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Using the data below answer the following questions and test the claim that height and wingspan are positively correlated at the = 0.05 significance level.

Using the data below answer the following questions and test the claim that height and wingspan are positively correlated at the = 0.05 significance level. Then, answer the question, is the height of a person useful in predicting the wingspan of a person?

  1. Write the null and alternative hypotheses.
  2. What type of tailed test is this?
  3. Place the data into L1 and L2 in your calculator. Describe which statistical test you used. What is the test statistic, p-value, and the linear correlation coefficient? (Round to four decimal places.)
  4. Find the regression line equation. (Round to four decimal places.) Fill in =_________ + ________ x.
  5. Make a decision about the null hypothesis. We __________________________ the null hypothesis because _____________________________________________________________________________________ .
  6. Conclusion Paragraph. There ____________ enough evidence to conclude that _____________________ is useful in predicting ____________________________.

Prediction Question

  1. Based on the regression equation, predict the wingspan of a person with a height of 64.5 inches. Show your work. Round to one decimal place.

*MUST SHOW ALL WORK*

Heights (x) Wingspan (y)
63 65
72 73
63.5 61
72 68
64.5 64.25
64 66
62 63
55 57
69 70
72 73
63 64
69 68
64.25 64.75
65 67
63 64
64 65
71.25 74.5
68 70
65 62
70 72
64 61
64.5 63
58 55
63 62
69.25 70.75
64 69.5
71.75 73.5
69 71
71 74

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