A small town is trying to establish a transportation system of large and small vans.
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Answer:
The weight of an adult male who is 158 cm tall is 59.32 kg.
Step-by-step explanation:
The regression equation representing the relationship between height and weight of a person is:
Here,
<em>y</em> = weight of a person (in kg)
<em>x</em> = height of a person (in cm)
The information provided is:
The significance level of the test is, <em>α</em> = 0.01.
The hypothesis to test the significance of the correlation between height and weight is:
<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.
<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ</em> ≠ 0.
Decision rule:
If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.
According to information provided:
<em>p</em>-value = 0.045 > 0.01
The null hypothesis will not be rejected at 1% level of significance.
Thus, concluding that there is no relationship between the height and weight.
Compute the weight of an adult male with height, <em>x</em> = 158 cm as follows:
Thus, the weight of an adult male who is 158 cm tall is 59.32 kg.