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My Notes Ask Your Teacher 2. O 210 points I Previous Answers Bakistats 23 E 034.

ID: 3228272 • Letter: M

Question

My Notes Ask Your Teacher 2. O 210 points I Previous Answers Bakistats 23 E 034. Measuring tree height is not an easy task. How well might trunk diameter predict tree height? A survey of 958 live trees in an old-growth forest in Canada answered this question. Here is part of the Minitab output based on these data for regressing height on diameter, both in centimeters (cm), along with prediction for a tree having a diameter of 50 cm. Coef SE Coef Predictor 000 0.1677 15.92 2.6696 Constant 0.550940 005058 108.93 0.000 Diameter s 3.67427 R-sq 92.55 R-sq (adj) 92.5f New 956 PI 95% CI Fit SE Fit 1 30.217 0.179 (29.865, 30.569) (22.997, 37.436) (a) A scatterplot of the data shows a reasonably linear relationship between tree height and diameter. Is this relationship statistically significant? What are the null and alternative hypotheses? O Ho: 6-0 Ha: B 0 Ho: 8-0 Ha: 0 Ho: 0 Ho: B 20. Ha: B 0 O Ho: B- 0 H.: B 0 what is the value of the test statistic? (Round your answer to two decimal places.) Use this table to approximate the P-value. P

Explanation / Answer

From the given output,

a) Option A is correct.

t = 108.93

P < 0.001

r = (0.925) = 0.9618

b) (29.865, 30.569)

c) (22.997, 37.436)

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