What is the estimated variance of random errors

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Rental car company wants to investigate whether the type of car rented affects the length of the rental period. An experiment is run for one week at a particular location, and 10 rental contracts are selected at random for each car type. The results are shown in the following table.
Type of Car Observations

Sub-compact 3 5 3 7 6 5 3 2 1 6
Compact 1 3 4 7 5 6 3 2 1 7
Midsize 4 1 3 5 7 1 2 4 2 7
Full Size 3 5 7 5 10 3 4 7 2 7

(a) Construct the ANOVA table. Is there evidence to support a claim that the type of car rented affects the length of the rental contract? Use α = 0.05.

(b) What is the estimated variance of random errors?

(c) Analyze the residuals from this experiment and comment on the model adequacy.

(d) Notice that the response variable in this experiment is a count. Someone suggests to apply the square root transformation to the response ~y = √y. Redo the analysis using the transformed responses ~y. What is your result?

Reference no: EM133761408

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