Autocorrelation is a problem because it causes the Select one: a. estimated standard errors to be incorrect. b. data to be spuriously correlated. c. estimated standard errors to always be too small. d. estimated slope coefficients to be biased. Clear my choice
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- A researcher wants to include the variable "skill" in a regression, but cannot find a proper metric to measure it, so they just decide not to include it in the model. You know how to measure skill and run the regression with it included and find that some of the original coefficients change. What would explain this? Oa. The covariance between skill and each of the other regressors is zero. O b. The B for skill is zero. Oc. The covariance between skill and each of the other regressors is not zero. O d. The variance of skill is increasing. What are the forecasts for years 7,-8 and 9 using the following data and a second-order autoregressive model where = -3.06, $1 = 0.86 and $2 = 0.94. Year Data 4. 6. 8. 13 16 19 3. 4. O a. =11.980 8=14.800 9 = 23.561 Ob. 7= 28.320 8 39.155 g 57.234 O c. 7=31.140 f8 = 47.916 Models in which all the error terms have the same variance are said to exhibit... O a. Multicollinearity. O b. Homoscedasticity O C. Heteroscedasticity. O d. Autocorrelation. Clear…Please answer the following including the conditions that need to be met and how to compute the answer using a graphing calculator. Thank you.If the linear correlation between two variables is negative, what can be said about the slope of the regression line? ..... Choose the correct answer below. A. More information is needed B. Negative C. Positive
- 1.An office supply company services copiers and tracks how many machines are serviced and the length of time (in minutes) for a service call. The data below for 11 clients is below. Sum X = 46 Sum Y= 234 Sum XY = 5797 Sum X2 =1180 Sum Y2 =146608 1) Calculate SSYY, SSXX, SSXY 2) Calculate b0, b1 3) Interpret the estimated slope coefficient.C) If Ariel converted her variables into standard deviation units and then computed her regression equation, what would her slope and intercept be?
- Kenneth is studying the relationship between the time spent exercising per day and the time spent outside per day. Data were collected ranging from 20 minutes to 90 minutes per day exercising. The line of best fit for the data is given below. Assume the line of best fit is significant and there is a strong linear relationship between the variables. y= 0.13x + 40.5 Answer the following (each is equally weighted): 1. Identify the explanatory and response variables (make sure your answer is related to the application and not just in terms of x and y). 2. According to the line of best fit, what would be the predicted number of minutes spent outside for someone who spent 70 minutes exercising? 3. Would it be appropriate to use this model to predict the number of minutes spent outside for someone who spent 0 minutes exercising? Why or why not (remember to include appropriate terminology).A. Interpret the slope of coefficient . B. Interpret the value of coefficient of determination . c. Using the decision rule based on (-statistic, test at the 10% significatice level whether or not there is a linear relationship between advertising expenditure and sales. In other words, test the following hypotheses: H0 : B1 = 0 (there is no relationship) H1 : B1 ≠ 0 (there is a relationship)4. Residuals are... the difference between observed and values the model. B. data collected from individuals that is not consistent with the rest of the group. C. none of these D. possible models not explored by the researcher. E. variation in the data that is explained by the model. 5. If the point in the upper right corner of this scatterplot is removed from the data set, then what will happen to the slope of the line of best fit (b) and to the correlation (r)? A. b will increase, and r will decrease. b will decrease, and r will increase. C. both will decrease. D. both will increase. E. both will remain the same. 6 An 8th grade class develops a linear model that predicts the number of cheerios (a small round cereal) that fit on the circumference of a plate by using the diameter in inches. Their model is: # cheerios = 0.56 +5.11(diameter). The slope of this model is best interpreted in context as... A. For every 5.11 inches of diameter, the circumference is about 1 cheerio bigger. B.…
- 5When attempting to predict job performance using personality traits, researchers typically assume that the relationship is linear. A study investigated a curvilinear relationship between job task performance and a specific personality trait-conscientiousness. Using data collected for 602 employees of a large public organization, task performance was measured on a 30-point scale (where higher scores indicate better performance) and conscientiousness was measured on a scale of -3 to +3 (where higher scores indicate a higher level of conscientiousness). 1. The coefficient of correlation relating task performance score to conscientiousness score was reported as r = 0.18. Explain why the researchers should not use this statistic to investigate the curvilinear relationship %D between task performance and conscientiousness. 2. Give the equation of a curvilinear (quadratic) model relating task performance score (y) to conscientiousness Score (x). 3. The researchers theorized that task…Hawk thinks his heartrate will increase as he increases his skateboarding speed. To see if this relationship exists, he records six different speeds and models it with a scatterplot and regression output. Part A: Write the equation of the regression line using the regression output. Part B: What do the slope and intercept parameters mean using the context of the problem? Part C: Compute the margin of error that Hawk should use if he wants to provide a 99% confidence interval for the slope. Assume that conditions for inference are satisfied.
