If a frequency distribution has open-ended intervals at the extremes, which measure of central tendency is the most difficult to estimate?
Answer(s): A
This is so since in a frequency distribution we do not necessarily know what the extreme values are especially in an open ended class. Therefore, the mean, which is very sensitive to extreme values will be difficult to determine.
What is the following table called?Number of Heads Probability of Outcome01/8 = 0.12513/8 = 0.37523/8 = 0.37531/8 = 0.125Total 8/8 = 1.000
Answer(s): C
The table gives both the outcomes and probability of each outcome. Therefore it is a probability distribution table.
What is a disadvantage of the range as a measure of dispersion?
The range uses only the highest and the lowest observations and ignores all the observations in the middle.This may not be indicative of the dispersion if the two extreme observations are outliers.
The expected value of Y is 9 and the expected value of X is 3. If X and Y are uncorrelated and you run a regression of Y against X, the intercept term will equal ________.
Since the correlation is given to be zero, the slope will be zero and hence, R-square will be zero i.e. the variance of the ranking of a trader in one year is not explained to any extent by his ranking in the previous year.Thus, regardless of his ranking in previous year, he is likely to be either "Great" or "Not- great" in this year. His expected score is then equal to 0.5*1 + 0.5*0 = 0.5. The expected value of the dependent variable is equal to the intercept term when slope equals zero (remember this!!)
Given the following points: (-2, 0), (-1,0), (0,1), (1, 1) and (2, 3) What is the Y intercept of the regression line?
For this, you need to create tables with columns for X,Y,XY,X^2,Y' and Y-Y'. This will be as follows.XYXY X^2 Y'Y-Y'-2004-0.40.4-10010.3-0.301001011111.7-0.723642.40.6Sum057100N=5.The regression equation is Y' = a + bX.First, find the slope, which is b, use the formulab = [n(SXY)-(SX)(SY)]/[n(SX^2)-(SX)^2] where S stands for "Sum of." b = [5(0)-(0)(5)]/[5(10)-0]=0.7 The Y intercept is a.a = [S(Y)/n]-b[SX/n]a = 5/5 - 0.7[0/5] = 1.
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