21Fit a straight line by the method of least squares for the data relatingto the Indian population census given below.Year19011911 192119311941 1951 1961 1971Population 238.3 252.0 251.2 278.9 318.5 361.0 439.1 547.9(million)

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Answered: 21 Fit a straight line by the method of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?
23 Determine, by means of the least squares method and assuming that the only significant errors are in the y values, the best straight line relationship to fit the following data: y 65 72 68 71 72 75 80 82 77 74 80 84 87 93 98 78 89 91 96 95
College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and median SAT score for 92 similar-sized public universities and colleges in the United States. The scatterplot below shows the relationship between these two variables along with the least squares fit. Round all calculated results to 4 decimal places I need help with 3, 4 and 5 plz.
2. The scatterplot below summarizes husbands' and wives' heights in a random sample of 170 married couples in Britain, where both partners' ages are below 65 years. Summary output of the least squares fit for predicting wife's height from husband's height is also provided in the table. Wife's height (in inches) 70 65 60 55 60 65 70 Husband's height (in inches) 75 (Intercept) height husband Estimate Std. Error 43.5755 4.6842 0.2863 0.0686 t value 9.30 4.17 Pr>t) 0.0000 0.0000 Is there strong evidence that taller men marry taller women? State the hypotheses and include any information used to conduct the test... b) Given that R² = 0.09, what is the correlation of heights in this data set? c) You meet a married man from Britain who is 5'9" (69 inches). What would you predict his wife's height to he? How reliable is this prediction? d) You meet another married Brit who is 6'7" (79 inches). Would it be wise to use the same linear model to predict his wife's height? Why or why not?
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When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is (picture attached) What is the predicted area of the circle, in cm2, 4 seconds after the stone is dropped? 49.72 cm2 199.43 cm2 311.89 cm2 1854.10 cm2
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21 Fit a straight line by the method of least squares for the data relating to the Indian population census given below. Year 1901 1911 1921 1931 1941 1951 1961 1971 Population 238.3 252.0 251.2 278.9 318.5 361.0 439.1 547.9 (million)