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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?
- Write the null and alternative hypotheses.
- What type of tailed test is this?
- 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.)
- Find the regression line equation. (Round to four decimal places.) Fill in =_________ + ________ x.
- Make a decision about the null hypothesis. We __________________________ the null hypothesis because _____________________________________________________________________________________ .
- Conclusion Paragraph. There ____________ enough evidence to conclude that _____________________ is useful in predicting ____________________________.
Prediction Question
- 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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