=a+bx == 2.26213874 -=0.32657492 = = 0.415646974 -0.64470689 3 B equation of the least-squares regression line. Use the full accuracy shown in the calculator outp line equation: = X S
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- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: -a+bx a=-0.761 b-0.063 (a) Write the equation of the Least Squares Regression line of the formFind the equation for the least squares regression line of the data described below. Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimetres), y. Rainfall statistics • The mean of the x-values is 11.503. • The mean of the y-values is 366.637. • The sample standard deviation of the x-values is 4.900. • The sample standard deviation of the y-values is 44.387. • The correlation coefficient of the data set is 0.896. Round your answers to the nearest thousandth. y = L Submit
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- Ordinary least squares method was used to fit a regression model to predict income (in thousands of dollars) from the following predictors: X1 = education X2 = gender (where male = 0 and female = 1) X3 = interaction between education and gender %3D The model produced the following coefficients: B, = -11.52, B, = 2.99, ß, = 1.01, ßz = -0.94. On average, how much income do men and women get if they have 20 years of education? Key A Men: $48.28 thousand; Women: $30.49 thousand B Men: $48.28 thousand; Women: $28.08 thousand C Men: $59.80 thousand; Women: $41.00 thousand D Men: $59.80 thousand; Women: $20.20 thousandThe relationship between a number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: ?̂ = -0.0127 + 0.0180x The above equation implies that: each beer consumed increases blood alcohol by 1.27% on average it takes 1.8 beers to increase blood alcohol content by 1% each beer consumed increases blood alcohol by an average of the amount of 1.8% each beer consumed increases blood alcohol by exactly 0.018A study investigated how the content of vitamin A in carrots is affected by the time being cooked. In this example: X represents the amount of time, in minutes, that the carrot slices were cooked Y represents the content of vitamin A (in milligrams) in the carrot slices The least-squares regression equation for this relationship is: Y = 23.4 – 0.55X What is the slope of the regression line? Provide a numeric value as shown in the equation.