Question

Q.4:-Weight (V) is regressed on height(x) of 40 adults. The height range in the data is 50-100 and the regression line is Y = 100+0.1X with R²=0.12. Which of the conclusions below does not necessarily low
The data suggests a weak relationship between X and Y
An adult with an X-value of 60 has an estimated Y-value of 106
An adult with an X-value of 80 has an estimated Y-value of 108
An adult with an X-value of 90 has an estimated Y-value of 109
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Answer 1

Weight (V) is regressed to the height(x) of 40 adults. The height range in the data is 50-100 and the regression line is Y = 100+0.1X with R²=0.12.

Hence the final answer is :

Y value of the world does not necessarily low

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Answer 2

Concept

Regression is a statistical tool used to relate a dependent variable to one or more independent variables.

Given

Weight (V) is regressed on height(x) of 40 adults.

regression line is Y = 100+0.1X with R²=0.12.

Find

we need to find which of the given conclusions below does not necessarily follow

Solution

We have

Y = 100+0.1X

Here, if X = 60,

Y = 100 + 0.1(60)

Y = 100 + 6

Y = 106

Thus, 2 follows.

if X = 80,

Y = 100 + 0.1(80)

Y = 100 + 8

Y = 108

Thus, 3 follows.

if X = 80,

Y = 100 + 0.1(90)

Y = 100 + 9

Y = 109

Thus, 4 follows.

Now, 1 is the only option left, it must be the answer. Moreover, a low R squared value does not necessarily suggests a 'weak relationship' between variables.

Hence, option 1 does not necessarily follow.

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