Below is a scatterplot of data about several European Churches. We plot the relationship between the volume of a church (how much space is inside, measured in m^3), versus the reverberation time (how long an echo lasts, measured in seconds).What are the units of the slope?secondscubic meters per secondcubic metersseconds per cubic meterCorrectWhich do you think best estimates the value of the slope?200011/20001/2IncorrectWhat are the units of the y-intercept?seconds per cubic metercubic meterscubic meters per secondsecondsCorrectWhich do you think best estimates the value of the y-intercept (hint: be careful and look closely at the graph)?2000142IncorrectWhich value do you think best estimates the correlation?10.20-0.70.7
Question
Below is a scatterplot of data about several European Churches. We plot the relationship between the volume of a church (how much space is inside, measured in m^3), versus the reverberation time (how long an echo lasts, measured in seconds).What are the units of the slope?secondscubic meters per secondcubic metersseconds per cubic meterCorrectWhich do you think best estimates the value of the slope?200011/20001/2IncorrectWhat are the units of the y-intercept?seconds per cubic metercubic meterscubic meters per secondsecondsCorrectWhich do you think best estimates the value of the y-intercept (hint: be careful and look closely at the graph)?2000142IncorrectWhich value do you think best estimates the correlation?10.20-0.70.7
Solution
The units of the slope are seconds per cubic meter.
The best estimate for the value of the slope cannot be determined without the scatterplot.
The units of the y-intercept are seconds.
The best estimate for the value of the y-intercept cannot be determined without the scatterplot.
The best estimate for the correlation cannot be determined without the scatterplot.
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