*11.6 Test for the statistical significance of the regression line using the t test.
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Please solve 11.6,11.7 and 11.8 (not use Minitab)
For 11.7 y=a+bx= 1895+112x
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- The individual residual scores from a sample of participants regarding the difference between the predicted Y values from a regression equation and the actual Y from the data are provided here. Y - Ŷ = 3,8,1,2,2. What is the value for the standard error of estimate?You want to look at an ANOVA table of a regression in which a dependent variable is predicted using an intercept and one slope coefficient. Unfortunately, as you want to look at the table, you knock over your coffee mug which smudges out some of the numbers. Here is what you still can read: • n=7 • F-ratio = 15 • Residual sum of squares (RSS) = 16 • t-score of the slope coefficient = 3.873 How big is the explained sum of squares (ESS)? a 44 b 52 c 48 d 40 How big is the total sum of squares (TSS)? a 64 b 52 c 60 d 56 How big is the explained R-squared? a 0.7 b 0.75 c 0.8 d Cannot be determined What's the p-value for the F-ratio? a 0.012 b 0.024 c 0.036 d…how to plot the estimated regression line on the scatter diagram in letter c and how to solve for letter d with graph
- What is the differed annual expenditures of two families if their annual net incomes are differed by 2000? The computed regression line has a value of a=4.32 and b=2.12.If the coefficient of determination is 0.298, what percentage of the data about the regression line is unexplained?11. What is the standard error of the slope of the regression line (SEb)? Please put the answer in bold.
- You estimated a single regression relating the annual bonus given to employees of big corporations to the age of those employees. Your simple regression shows a positive value for the slope coefficient. You are absolutely convinced that the true effect of age on bonus amount is negative, so you think you have an omitted variable bias. If you are correct, which of the following is true about the omitted variable? There is some (omitted) variable that positively affects bonus amount and that is positively correlated with age. There is some (omitted) variable that negatively affects bonus amount and that is completely uncorrelated with age. There is some (omitted) variable that positively affects bonus amount and that is negatively correlated with age. There is some (omitted) variable that positively affects bonus amount and that is completely uncorrelated with age.What kind of plot is useful for deciding whether it is reasonable to find a regression plane for a set of data points involving several predictor variables?If the linear correlation coefficient between the explanatory variable (x) and response variable (y) is r = 0.73, the slope of the regression line is negative O not enought information to answer O positive
- Use your sample database that you obtained from given population database with variables EFFICIENCY (Scores range between 50 to 100), SALARY (range between 10000 to 30000 TL), JOB EXPERIENCE (range between 1 to 30 years), GENDER (male=1; female=2), DEPARTMENT (department A=1, department B=2, department C=3, ) ; perform categorical regression analysis, assuming that efficiency is dependent variable. How can i do this question in spss12. ANOVA for Verbal SAT as a Predictor of GPAHow well does a student’s Verbal SAT score (on an 800-point scale) predict future college grade point average (on a four-point scale)? Computer output for this regression analysis is shown below, using the data in StudentSurvey. The regression equation is GPA=2.03+0.00189VerbalSAT Analysis of Variance Source DF SS MS F P Regression 1 6.8029 6.8029 48.84 0.000 Residual Error 343 47.7760 0.1393 Total 344 54.5788 VerbalSAT GPA 540 3.13 520 2.5 550 2.55 490 3.1 720 2.7 600 3.2 640 2.77 660 3.3 550 2.8 670 3.7 500 2.09 580 530 2.9 650 3.08 700 590 3.86 600 3 700 3 610 3.35 550 3.3 550 3.4 560 2.9 560 3.5 550 3 550 3.3 700 3.7 610 3.48 570 3.4 550 2.5 500 3.3 610 3.5 610 3.79 500 3.3 640 2.9 490 2.68 560 3.28 560 3.51 470 2.6 680 3.85 570 2.4 630 3.4 580 2.4 550 3 490 3.1 590 2.94 620 3.31 560 3.3 630 2.9 600 3.4…• In a political science class, the teacher gives a midterm exam and a final. The association between midterm and final scores is linear. The summary statistics are shown below. Midterm Mean=75, Midterm Standard Deviation=10 Final Mean=75, Final Standard Deviation=10 r=0.8 According to the regression equation, for a student who gets 85 on the midterm (one standard deviation above average) what is the predicted final exam grade? 83 85 70 75