Consider the following time series Quarter Year1 Year2 Year3
1 71 68 62
2 49 41 51
3 58 60 53
4 78 81 72
a. construct a time series plot. what type of pattern exist in the data
b. use the following dummy variables to develop an estimated regression equation to account for the seasonal effects in the data; Qtr1=1 if Quater 1,0 otherwise Qtr2=1 if Quater 2,0 otherwise Qtr3=1 if Quater 3,0 otherwise
c. compute the quarterly forecast for next year

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

The distance of a chord from the centre of a circle is 12cm and the lenght of the chord is 10cm. find the radius of the circle

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.