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- Please answer number 1Please answer from question 4 to last questionMy answers from question 1 to 3 are at the end Sarah wants to estimate the relationship between individual earnings in the labour market (earn) and years of education achieved (educ). She collects data from a sample of 122 individuals on their monthly salaries (Y), measured in rands, and education levels (X), measured in years of education.Based on these data, she derives the following estimates: ∑XY=41421943.8∑X2=15472∑X=1242∑Y=3401031 Question 1 The value for the slope parameter is ? Question 2 .The value for the intercept parameter is ? Question 3 If se(β2)=212.4477226, construct a 99% confidence interval for the parameter. Pr( ?. ≤β2≤ . )=99% Question 4 If se(β1)=2392.463897, construct a 99% confidence interval for the parameter. Pr( ? ≤β1≤ ?. )=99% Question 5 Under a simple interpretation of the above results, if an individual wishes to earn a monthly salary of R50 000, how many years…Tax Usage Y 26.26666.04 16.32777.73 19.49921.97 29.29484.77 22.73885.77 12.54597.13 The above given table shows the tax and gas fuel use. Find Y' when x = 14.9 =?
- Laetisaric acid is a compound that holds promise for control of fungus diseases in crop plants. The accompanying data show the results of growing the fungus Pythium (y) in various concentrations of laetisaric acid (x). Laetisaric acid concentration (uG/mL) Fungus growth (mm) 0. 33.3 31.0 29.8 27.8 6. 28.0 6. 29.0 10 25.5 10 23.8 20 18.3 20 15.5 30 11.7 30 10.0 Mean 11.500 23.642 Standard deviation 10.884 7.8471 T =-0.98754 %3D a. State the linear regression equation, and with a 0.01 level of significance, predict the amount (in mm) of fungus growth when 25 uG/mL laetisaric acid is applied. Assume the pairs of data follow a bivariate normal distribution and that the scatterplot shows no evidence of a non-linear relationship in the data. b. Determine the percentage of the variation in fungus growth that is explained by the linear relationship between laetisaric acid concentration and fungus growth. Attack EilWater is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)This is a chart with Temperature Anomalies and Time, what does it indicate about global warming if y = 0.0007x - 0.5429R² = 0.1793
- 4. Draw graphs of the % change in moment of inertia against the change in dimension on the X-X axis and Y-Y axis Discuss and compare your results from the two samples. Section / Bar h = 25mm W = 12mm 7 bh² Section 2 (Pipe) Thiz hness= Diameter = 36" उसने 4x=54² 25m 12mm -36mmThe following table gives the regression results of consumption behaviour between female and male. Consumption (C), in RM Model 1 Model 2 Constant 0.7515 0.6587 (0.024) (0.037) Y 0.8603 0.5442 (0.0301) (0.2881) Gen 0.2001 (0.0004) Y*Gen 0.3105 (0.0076) Adjusted R 0.78 0.78 No. of Observations 47 47 Note: Y=income (RM) Gen= Gender ( It is equal to 1 if person is female; 0 is for male) Figures in the parentheses are p- values a) Identify which are the qualitative, quantitative and interaction variable. Refer to Model 1: b) Write the regression equations for female and male. Draw the regression lines for female and male on the same diagram. What can you c) say? d) Interpret all the estimated slope coefficients. e) Conduct an appropriate test to determine whether variable gender is statistically significant at 5%. Should this variable be dropped from this regression model.Complete the missing information for this regression model (df= 23). Y' 1.0 X, .50 X, 25.1 1.2 X, + + (2.1) (1.5) (1.3) (.06) standard errors () () () (11.9) () t ratios () () Significant at .05?