Question:

Please answer the following question clearly, thank you.

1. Quarterly party bookings at Terrace Events been recorded as follows.

a) Compute the seasonal quarterly indexes given the regression line: y = 3 + 4t YEAR Quarter t Yt y Ratio Quarters

2019 1 4

2 7

3 14

4 8

2020 1 5

2 3

3 10

4 6

b) Use the seasonal quarterly index to de-seasonalize the time series.

YEAR Quarter t Yt SQL Seasonally adjusted time series

2019 1

2

3

4

2020 1

2

3

4

c) Use the regression line: y= 3 + 4t and the seasonal quarterly indexes to forecast Terrace Events' party bookings for all quarters of 2021.

YEAR Quarter t y SQL Forecast

2021 1

2

3

4

1. Kolmogorov and Smirnov have some dental data and want to test the hypothesis that the data came from a two-parameter Pareto distribution with shape parameter 5 and scale parameter 100. They have five observations: 25.1, 37.2, 40.3, 50.6, 75.2. Using the Kolmogorov-Smirnov test, choose one of the following: (A) Do not reject Ho at the 0.10 significance level; (B) Reject Ho at the 0.10 significance level, but not at the 0.05 significance level; (C) Reject Ho at the 0.05 significance level, but not at the 0.025 significance level; (D) Reject Ho at the 0.025 significance level, but not at the 0.01 significance level; (E) Reject Ho at the 0.01 significance level. The critical values for the Kolmogorov-Smirnov test, where n denotes the sample size, are: Significance Level | 0.10 | 0.05 | 0.025 0.01 Critical Value 1.22(b) The ANOVA table below shows the result of an experiment using randomized complete block design. Source d.f. Treatment 498 Block M ND Error 108 Total 662 Using a = 0.05, test to determine whether there is sufficient evidence to indicate differences among, treatment means, block means .An experiment was performed to investigate the effectiveness of three insulating materials. Three samples of each material were tested at an elevated voltage level to accelerate the time to failure, and it was already known that batches of raw material have some effects on the failure time. As a result, a randomized complete block design (RCBD) was considered, and the failure times (in minutes) after randomization is shown below. Block Material 1 2 3 143 141 150 05 NO P 152 149 137 134 136 132 (a) Construct a randomized complete block design, i.e. determine the orders of the runs. (b) Construct the ANOVA table. Do all three materials have the same effect on mean failure time at the 5% significance level? (c) Suppose that all three blocks were also randomly selected. Is there any strong evidence of a difference between batches?Which of the following are true of binary classication/ regression trees? i. Bagging decision trees is likely to increase the model variance. ii. The deeper the decision tree is, the more likely it is to overt. iii. They are robust to small changes in the data. iv. Random forests are less likely to overt than decision trees