Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 6 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 69.3 71.4 66.7 68.8 70.7 71.0 65.7 70.9 72.4 69.1 65.4 66.0 Send data to Excel =bo+b,x=50.5230 + 0.2781x and E (x- x)´ = 41.2733 are known for this data. Use the critical value method to test The least-squares regression line Ho:B,=0 versus H, : B, #0. Can you conclude that the father's height is useful in predicting the son's height? Use the a= 0.01 level of significance. Part 1 of 4 Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. DEC 10 F10

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Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 6
pairs, with height measured in inches, simulated from the distribution specified by Pearson.
Father's
Son's
height
height
69.3
71.4
66.7
68.8
70.7
71.0
65.7
70.9
72.4
69.1
65.4
66.0
Send data to Excel
= 41.2733 are known for this data. Use the critical value method to test
The least-squares regression line y = bo+b,x=50.5230+0.2781x and E (x-.
H:B,=0 versus H, : B, #0. Can you conclude that the father's height is useful in predicting the son's height? Use the a=0.01 level of significance.
Part 1 of 4
Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas.
DEC
10
MacBook
DII
DD
F10
888
F8
F9
F7
Transcribed Image Text:Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 6 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 69.3 71.4 66.7 68.8 70.7 71.0 65.7 70.9 72.4 69.1 65.4 66.0 Send data to Excel = 41.2733 are known for this data. Use the critical value method to test The least-squares regression line y = bo+b,x=50.5230+0.2781x and E (x-. H:B,=0 versus H, : B, #0. Can you conclude that the father's height is useful in predicting the son's height? Use the a=0.01 level of significance. Part 1 of 4 Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. DEC 10 MacBook DII DD F10 888 F8 F9 F7
The least-squares regression line y = b,+b,x=50.5230 +0.2781x and E (x – x)
H:B,=0 versus H : B,#0. Can you conclude that the father's height is useful in predicting the son's height? Use the a=0.01 level of significance.
=41.2733 are known for this data. Use the critical value method to test
Part 1 of 4
Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas.
Critical value(s):
-4.604, 4.604
Part: 1/ 4
Part 2 of 4
Compute the test statistic. Always round t-score values to three decimal places.
t =
DEC
10
...
MacBook Air
888
F9
F7
F5
F2
F3
F4
Transcribed Image Text:The least-squares regression line y = b,+b,x=50.5230 +0.2781x and E (x – x) H:B,=0 versus H : B,#0. Can you conclude that the father's height is useful in predicting the son's height? Use the a=0.01 level of significance. =41.2733 are known for this data. Use the critical value method to test Part 1 of 4 Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): -4.604, 4.604 Part: 1/ 4 Part 2 of 4 Compute the test statistic. Always round t-score values to three decimal places. t = DEC 10 ... MacBook Air 888 F9 F7 F5 F2 F3 F4
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