The data set in DS 12.11.10 shows the size of some files and the times that they

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The data set in DS 12.11.10 shows the size of some files and the times that they took to download from a website. A linear regression model is used to analyze the data with size as the input variable and time as the output variable.
(a) Find β^0,β^1, and σ^2
(b) Perform the hypothesis test to assess whether it is a significant regression.
(c) What is the expected download time for a file of size 6.00?
(d) What is the value of R2?
(e) Calculate a 95% prediction interval for the downloading time of a file of size 6.00.
(f) What is the residual for the data point (4.56, 103)'.'
(g) What is the correlation between size and time?
(h) Can you predict the downloading time of a file of size 0.40?
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