NHL Assists and Total Points The number of assists and total number of points for a sample of NHL scoring leaders from the NHL are shown. Assists x 65 83 58 59 68 67 Total points y 94 112 109 109 101 91 Send data to Excel The correlation coefficient for the data is r=0.146 and a=0.05. Should regression analysis be done? The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. y'=a+bx a = %3= Find y' when x 65. y' =

NHL Assists and Total Points The number of assists and total number of points for a sample of NHL scoring leaders from the NHL are shown. Assists x 65 83 58 59 68 67 Total points y 94 112 109 109 101 91 Send data to Excel The correlation coefficient for the data is r=0.146 and a=0.05. Should regression analysis be done? The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. y'=a+bx a = %3= Find y' when x 65. y' =

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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Roller coasters get their speed as a result of dropping down a steep incline. The table below gives height of a drop and the speed achieved for different roller coasters around the world. Drop in Meters (m 25 30 28 58 55 40 90 100 Speed of the coaster (k.p.h) 80 90 78 93 90 93 105 128 Have your calculator find the linear regression for the roller coaster data above. Write the linear model, clearly define the variables and state correlation coefficient and clearly interpret the slope. Use the model to find the drop height that will result in a coaster speed of 150 kph. Have your calculator find the exponential regression for this data. Write the exponential model, clearly define the variables and state correlation coefficient. Use the model to find the drop height that will result in a…
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Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, x Stories, y 758 621 518 510 492 | 483 | 51 47 46 43 39 36 Find the regression equation. y = ☐ X+ (a) x = 503 feet (c) x = 802 feet (b) x = 649 feet (d) x = 728 feet (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
NHL Assists and Total Points The number of assists and total number of points for a sample of NHL scoring leaders from the NHL are shown. Assists x 65 83 58 59 68 67 Total points y 94 112 109 109 101 91 Send data to Excel The correlation coefficient for the data is r= 0.146 and a = 0.05. Should regression analysis be done? OThe regression analysis should not be done. O The regression analysis should be done. O Find the equation of the regression line. y'=a+bx a = 93.237 b = 0.141 Find y' when x= 65. y'= 102.402
State Debt and Per Capita Taxes Data for per capita state debt and per capita state tax for five randomly selected states are shown. Per capita debt 3377, 1446, 4345, 1442, 2705 Per capita tax 2432, 1860, 1535, 2147, 2376 The correlation coefficient for the data is r=-.248 and a=.05. Should regression analysis be done? The regression analysis should not be done or The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary y'= a+bx a= b= find y' when x=$1992. Round the answer to at least three decimal places, if necessary y'=
Correlation and linear regression
Correlation and Regression Assignment A sample of 10 adult men gave the following data on their heights and weights. Height (inches) X 62 62 63 65 66 67 68 68 70 72 Weight (pounds) Y 120 140 130 150 142 130 135 175 149 168 Generate the scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data. State the equation of the regression line. Find r (correlation coefficient). Interpret the value of r in the context of this problem. Find the coefficient of determination, r2. Explain what it means in the context of this problem. Provide examples of other lurking variables that may have an effect on weight besides height. Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test. Predict the weight of a man whose height is 60 inches. (h) Find…
Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 7 recent years are shown. Number of fires x 58 47 84 62 57 72 69 Number of acres burned y 54 43 80 58 53 68 65 The correlation coefficient for the data is =r1 and =α0.05 . Should regression analysis be done? The regression analysis should not be done. The regression analysis should be done. Find the equation of the regression line. =y′+abx =a =b Find y′ when =x50 . =y′
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Multiple Choice Question The table below shows data collected on the length and weight of sand sharks. Length 60 62 64 66 68 70 72 Weight 105 114 124 131 139 149 158 A linear regression analysis is run on this data and results in a linear regression equation of y = 4.36x - 156.14 where x is the length of the shark in inches and y is the weight of the sharks in pounds. The correlation coefficient (r) is calculated as 0.9991. Interpret the slope of the regression line in context. A. On average, for each pound heavier a sand shark is, it will be 4.36 inches longer. B. On average, for every 1 inch longer a sand shark is, it will weight 4.36 more pounds. C. Each pound more a sand shark weighs adds exactly 4.36 inches to its length. D. Each inch longer a sand shark is adds exactly 4.36 pounds to its weight.
Tall Buildings The stories and heights (in feet) of a sample of 10 buildings in Pittsburgh are shown. Stories.x 64 54 40 31 45 44 42 41 39 40 Height y 741 625 535 516 515 482 435 420 411 385 Send data to Excel The correlation coefficient for the data is r= 0.788 and a= 0.05. Should regression analysis be done? O The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places. y'=a+bx a = b = Find y' when x = 36. Round your answer to at least three decimal places. y'