H Height of Plant (cm 22 21 20 19 18 17 16- 15 --14- 13- 1-2- 2 1-1- 10- 9- -8- -7- 61 -5- 4 -3- -2- --1- 0 3 4 5 6 8 9 10 11 13 12 14 Time-(Days)- 15 Independent variable: Dependent variable: Linear/ Non-linear; Trend: Rate of change: Interpolation: 3
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- The US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?To estimate the value of a dependent variable based on the values of one or more independent variables, the process used is called: Correlation Regression Slope Intercept ResidualKind karl person’s coefficoent of correlation using regression coefficient bxy = -0.37 , bxy =-.50
- 23:01 Done A S Male (X2) = binary variable (1 if male, 0 if female) Age (X3) = age in years North (X4) = binary variable (1 if Region = North, 0 otherwise) South (X5) = binary variable (1 if Region = South, 0 otherwise) East (X6) = binary variable (1 if Region = East, 0 otherwise) Using the regression results in column (1): The calculated test statistic is_ The table below contains three estimated regressions, which were computed in 2007 using data on employees. The data set used for the regressions consisted of information on over 10,000 full-time, full-year workers. Employees were surveyed on their earnings and whether they had graduated high school or not. The data set also contains information on the region of the country where the person lived (North / East / South / West), and the individual's gender and age. (plz write in 2 decimal places) is the null hypothesis rejected at the 5% level of significance?_ DO For the purposes of this quiz: AHE = average hourly earnings Graduated…Simple linear regression results: Dependent Variable: Heart. DiseaseIndependent Variable: BikingHeart. Disease = 18.115809 - 0.20845321 BikingSample size: 68R (correlation coefficient) = -0.94616452R-sq = 0.8952273Estimate of error standard deviation: 1.5273175 Correlation between Biking and Heart. Disease is: -0.94616452. Correlation between Smoking and Heart. Disease is: 0.32421. 1) State r 2 (i.e., the coefficient of determination) for “Biking” and “Heart.Disease” and explain what this value means in context of the data set.Choose the answer
- Marriage Age 2010 The graph shows the ages of bothmen and women at first marriage (www.census.gov). Clearly, the patterns for men and women are similar. Butare the two lines getting closer together?Here’s a timeplot showing the difference in average age (men’s age - women’s age) at first marriage, the regres-sion analysis, and the associated residuals plot.a) What is the correlation between Age Difference and Year?b) Interpret the slope of this line.c) Predict the average age difference in 2015.d) Describe reasons why you might not place much faithin that prediction.indicator for gender (=1 if male, =0 if female). Your data set has 200 observations. donation = 1.57 + 0.12age + 0.08age? – 0.43 gender + 0.07(gender * age), R? = 0.33 (0.15)* (0.67) (0.11) (0.01) (0.06) donation = 1.59 (0.68) 0.46 gender, R² = 0.30 (0.17) 1. Assuming homoscedastic errors, test the hypothesis that age affects charitable donations at the 5% level. 2. Interpret the coefficient on gender interacted with age. 3. How would you test that the difference in giving between men and women is independent of age? If you can run the test, run it. If you cannot, explain what you need.20
- Critical value of rSS =. _. This relationship _ significant. Do the data suggest that increased learning ability caused starlings to have greater social status? a. Yes. Only greater social status could have caused an increase in both learning ability and social status. b. No. Greater social could not have caused an increase in both learning ability and social status. Some other third variable could have caused an increase in both learning ability and social status. c. Not necessarily. Greater social status could have causedDefine correlation coefficient? how linear equation is based on correlation coefficient?The simpliest steps on solving Linear Correlation Analysis on a graph?
