Suppose you were presented with the following prediction regression equation: Yhat = 30,000 + 2,000 (X) where the dependent variable is annual salary and the independent variable is years on the job. Interpret the value of the y-intercept (i.e., constant) and the value of the slope. Be as thorough as possible in your answer!
Interpretation of y-intercept :
30,000 estimated annual salary when zero years on the job
Interpretation of slope :
2,000 estimated annual salary increase for every additional year on the job.
Suppose you were presented with the following prediction regression equation: Yhat = 30,000 + 2,000 (X)...
. Write a regression equation for annual salary where y is the dependent variable (salary) and x is the independent variable (MONTHS of education) assuming you receive no fixed salary and you have 5 years of education
) Interpret the value of the slope (rounded to two decimal places) in the regression equation found in part 1c in the context of the question, using a complete sentence. 1f) State and interpret the value of the coefficient of determination (R-sq expressed as a percentage) found in part 1c in the context of the question in a complete sentence. 1g) Use the regression equation (with both intercept and slope rounded to two decimal places) to predict the final selling...
Given 2 variables, temperature and coats sold. Which is the independent variable and which is the dependent variable? Why? 1. 2. What is a regression of temperature vs coats sold meant to tell you? (be exact) For the regression of coats on temperature, would you expect the coefficient for the slope of the independent variable to be positive or negative? Why? 3. 4. Interpret the following equation: Y-30K + 0 X, where y-salary, x-years of education 5. Interpret the following...
Linear Regression and Prediction perform a linear regression to determine the line-of-best fit. Use weight as your x (independent) variable and braking distance as your y (response) variable. Use four (4) places after the decimal in your answer. Sample size, n: 21 Degrees of freedom: 19 Correlation Results: Correlation coeff, r: 0.3513217 Critical r: ±0.4328579 P-value (two-tailed): 0.11837 Regression Results: Y= b0 + b1x: Y Intercept, b0: 125.308 Slope, b1: 0.0031873 Total Variation: 458.9524 Explained Variation: 56.6471 Unexplained Variation: 402.3053...
Applying Simple Linear Regression to Your favorite Data. Many dependent variables in business serve as the subjects of regression modeling efforts. We list such variables here: Rate of return of a stock Annual unemployment rate Grade point average of an accounting student Gross domestic product of a country Salary cap space available for your favorite NFL team Choose one of these dependent variables, or choose some other dependent variable, for which you want to construct a prediction model. There may...
Questions 6, 7, 10, 11 and 12.
Question 6 1 pts Select the appropriate equation for the line of prediction from the SPSS output. Coefficients Standardized Coefficients Beta Sig. Unstandardized Coefficients Model B Std. Error 1 (Constant) 3.977 1.193 Variable 1 414 096 Variable 2 -2019 2011 a. Dependent Variable: Outcome (Y) 458 -181 t 3.333 4.313 -1.704 .001 000 ,093 O Yhat = 3.977 +4.313X1 - 1703X2 Yhat - 3.977 +0.458X, -0.181X2 Yhat = 3.333+4.313X1 - 1703X, Yhat =...
In the regression equation, what does a denote? a. Score on the variable x b. Value of the slope of the line c. Variable to be predicted d. Intercept with the y-axis In a regression equation, if the y intercept = 0, then where does the line of best fit intercept the y axis? a. The line of best fit intercepts the origin. b. The line of best fit intercepts the Y-axis above the Y-axis. c. The line of best...
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QueSLIVIT TO Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.99313 0.98630 R Square Adjusted R Square Standard Error 0.98238 2.94802 10 Observations ANOVA df SS MS Significance F Regression 4379.182 2189.591 251.943 0.0000 Residual 7 60.836 8.691 9 Total 4440.017 Coefficients Standard Error t Stat P-value Lower 95% 14.169 3.856 3.674 Intercept 0.008 5.050 X Variable 1 0.985 0.114 8.607 0.000 0.714 X Variable 0.995 0.057 17.498 0.000...
58. The equation of a regression line is Y = 20 +5X where X = hours studied and Y = exam score. Interpret the slope. a) As study time increases by 5 hours, exam score increases by 20 points on average. b) As study time increases by 1 hour exam score increases by 5 points on average. c) As study time increases by 5 hour exam score increases by 1 point on average. d) We expect a student who does...
If you were to develop a linear regression equation that uses autonomy at work to predict job satisfaction, what would be the Y-Intercept (a) of the regression equation? Use the slope (b) obtained from the previous question to answer this question. Autonomy Job satisfaction (Y) n 8 8 Mean My=4 My 7 Variability SSX-28 SSY - 156 SP-56 Pearson r.85 -10 1 2 pts Question 43 Correlation' is to 'regression' as significance to non significant 'samples are to populations relationship...