neqxe inemealhevbA 41. A student obtained the following two regression equations, do you agree with him: bnis 6X = 15Y+ 21 21X+ 14Y= 56 beele eonia bns enulibnscx ot bnis X no
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- If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?Does Table 1 represent a linear function? If so, finda linear equation that models the data.A biologist wants to predict the height of male giraffes, y, in feet, given their age, x1, in years, weight, x2, in pounds, and neck length, x3, in feet. She obtains the multiple regression equation yˆ=7.36+0.00895x1+0.000426x2+0.913x3. Predict the height of a 12-year-old giraffe that weighs 3,100 pounds and has a 7-foot-long neck, rounding to the nearest foot.
- An independent mail delivery service wants to study factors that affect the daily gas usage of its delivery trucks. Using data collected from different trucks on various days, a company analyst uses software to fit a regression model of the following form. y = 13 +8x, -1.1x, + 2x3 +0.04.x, In this model are the following variables. y= volume of gasoline used (in gallons) X1 weight of truck (in tons) x, = tire pressure (in psi, pounds per square inch) weight of initial pačkage load (in hundreds of pounds) X4 total distance driven while delivering packages (in miles) Answer the questions below for the interpretation of the coefficient of x, in this model. (a) Holding the other variables fixed, what is the average change in daily fuel used for each additional ton that a truck weighs? gallon(s) (b) Is this change an increase or a decrease? O increase O decrease Activate WindoA well-known university is interested in how salary (in thousands of dollars) is predicted from years of service for faculty and administrative staff. Below are the estimated regression equations. Faculty (n = 193): ŷ = 50 + 2.1xAdmin. (n = 179): ŷ = 47 + 2.3x a) How much would a faculty member be earning after 10 years of service? b) In how many years will an administrator earn the same amount as in a)?A well-known university is interested in how salary (in thousands of dollars) is predicted from years of service for faculty and administrative staff. Below are the estimated regression equations.Faculty (n = 170): ŷ = 60 + 1.1xAdmin. (n = 155): ŷ = 57 + 1.5x a) How much would a faculty member be earning after 5 years of service? b) In how many years will an administrator earn the same amount as in a)?
- The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent 2-year periods are shown in the table. The equation of the regression line is y = 0.958x+7.214. Find the coefficient of determination and interpret the result. Money raised, 471.5 666.3 732.7 X Money spent, y 441.1 677.4 729.8 750.1 726.6 1000.7 937.7 1165.2 Find the coefficient of determination and interpret the result. r2 = (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? O A. The coefficient of determination is the fraction of the variation in money spent that can be explained by the variation in money raised. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. OB. The coefficient of determination is the fraction of the variation in money spent that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in…A study tests the effect of earning a Master's degree on the salaries of professionals. Suppose that the salaries of the professionals (S,) are not dependent on any other variables. Let D, be a variable which takes the value 0 if an individual has not earned a Master's degree, and a value 1 if they have earned a Master's degree. What would be the regression model that the researcher wants to test? A. S,= Po + B,D,+u, i=1, .. , n. O B. S,= Po + B, + u, i= 1, .. , n. OC. 1=6o +B1,S, + u, i= 1, .. , n. O D. 0=Bo +B, S, + u,, i= 1, .. , n. Suppose that a random sample of 160 individuals suggests that professionals without a Master's degree earn an average salary of $59,000 per annum, while those with a Master's degree earn an average salary of $80,000 per annum. The OLS estimate of the coefficient B, will be $ and that of B, will be $ Click to select your answer(s). DELLSolve by hand. Do not use any external softwares or programs including Excel.
- The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent 2-year periods are shown in the table. The equation of A the regression line is y = 0.952x+20.570. Find the standard error of estimates, and interpret the result. Money ralsed, x Money spent, y 460.5 434.1 651.5 689.3 Find the standard error of estimate s and interpret the result. (Round to three decimal places as needed.) 738.8 735.3 780.3 755.8 781.2 732.5 1025.3 1011.3 950.6 929.9 1205.2 11554Give the equation of the regression line: -913.2969+0.4808years(y) a) Plug an actual x value into the equation and discuss the difference between the real y and the predicted yb) Discuss the domain of your datac) Include the scatterplot with line of best fitPlease do not give solution in image format thanku