Which one of the scatter plots below corresponds to the least-squares regression line: y = -2761 +50.3x 4000 3000 A - 1000 3000 2000 0 1000 60 F8 80 80 100 X 100 X 120 120 140 140 B 1000 0 -1000 -2000 -3000 8000 7000 6000 5000 4000 -60 -140 -120 -100 X 0 -80 20 -60
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Regression equation
Y = -2761 + 50.3x
For getting scatter plot,
- Put values of x in equation, and get corresponding y value.
Step by step
Solved in 3 steps
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- An article gave a scatter plot along with the least squares line of x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. x 6 12 14 20 23 30 40 50 55 67 72 79 96 112 127 y 4 10 13 15 15 25 27 46 38 46 53 74 82 99 104 (a) Does a scatter plot of the data support the use of the simple linear regression model? Yes, the scatterplot shows a reasonable linear relationship.Yes, the scatterplot shows a random scattering with no pattern. No, the scatterplot shows a reasonable linear relationship.No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope intercept (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 50. (Round your answer to four decimal places.) m3(d) Calculate a point estimate of the…The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Stories (x) Height (y) 59 1050 29 428 25 362 40 529 60 790 22 401 38 380 110 1454 100 1127 46 700 Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) ŷ = + XBiologist Theodore Garland, Jr. studied the relationship between running speeds and morphology of 49 species of cursorial mammals (mammals adapted to or specialized for running). One of the relationships he investigated was maximal sprint speed in kilometers per hour and the ratio of metatarsal-to-femur length. A least-squares regression on the data he collected produces the equation ŷ = 37.67 + 33.18x %3D where x is metatarsal-to-femur ratio and ŷ is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94. Construct an 80% confidence interval for the slope of the population regression line. Give your answers precise to at least two decimal places. Lower limit: Upper limit:
- An article gave data on a measure of pollution (in micrograms of particulate matter per cubic meter of air) and the cost of medical care per person over age 65 for six geographical regions of the United States. Find the equation of the least-squares line describing the relationship between y = medical cost and x = pollution. (Give the answer to two decimal places.) ŷ = Region North eBook Upper South Deep South West South Big Sky West Additional Materials Pollution Cost of Medical 30.0 922 31.8 898 32.1 975 26.8 979 30.4 959 40.0 906Data for motor vehicle production in a country for the years 1997 to 2004 are given in the table. Year 1997 1998 1999 2000 2001 2002 2003 2004 Thousands 1,578 1,671 1,805 2,009 2,391 3,219 4,415 5,092 (A) Find the least squares line for the data, using x = 0 for 1990. y = (Use integers or decimals for any numbers in the expression. Do not round until the final answer. Then round to the nearest tenth as needed.)