Exercise 1.2 gives the age x1, measured in years, as well as the selling price x2, measured in thousands of dollars, for n 10 used cars. These data are reproduced as follows: 1 2 3 3 4 5 6 8 9 11 18.95 19.00 17.95 15.54 14.00 12.95 8.94 7.49 6.00 3.99 (a) Use the results of Exercise 1.2 to calculate the squared statistical distances (x, x)'S'(x, x). j = 1,2,..., 10, where x = [1,2]. - (b) Using the distances in Part a, determine the proportion of the observations falling within the estimated 50% probability contour of a bivariate normal distribution. (c) Order the distances in Part a and construct a chi-square plot. (d) Given the results in Parts b and c, are these data approximately bivariate normal? Explain.
Exercise 1.2 gives the age x1, measured in years, as well as the selling price x2, measured in thousands of dollars, for n 10 used cars. These data are reproduced as follows: 1 2 3 3 4 5 6 8 9 11 18.95 19.00 17.95 15.54 14.00 12.95 8.94 7.49 6.00 3.99 (a) Use the results of Exercise 1.2 to calculate the squared statistical distances (x, x)'S'(x, x). j = 1,2,..., 10, where x = [1,2]. - (b) Using the distances in Part a, determine the proportion of the observations falling within the estimated 50% probability contour of a bivariate normal distribution. (c) Order the distances in Part a and construct a chi-square plot. (d) Given the results in Parts b and c, are these data approximately bivariate normal? Explain.
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Chapter1: Units, Trigonometry. And Vectors
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![Exercise 1.2 gives the age x1, measured in years, as well as the selling price x2, measured
in thousands of dollars, for n 10 used cars. These data are reproduced as follows:
1
2
3
3 4 5 6 8 9 11
18.95 19.00 17.95 15.54 14.00 12.95 8.94 7.49 6.00 3.99
(a) Use the results of Exercise 1.2 to calculate the squared statistical distances
(x, x)'S'(x, x). j = 1,2,..., 10, where x = [1,2].
-
(b) Using the distances in Part a, determine the proportion of the observations falling
within the estimated 50% probability contour of a bivariate normal distribution.
(c) Order the distances in Part a and construct a chi-square plot.
(d) Given the results in Parts b and c, are these data approximately bivariate normal?
Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd9704d2-a72a-41b8-bc5a-671e1dcdd1b6%2F0b7e2efc-90bc-4456-9ac9-2038f7d742d0%2Fg7rojuan_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 1.2 gives the age x1, measured in years, as well as the selling price x2, measured
in thousands of dollars, for n 10 used cars. These data are reproduced as follows:
1
2
3
3 4 5 6 8 9 11
18.95 19.00 17.95 15.54 14.00 12.95 8.94 7.49 6.00 3.99
(a) Use the results of Exercise 1.2 to calculate the squared statistical distances
(x, x)'S'(x, x). j = 1,2,..., 10, where x = [1,2].
-
(b) Using the distances in Part a, determine the proportion of the observations falling
within the estimated 50% probability contour of a bivariate normal distribution.
(c) Order the distances in Part a and construct a chi-square plot.
(d) Given the results in Parts b and c, are these data approximately bivariate normal?
Explain.
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