uddenham and Snyder obtained the following results for 66 California boys at ages 6 and 18 (the scatter diagram is football-shaped): average height at 6 = 3 feet 10 inches, SD = 1.7 inches average height at 18 = 5 feet 10 inches, SD = 2.5 inches, r = 0.8 Find the r.m.s. error for the regression prediction of height at 6 from height at 18.

Answers

Answer 1

The regression prediction error for height at 6 from height at 18 is 1.5.

What is Root Mean Square Error (RMSE)?

One of the methods most frequently used to assess the accuracy of forecasts is root mean square error, also known as root mean square deviation. It illustrates the Euclidean distance between measured true values and forecasts. The Root Mean Square Error (RMSE) statistic calculates the amount of error between two data sets. In other words, it contrasts a value that was anticipated with one that was observed or known.

What is RMS error in remote sensing?

A measurement of the variation between known locations and locations that have been digitalized or interpolated. RMS error is calculated by taking the square root of the difference between the known and unknown points, which is then multiplied by the number of test points.

√((1-r^2 )

The r.m.s. error for this regression's height at 18 versus height at 6 prediction is as follows:

√(1-〖0.8〗^2 ).2.5=√(1-0.64 ).2.5=√0.36 .2.5=0.6 ⋅2.5=1.5

The regression prediction error for height at 6 from height at 18 is:

√(1-〖0.8〗^2 ).1.7=√(1-0.64 ).1.7=√0.36 .1.7=0.6 ⋅1.7=1.02

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Related Questions

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Answers

Answer:

Explanation:

Answer:

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Step-by-step explanation:

x^2+10 = 91
What is the positive solution to the given equation?

Answers

To solve this problem, we will factor.
x^2+10=91
Subtract 91 to both sides:
x^2+10-91=0
Calculate:
x^2-81=0
Factor:
(x+9)(x-9)=0
Separate:
x+9=0
x-9=0
Solve:
x=-9
x=9
The positive solution is x=9
Hope this helped!

Answer:

9

Explanation:

To find the positive solution to the equation x^2 + 10 = 91, we'll start by isolating x^2 on one side of the equation. To do this, we'll subtract 10 from both sides:

x^2 + 10 - 10 = 91 - 10

x^2 = 81

Next, we'll take the square root of both sides of the equation to solve for x:

√(x^2) = √(81)

x = ±9

Since we are looking for the positive solution, x = 9.

Which of the following best describes the mission of the X-1 aircraft based on hidden figures

Answers

The X-1 aircraft's mission is based on To put a man on the moon, travel at the speed of light, and launch an aeroplane into space

What purpose is the basis for Hidden Figures?

The latest box office sensation Hidden Figures (2017) sheds light on the previously mostly untold tale of the women who worked as computers on NASA's Project Mercury in the 1960s. The main three actors in the film are Taraji P. Henson, Janelle Monáe, and Octavia Spencer.

What aspect of Hidden Figures is the best?

When the women's car breaks down on the way to Langley Research Center and a police comes up asking for identification, Katherine hands him her card and murmurs seriously, "NASA, sir," in one of Hidden Figures' greatest scenes.

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The following data,
11,16,10,30,24,5,6,12,11,45,9,8,3,4,35,31,
represents the
number of days spent by COVID 19 patients admitted at the
Intensive Care Unit of the University of Ghana Medical
Centre. Find
1. the mean
2. range
3. interquartile range
4. variance and standard deviation
5. the coefficient of variation.
6. Comment on your results

Answers

Answer:

Explanation:

Here are the results for the data:

Mean: The mean, or average, of the data can be calculated by summing up all the values and dividing by the number of values:

(11+16+10+30+24+5+6+12+11+45+9+8+3+4+35+31)/16 = 201/16 = 12.5625

So, the mean number of days spent by COVID-19 patients in the ICU is 12.5625 days.

Range: The range of the data is the difference between the maximum and minimum values:

45 - 3 = 42

So, the range of the data is 42 days.

Interquartile Range: The interquartile range (IQR) is a measure of the dispersion of the data that is less sensitive to outliers than the range. To calculate the IQR, we first need to find the median (Q2), first quartile (Q1), and third quartile (Q3) of the data:

Q1 = (6+8)/2 = 7

Q2 = (11+12)/2 = 11.5

Q3 = (24+30)/2 = 27

The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1 = 27 - 7 = 20

Variance and Standard Deviation: Variance is a measure of the dispersion of the data that is used to calculate the standard deviation. The formula for variance is:

Variance = sum of squared deviations from the mean / number of values

First, we need to calculate the deviations from the mean:

11 - 12.5625 = -1.5625

16 - 12.5625 = 3.4375

10 - 12.5625 = -2.5625

...

The sum of the squared deviations from the mean is:

Variance = 596.9375/16 = 37.93359375

The standard deviation is the square root of the variance:

Standard deviation = √Variance = √37.93359375 = 6.15

Coefficient of Variation: The coefficient of variation (CV) is a measure of the relative variability of the data, expressed as a percentage of the mean. The formula for the CV is:

CV = (Standard deviation / mean) * 100

CV = (6.15 / 12.5625) * 100 = 49.03%

Comment on Results:

The mean number of days spent by COVID-19 patients in the ICU at the University of Ghana Medical Centre is 12.5625 days. The range of the data is 42 days, while the interquartile range is 20 days. The variance is 37.93 and the standard deviation is 6.15. The coefficient of variation is 49.03%, which indicates a relatively high degree of variability in the data. These results show that the number of days spent by COVID-19 patients in the ICU at the University of Ghana Medical Centre can vary widely, with some patients spending as few as 3 days and others spending as many as 45 days in the ICU.

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