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3. Ross thinks that the weight of a person can tell you how smart they are. To f

ID: 3312662 • Letter: 3

Question

3. Ross thinks that the weight of a person can tell you how smart they are. To find out Ross gathered some data and got the following (partial) data from Crunchit. Using the output below, test Ross's claim. (All four step for the HT for slope). Parameter estimates: Simple linear regression results: Dependent Variable: IQ Independent Variable: Weight IQ = 102.308395 + 0.56636804 weight Sample size: 38 R (correlation coefficient) =0.3053 R-sq = 0.09321547 Estimate of error standard deviation: 1.1436018 Slope ParameterEstimateStd. Err. Intercept 102.308395 2.6633832 0.56636804 0.44161803

Explanation / Answer

assuming alpha = 0.05

df = 38 - 2 = 36

H0: 1 = 0
Ha: 1 0

t = b1 / SE

t = 0.56636804/0.44161803

t = 1.28

p value = 0.21 > 0.05

Null is not rejected

Ross's claim is false

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