1. Regression methods were used to analyze the data from a study investigatingthe relationship between roadway surface temperature (x) and pavementdeflection ( y). The data follow :TemperatureDeflectionTemperatureDeflectionyy70.00.62172.70.63777.00.65767.80.62772.10.64076.60.65272.80.62373.40.63078.30.66170.50.62774.50.64172.10.63174.00.63771.20.64172.40.63073.00.63175.20.64472.70.63476.00.63971.40.638Given the data above:(a)estimate the intercept and slope regression coefficients. Writethe estimated regression line.(b) Find the standard error of the slope and intercept coefficients.(c) Compute the coefficient of determination, R². Comment on the value.(d) Use a t-test to test for significance of the intercept and slope coefficientsat a = 0.05.(e) Draw the regression line

The independent variable is Temperature. The dependent variable is Deflection. This is simple linear…

Answered: 1. Regression methods were used to…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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Old Faithful is a geyser located in Yellowstone National Park, WY. It may not be surprising that there is a correlation between the amount of time you have to weight between eruptions and the eruption length. You can witness eruptions that last up to 5 minutes but you may have to wait up to 90 minutes for them to occur whereas 2 minute eruptions tend to have about an hour wait-time. The following is a scatter-plot of 272 Old Faithful eruptions the x-variable is eruption length and the y-variable is waiting time. The equation for the best fit line is also listed on the graph. Does the eruption with the shortest eruption length also have the shortest waittime? Is the correlation between eruption length and waiting time positive or negative? Guess the correlation coefficient. Using the the equation for the best fit line, predict the waiting time for an eruption that lasts 3.4 minutes. Using this data would you feel comfortable making a prediction for the wait time of an eruption that…
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The price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10 randomly selected years. The following data should be used to answer the question that follows. n = 10 Ex = 36.19 Ex2 = 134.17 2.9 < x s 6.2 %3D Ey = 36.19774.74 Ey² = 60739.23 Exy = 2832.21 Before the slope of the line of best fit can be estimated, it is necessary to calculate SSXX. Enter the value for SSxx accurate to the nearest tenth. Xх.
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