A data set is given below.(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.(b) Given that x = 3.8333, sx = 2.0412, y = 4.3167, sy = 1.3363, and r= -0.9153, determine the least-squares regressionline.(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).Xy1 2 4 45.4 5.9 5.0 4.0(a) Choose the correct graph below.O A.QQ2B.There appears to be a linear, negative relationship.(b) y = -0.599 x + (6.614)(Round to three decimal places as needed.)(c) Choose the correct graph below.6 62.6 3.0B.QQLQC.QLD.QQLQ

The dataset on x and y is given. Sample size (n) = 6 x¯=3.8333sx=2.0412y¯=4.3167sy=1.3363r=-0.9153…

Answered: (a) Draw a scatter diagram. Comment on…

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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tion of about $1 million in payroll. (E) One extra win corresponds to an addi- tion of about $17 million in payroll. 6. The residual for the least-squares regression line y = 3.422 +5.551x at the data point (9.227, y) is equal to 1.811. Which of the following is the value of y? (A) 56.452 (B) 54.641 (C) 52.830 (D) 11.038 (E) 7.416 ere to search
(b)
Complete parts (a) through (h) for the data below. 4 6. 8 y 11 14 18 23 26 (d) By hand, determine the least-squares regression line. y = 2.977 x+ ( - 0.651) (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. A. Ов. Ay 30- Ay 10- 30- X 0- 10 10 10 (f) Compute the sum of the squared residuals for the line found in part (b). (Round to three decimal places as needed.)
(b) For the (x, y) data set of part (a), compute the equation of the sample least-squares line ŷ = a + bx. (Use 4 decimal places.) a b If the per capita spending was x = $39 one year, what do you predict for the spending the next year? (Use 2 decimal places.) $ per capita (c) Compute the sample correlation coefficient r and the coefficient of determination r2. (Use 4 decimal places.) r r2 Test ρ > 0 at the 1% level of significance. (Use 2 decimal places.) t critical t
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. In a particular region, 26.5 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $29,889. Is this income higher or lower than what you would expect? Why?
Do not show any work on this question. For these ordered pairs: (0, 0.1), (1, 1), (2,2.4),(4,3.7), and (5, 5.7): Find (f ,y) and plot it as well as the five given points. Find the equation ofthe least squares regression line. Round off the x coefficient and the constant to the nearest onethousandth. Graph the equation together with the points above. If needed do not use a Pvalue to answer any problem. No credit will be given if a P value is used. Use only criticalvalues.
An article gave a scatter plot, along with the least squares line, of x = rainfall volume (m³) and y data on rainfall and runoff volume (n = runoff volume (m³) for a particular location. The simple linear regression model provides a very good fit to 15) given below. The equation of the least squares line is y = -2.364 + 0.84267x, ² 0.976, and s = 5.21. = x 5 12 14 17 23 30 40 47 55 67 72 81 96 112 127 y 3 9 12 14 14 24 27 45 38 46 52 71 81 100 101 (a) Use the fact that s = 1.43 when rainfall volume is 40 m³ to predict runoff in a way that conveys information about reliability and precision. (Calculate a 95% PI. Round your answers to two decimal places.) Ŷ 28.25 1x ) m³ Does the resulting interval suggest that precise information about the value of runoff for this future observation is available? Explain your reasoning. OYes, precise information is available because the resulting interval is very wide. 34.46 Yes, precise information is available because the resulting interval is very…
st e this 1:33 38% K 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) below. Click the icon to view the children's data. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. Data Table y = X + (Round the slope to three decimal places and round the constant to one decimal place as needed.) View an example Height (inches), X Head Circumference (inches), y D 27.75 17.8 24.75 17.3 25.75 17.4 26.25 17.7 25 17.1 28.25 17.9 26.75 17.5 27 17.7 26 26 27.5 ||| = Print Get more help. (...) 17.5 17.7 17.8 1 LTE2 + ... Done O X Clear all Check answer

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