23. Find the correlation between weight and price.
24. Find the standard deviation of weight.
25. Predict the price of a diamond that weighs 1/3 of a carat.
26. Find the coefficient of determination for this problem. (No need to interpret.)
27. Write down one ordered pair (x, y) that lies on the regression line and does not fall
outside the range of the data collected.
For #2830 use the following regression analysis output.
Coefficients
Standard Error
t Stat
Pvalue
Lower 95%
Upper 95%
Lower 95.0%
Up
Intercept
0.4
0.90396 0.442498 0.681004
2.10979
2.909794
2.10979
X Variable
0.885714
0.232115 3.815836 0.018845
0.241259
1.53017
0.241259
28. Find the equation of the bestfitting regression line.
29. On HW 3 you found the predicted values and residuals (errors) for a small data set,
using the results of the regression analysis shown above.
Repeat that process by
filling in the blanks shown on the answer sheet for the data set given there. Show all
work.
30. Now find the SSE for the data set described in Problem 29. Your answer should be a
single number.
5
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For 3137.
A random sample of a certain number of shoppers was taken, and the amount
of money spent (in dollars) by each shopper was recorded. Descriptive statistics and a
histogram are shown below. Use this information to answer the following questions.
Include proper units. No need to explain your answers.
31. How many shoppers were included in the sample?
32. What value best
represents the center for this data set?
33. What value best
represents the variation (spread, diversity) of this data set?
34. What is an appropriate label for the Xaxis for the histogram? Your answer must be in
the context of the problem and no more than 3 words.
35. What is an appropriate label for the Yaxis for the histogram? Your answer must be in
the context of the problem and no more than 3 words.
36. If every shopper spent exactly twenty dollars more next time, what would be the
median amount of money spent?
37. If every shopper spent exactly twenty dollars more next time, what would be the
standard deviation of the amount of money spent?
Descriptive Statistics: Dollars Spent
Mean
34.7022
Median
27.855
Standard Deviation
21.69739844
Range
90.23
Minimum
3.11
Maximum
93.34
Q1
19.5
Q3
45.4
RECORD ALL YOUR WORK ON THE ANSWER SHEET.
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 Winter '12
 Johnson
 Statistics, Regression Analysis, Standard Deviation, Errors and residuals in statistics

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