question archive The response time of a web server (in milliseconds) is found to depend on the number of concurrent requests it is processing and the amount of available disk space

The response time of a web server (in milliseconds) is found to depend on the number of concurrent requests it is processing and the amount of available disk space

Subject:MathPrice: Bought3

The response time of a web server (in milliseconds) is found to depend on the number of concurrent requests it is processing and the amount of available disk space. The following observations of the response time of the server were recorded.

Response Time (ms) # of concurrent requests Available disk space (GB)

2250 80 7

2344 93 6

2426 100 5

2293 82 3

2368 99 7

2309 86 6

(a) Construct a linear regression model to describe the dependence of the response time on the number of concurrent requests and the available disk space.

(b) At 95% confidence level, test the hypothesis that the available disk space impacts the response time, given that the # of concurrent requests is known to be one of the influential variables. 

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