Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 10.3, Problem 34E
Simplify E(MSTr) for the random effects model when J1 = J2 = =J1 = J
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Chapter 10 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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- The least-squares regression equation is y=784.6x+12,431 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7962. Predict the median income of a region in which 25% of adults 25 years and older have at least a bachelor's degree.arrow_forwardThe least-squares regression equation is y=620.6x+16,624 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7004. Interpret the slope.arrow_forwardExplain why Y is considered the least squares estimator of the mean of Y, µy.arrow_forward
- Battery life has a strong, negative, linear relationship with temperature. If the least-squares regredsion line using x = temperature explains 90% of the variation in battery life, what is the correlation, r, between battery life and temperature.arrow_forwardTwo variables have the regression lines 3x + 2y = 26 and 6x + y = 31. Find the mean values, the correlation coefficient between x and y and the ratio of variances of the variables.arrow_forwardhow can i calculatearrow_forward
- The regression lines between two random variables X and Y is given by 3X + Y = 10 and3X + 4Y = 12 .Find the correlation between X and Y.arrow_forwardA. B Math Grade English Grade 86 80 90 88 78 85 88 87 89 90 90 94 91 93 77 80 85 80 78 80arrow_forwardThe slope of a regression line (y on x) is -0.24, we know that SDy=3.2 and SDx=4.0, then the correlation coefficient between the two variables is:A. 0.3B. -0.3C. 0.8D. -0.8arrow_forward
- Two variable are found to have a strong negative linear correlation. Pick the regression equation that best fits this scenario. Oŷ = 0.32x 30 Oy = 0.82x - 30 Oy y = -0.32x + 30 -0.82x + 30arrow_forwardTwo variable are found to have a strong positive linear correlation. Pick the regression equation that best fits this scenario. y = -0.34x + 25 y = 0.84x25 Oy = -0.84x + 25 Oŷ = 0.34x - 25arrow_forwardA least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is weight = -5.25 +0.1696 length. A newborn was 48 cm long and weighed 3 kg. According to the regression model, what was his residual? What does that say about him?arrow_forward
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