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Leviafan [203]
3 years ago
11

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals102

.04​, y overbarequals101.55​, requals0.856​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals 25.05 plus 0.75 x​, where x represents the IQ score of the younger child. Find the best predicted value of ModifyingAbove y with caret given that the younger child has an IQ of 95​? Use a significance level of 0.05.
Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

96.3

Step-by-step explanation:

The equation for predicting variable y is

y=25.05+0.75x.

Here x is the IQ of younger child.

We have to find the predicted value of y given that the younger child's IQ is 95. It can be computed by putting x=95 in the above equation.

So,

y=25.05+0.75*95

y=25.05+71.25

y=96.3

Thus, the best predicted value of y given that the younger child has an IQ of 95​ is 96.3.

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3 years ago
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Novay_Z [31]

Answer:

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎

Step-by-step explanation:

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

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Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

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Divide the numbers 12/4, which gets you 3

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