Question
In: Statistics and Probability
Like father, like son: In , the statistician Karl Pearson measured the heights of pairs of...
Like father, like son: In , the statistician Karl Pearson measured the heights of pairs of fathers and sons. The following table presents a sample of pairs, with height measured in inches, simulated from the distribution specified by Pearson.
Father's height
70.8
65.4
65.7
69
73.6
66.7
70.1
68.3
Son's height
69.8
66
70.9
69.1
74.9
68.8
73.3
68.3
Use the TI-84 calculator.
Construct a 95% confidence interval for the slope. Round the answers to at least four decimal places.
Solutions
Expert Solution
| SSE =Syy-(Sxy)2/Sxx= | 25.119 | |
| s2 =SSE/(n-2)= | 4.1865 | |
| std error σ = | =se =√s2= | 2.0461 |
| std error of slope =se(β1) =s/√Sxx= | 0.2771 | |
| sample size : n= | 8 | ||
| for 95 % CI value of t= | 2.447 | (from excel:tinv(0.05,6) | |
| margin of error E=t*std error = | 0.6781 | ||
| lower bound=b1+E= | 0.0835 | ||
| Upper bound=b1+E= | 1.4396 | ||
95 % confidence interval for the slope (0.0835 < ß1 <1.4396)
orchestra answered 1 year agoRelated Solutions
Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs...
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 6pairs,
with height measured in inches, simulated from the distribution
specified by Pearson.
Father's
height
Son's
height
73.6
76.5
69.0
69.1
73.6
74.9
66.7
68.8
70.1
73.3
72.3
71.9
Send data
to Excel
The regression equation is Y = .9834x + 2.7077
Construct a 95% confidence interval for the slope. Round the
answers...
Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs...
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 7pairs,
with height measured in inches, simulated from the distribution
specified by Pearson.
Father's
height
Son's
height
69.0
69.1
66.7
68.8
70.1
73.3
68.3
68.3
70.7
71.0
73.6
76.5
69.3
71.4
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59 60
SON'S HEIGHTS (y) : 61.6 66.7 65.3 61.0
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63.1
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Edward Bloom’s son is candid about the fact that he is an absent
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true or false
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