Please show steps The accompanying data on x = head circumference z score (a com
ID: 3205279 • Letter: P
Question
Please show steps
The accompanying data on x = head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age 6 to 14 months and y = volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article.
Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.8. (Give the answer to two decimal places.)
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The following data on sale price, size, and land-to-building ratio for 10 large industrial properties appeared in a paper.
New Question
Mobile homes are tightly constructed for energy conservation. This can lead to a buildup of indoor pollutants. The paper "A Survey of Nitrogen Dioxide Levels Inside Mobile Homes" discussed various aspects of NO2 concentration in these structures.
(a) In one sample of mobile homes in the Los Angeles area, the mean NO2 concentration in kitchens during the summer was 36.06 ppb, and the standard deviation was 11.16. Making no assumptions about the shape of the NO2distribution, what can be said about the percentage of observations between 13.74 and 58.38? (Round the answer to the nearest whole number.)
At least ___%
(b) Inside what interval is it guaranteed that at least 89% of the concentration observations will lie?
(_____, _____)
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Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the conditions below. (Round all answers to two decimal places.)
(d) P(z > z*) = 0.02 z* =
P(z < z*) = 0.0482 z* =
P(z > z* or z < -z*) = 0.2005 z* =
Cerebral GreyMatter (ml) 2-5 yr Head Circumfer-
ence z Scores at
6-14 Months 680 -0.68 690 1.7 700 -0.23 720 0.32 740 0.37 740 2.0 750 1.6 750 2.5 760 1.6 780 1.6 790 2.5 810 2.6 815 3.3 820 2.7 825 0.97 835 2.85 840 2.8 845 2.7
Explanation / Answer
Dear student, I am only answering the first questiion as per Chegg Guidelines.
The regression output from Excel is:
So for x=1.8, y=711.45+34.74*1.8=773.982
y x 680 -0.68 SUMMARY OUTPUT 690 1.7 700 -0.23 Regression Statistics 720 0.32 Multiple R 0.751056 740 0.37 R Square 0.564086 740 2 Adjusted R Square 0.536841 750 1.6 Standard Error 36.51884 750 2.5 Observations 18 760 1.6 780 1.6 ANOVA 790 2.5 df SS MS F Significance F 810 2.6 Regression 1 27611.99 27611.99 20.70445 0.000328 815 3.3 Residual 16 21338.01 1333.626 820 2.7 Total 17 48950 825 0.97 835 2.85 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 840 2.8 Intercept 711.4493 15.78696 45.06562 2.75E-18 677.9824 744.9161 677.9824 744.9161 845 2.7 x 34.7408 7.634981 4.550214 0.000328 18.55536 50.92624 18.55536 50.92624