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The State Department of Taxation wishes to investigate the effect of experience, x, on the amount of time, y, required to fill out Form ST 1040AVG, the state income-averaging form. In order to do this, nine people whose financial status makes income averaging advantageous are chosen at random. Each is asked to fill out the form and report (1) the time y (in hours) required to complete the form and (2) the number of times x (including this one) that he or she has filled out this form. The following data are obtained:
Completion time, 8.0 4.7 3.7 2.8 8.9 5.8 2.0 1.9 3.3
y (in hours)
Experience, x 1 8 4 16 1 2 12 5 3
A model of these data is shown below:
y = βo + β1 (1/x) + €
a) Plot y versus x, with y being the vertical axis.
b) Plot y versus 1/x, with y being the vertical axis. Does this plot support the given simple linear regression model for y? If your answer is yes, what is the dependent variable and what is the independent variable?
The cornlnunalities h j represent the fraction of the total variance' 'accounted for of variabie j. Ry calculating the communalities we can keep track of how much of-the orig
Stratified Sampling Stratified Sampling is generally used when the population is heterogeneous. In this case, the population is first subdivided into several parts (or s
Properties of correlation
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For calculating the mode of the grouped data graphically, the following procedure is adopted. Draw a histogram of the data; the modal class is the tallest rectangle.
Evaluate Gross Reproduction Rate: From the data given below compute : i) General Fertility Rate ii) Specific Fertility Rate iii) Total Fertility Rate iv)
#quesgraphical representation of data
The box plot displays the diversity of data for the age; the data ranges from 19 being the minimum value and 60 being the maximum value. The box plot is positively skewed at 0.57 a
Grouped Data For calculating mode from a frequency distribution, the following formula Mode = L mo + x W where,
Ten balls are put in 6 slots at random.Then expected total number of balls in the two extreme slots
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