Result:
Predicted father height when son height is 74,
25.29+0.64*74 = 72.65
Predicted father height when son height is 65,
25.29+0.64*65 = 66.89
c).
correct option: B:
Regression towards the mean, because values for the predictor variable that are far from the mean leads to responses that are closer to the mean.
be and also predict a father's height from that of a son who is 65 inches...
Like Father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 7 pairs, with height measured in inches, simulated from the distribution specified by Pearson. The least-squares regression line y=b0+b1x, se=2.3624697, E(x-x)^ 2=33.51, and x=70.02 are known for this data. Compute a point estimate of the mean height of sons whose fathers are 70 inches tall. Father's height Son's height 69 69.1 73.6 74.9...
9 of 10 (0 complete) tween a child's height, x, and head circumference, y. She randomly selects 11 children from her our 0 Data Table th pret he Height (inches), x 27.5 24.25 25.25 26.25 25 mere Head Circumference (inches), y 17.6 17.2 17.2 17.6 16.9 17.7 17.4 17.6 17.4 17.6 17.6 is pre 27.75 26.5 27.25 26.75 26.75 27.75 is pre Et choi Print Done and head circumferencey. She randomly selects 11 children from her practice, measures the heights...
The mean height of women in a country (ages 20-29) is 63.5 inches. A random sample of 50 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume o = 2.85. The probability that the mean height for the sample is greater than 64 inches is (Round to four decimal places as needed.) The height of women ages 20-29 is normally distributed, with a mean of...
A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y She randomly selects 11 children from her practice, measures their heights and head circumferences and obtains the accompanying data. Complete parts (a) through (g). EEE Click the icon to view the data table. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. Data Table The least-squares regression line is y x (Round...
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Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 64 and 66 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twelve 18-year-old men is selected, what is the probability that the mean height x is between 64 and 66 inches? (Round your answer to four decimal places.) (c) Compare...
9. To test the belief that sons are taller than their fathers, a student randomly selects I3 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data: Height of father, X 70.3 67.1 709 66.8 Height of son, Y 74.1 69.2 669 692 689 70.2 70.4 728 70.4 71.8 一81-9 | 10 | 11 | 12 | 13 Height of father, 70.1 69.9 70.8 70.2 704 724...
Height data, collected from a statistics class, has a mean, X = 68.21 inches, and a standard deviation of s=4.01 inches. The sample size of the data was n = 36. Suppose the data collected could be considered a random sample of WCU students. Calculate the lower boundary of a 99% confidence z-interval. Give your answer as a decimal number rounded to 2 decimal places. INinto nu can use the calculator to find this solution or do this by hand)...
8 The height of women ages 20-29 is normally distributed, with a mean of 642 inches. Assume o = 27 inches. Are you more likely to randomly select 1 woman with a height less than 65.4 inches or are you more likely to select a sample of 15 women with a mean height less than 65.4 inches? Explain. Click the icon to view page 1 of the standard normal table B Click the icon to view page 2 of the...
2. Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.849 and the equation of the regression line is ŷ=0.68+0.99x, where x represents the IQ score of the twin born first. Also, the 20 x values have a mean of 100.9 and the 20 y values have a mean of 100.5. What is the best predicted IQ of the twin born second, given that the twin born first has...