A 100-point DFT is applied on a 250 Hz cosine waveform that was sampled at 1000 Hz. Give the magnitude of X(k) for k=0,1,..,99.

A data scientist uses regression to generate the equation below that will predict how temperature affects the thermal expansion of copper.  Based on this equation, if the value for “Kelvin” is 550, what would be the predicted value for “expansion”?  

The carrier signal in the sound morphing project in the frequency domain consists of

An online retailer wants to understand why their website is slower than that of a competitor.  As they analyze website load times from the last month, they notice that the correlation coefficient between two variables in the data — “page size (kB)” and “load time (seconds)” — is 0.68.  This would indicate which of the following:

A hospital wants to understand the factors that impact patient flow into its emergency room.   As they analyze data about patient visits from the last year, they notice that the correlation coefficient between two variables — “number of patients” and “amount of precipitation (rain)” — is 0.04.  This would indicate which of the following: 

Consider the dataset D = [A,A,B,C]. The dataset D’ = [A,A,A,A] is a possible bootstrap replication of D.

You manufacture a particular bicycle part and measure lengths for a random sample of 50 parts.  The mean of the sample is 3.8 inches and the standard deviation is 0.27.  In this scenario, which of the following values represent the low end of the 95% confidence interval?

You want to better understand rent prices for apartments in New York City, so you take gather data for a random sample of 75 apartments.  The mean of the sample is $3,201, and the standard deviation is $175.  In this scenario, which of the following values represent the high end of the 90% confidence interval?

During the design of a new missile-defense system, we identify three suppliers of a particular part and want to compare how well those parts perform in key areas.  After we evaluate samples, we could use which of the following hypothesis tests to conduct the comparison?  (Assume the sample datasets follow a normal distribution.)

All of the following are properties of a “good” estimator except: