga whale from its tail beat frequency. Predict the tail beat frequency of a beluga whale when its swimming speed is 1 body length per second using linear regression. If the tail beat frequency is measured in number of beats per minute rather than in number of beats per second, what will be the correlation between swimming speed and tail beat frequency? 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 andmeasurements were made on swimming velocity, measured inunits of body lengths of the whale per second and tail-beatfrequency, measured in units of hertz (number of tail beat persecond) The following regression output is for predicting theswimming 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])0.60.81.01.21.41.6(Intercept) XXXXXXXTail Beat Frequency (Hertz)0.07075XXXXX0.828frequencyХXXXXXX0.05973ХXXXX 1.75е-08 ***Here is a summary of the data:Speed (body length/sec) Frequency (Hz)Мean0.65581.133411SD0.22670.353416Correlation r 2 0.9234Swimming Speed(Body Length per Second)0.40.60.8

The standard form of simple linear regression equation is y^=a+bx, where a is the intercept and b is…

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College Algebra

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ISBN:9781938168383

Author:Jay Abramson

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Chapter4: Linear Functions

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Calculate a 95% confidence interval for the slope of the regression line for predicting the swimming speed of a beluga whale from its tail beat frequency. Predict the tail beat frequency of a beluga whale when its swimming speed is 1 body length per second using linear regression.

If the tail beat frequency is measured in number of beats per minute rather than in number of beats per second, what will be the correlation between swimming speed and tail beat frequency?

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) XXXXXXX
Tail Beat Frequency (Hertz)
0.07075
XXXXX
0.828
frequency
ХXXXXXX
0.05973
ХXXXX 1.75е-08 ***
Here is a summary of the data:
Speed (body length/sec) Frequency (Hz)
Мean
0.6558
1.1334
11
SD
0.2267
0.3534
16
Correlation r 2 0.9234
Swimming Speed
(Body Length per Second)
0.4
0.6
0.8

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