Q1)A computer rating service is commissioned to rank the top 3 brands of flat-screen LCD monitors. A total of 10 brands are to be included in the study.Based on the above information, in how many different ways can the computer rating service arrive at the final ranking?

a.604,800

b.120

c.720

d.100,800

Q2)A linear trend line was fitted to a deseasonalised set of quarterly data for 2020. From the equation of the trend, we see thatthe values of the intercept and slope are 240 and 16.6, respectively. The normalised seasonal indices for the first three quarters are 1.4, 0.8 and 1.2, respectively.

Based on this information, the seasonally adjusted forecast value for the fourth quarter of 2020 is _____. Note: Y is deseasonalised data and X is quarter number (coded 1, 2, 3 and 4).

a.183.84

b.306.40

c.1041.76

d.249.96

Q3)In regression analysis, if the coefficient of determination is equal to 1, then the ___________.

a.regression sum of squares must be 1

b.regression sum of squares must be 0

c.error sum of squares must be 1

d.error sum of squares must be 0

Q4)Suppose that you run a simple linear regression of Y on X based on a sample of 50 observations. The Y-intercept of the regression line is -4 and the slope is 3. If the fifth data point in your sample was X = 3 and Y = 7, what would the residual be for this data point?

1. a.5
2. b.-5
3. c.-2
4. d.2

Q5)Suppose the research department of a steel manufacturer believes that one of the company's rolling machines is producing sheets of steel of varying thickness. The thickness X is a uniform distribution variable with values between 140 and 180 millimeters. Any sheet less than 150 millimeters thick must be scrapped, since they are unacceptable to buyers. Based on the above information, what is the probability of steel sheets produced by this machine that have to be scrapped?

a.0.025

b.0.25

c.0.020

d.0.20