Question

The following table gives the heights and corresponding batting averages for a sample of 12 professional...

The following table gives the heights and corresponding batting averages for a sample of 12 professional baseball players.

Height

(In inches)

70

73

73

71

68

76

71

75

73

73

75

73

Batting

Average

.248

.273

.245

.202

.304

.349

.226

.250

.233

.273

.237

.229

A. Calculate the correlation coefficient.

B. Is the correlation coefficient statistically significant at the .05 level? At the .01 level?

C. Should a regression line be used to model the data and make predictions? Why or why not?

Explain steps please.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a) From the given data

S.NO. Height Batting X^2 Y^2 XY
1 70 0.248 4900 0.061504 17.36
2 73 0.273 5329 0.074529 19.929
3 73 0.245 5329 0.060025 17.885
4 71 0.202 5041 0.040804 14.342
5 68 0.304 4624 0.092416 20.672
6 76 0.349 5776 0.121801 26.524
7 71 0.226 5041 0.051076 16.046
8 75 0.25 5625 0.0625 18.75
9 73 0.233 5329 0.054289 17.009
10 73 0.273 5329 0.074529 19.929
11 75 0.237 5625 0.056169 17.775
12 73 0.229 5329 0.052441 16.717
Total: 871 3.069 63277 0.80 222.938

b)

c)

The regression line is not suitble for the given data since the population correlation coefficient is zero

ie. X and Y are independent  

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