a) Log 3 = 0.47712
Therefore y = 1.6 + [0.4*0.47712) = 1.6 + 0.19 = 1.79
b) log y = 1.6 + 0.4*3 = 1.6 + 1.2 = 2.8. Therefore y = log-12.8 = 630.96
c) y = 1.6 + 0.4*sqrt(3) = 1.6 + 0.4*1.732 = 1.6 + 0.6928 = 2.2928 2.29
d) y = 1.6*(0.43) = 1.6* 0.064 = 0.1024 0.10
e) y = 0.4 * 32 + 1.6*3 + 3 = 3.6 + 4.8 + 3 = 11.40
For each of the models listed below, predict y when x 3. a) y 1.6 0.4log...
Consider the sample regressions for the linear, the logarithmic, the exponential, and the log-log models. For each of the estimated models, predict y when x equals 50. (Do not round intermediate calculations. Round final answers to 2 decimal places.) Response Variable: y Response Variable: ln(y) Model 1 Model 2 Model 3 Model 4 Intercept 18.52 −6.74 1.48 1.02 x 1.68 NA 0.06 NA ln(x) NA 29.96 NA 0.96 se 23.92 19.71 0.12 0.10 Model 1 Model 2 Model 3 Model...
1. When testing r linear restrictions imposed on the model y = β0 + β1x1 + ... + βkxk + ε, the test statistic is assumed to follow the F(df1, df2) distribution with ____________________. df1 = k and df2 = n – k – 1 df1 = k – 1 and df2 = n – k – 1 df1 = r and df2 = n – k df1 = r and df2 = n – k – 1 2. (Round...
e ssion correon) Then the m o on to predict the Find the union of the m y for each of the oven Might, o re venden con fort of the cand wheregression in mening Theibew show s and the numbers of 764255205101402404 564745433736 the prof brudge in aty 500 Ft d) x 052 727 Find the regression equation y- x+HD (Round the slope to three decimal places as needed. Round they intercepto two decimal places as onded Find the...
Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7 Stock X -5% 4% 3% 9% 1% -3% 4% Stock Y 12% 7% -3% -2% 4% 6% -1% What is the (population) covariance of returns on the two stocks? Please round your answer to six decimal places. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. x y 11 100 13 80 15 80 12 90 20 60 17 60 15 70 13 90 15 90 17 80 a. Complete the linear regression equation below Round to one decimal place as needed.) b. Calculate the sum of the squared residuals. SSE-L (Round to the nearest whole number as needed) What is the total sum of...
Consider the following estimated models: Model 1: y-16 + 5.42x Model 2: y-29 + 29 In(x) Model 3: In(y) 2.0+0.10x, se 0.06 Model 4: In(y -2.4+0.36 In(; se 0.12 b. For each model, what is the predicted change in y when x increases by 4%, from 10 to 10.47 (Do not round intermediate calculations. Round final answers to 2 decimal places.) units units percent percent. Model 1:y increases Model 2: ý increases Model 3: increases Model 4:y increases by by...
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). 25 Altitude Temperature 3 56 8 38 17...
The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X 10 15 11 19 18 17 5 17 18 y 9070 30 8020 30 5060 40 40 a. Develop a simple linear regression equation for these data. b. Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination c. Calculate the standard error of the estimate. d. Calculate the standard error for...
1. When testing r linear restrictions imposed on the model y = β0 + β1x1 + ... + βkxk + ε, the test statistic is assumed to follow the F(df1, df2) distribution with ____________________. df1 = k and df2 = n – k – 1 df1 = k – 1 and df2 = n – k – 1 df1 = r and df2 = n – k df1 = r and df2 = n – k – 1 2. (Round...
1. Find the cubic function that models the data in the table below. x -2,-1,0,1,2,3,4 y 48,9,0,3,0,-27,-96 y= ______? (Simplify your answer. Do not factor. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.) 2. Find the quartic function that is the best fit for the data in the table below. Report the model with three significant digits in the coefficients. x -2,-1,0,1,2,3,4 y 1,-0.5,0,-0.5,1,13.5,52 y = ______ ? (Simplify your answer....