Use the following to answer the question(s) below.
A linear regression model was fit to data representing technology adoption over time. The regression output and residual plot appears below.
-Based on the output and plot, which of the following statements is not true?
A) According to the regression output, the model explains 82.5% of the variability in Technology Adoption. However, the residual plot shows a pattern and curvature.
B) The scatter plot of the residuals against the predicted values shows a pattern. A regression model applied to the data is questionable.
C) The t-test for the regression slope indicates that it is significantly different from zero, but the residual scatter plot shows that Equal Variance assumption is violated.
D) The regression model is applied to the time series data. The residual plot suggests that the Independence assumption might be violated. We have to use Durbin-Watson statistic to detect autocorrelation.
E) The plot shows that all assumptions and conditions for regression inference are met. R2 and P-value report that there is strong correlation between Technology Adoption and Time.

Question

Use the following to answer the question(s) below.
A linear regression model was fit to data representing technology adoption over time. The regression output and residual plot appears below.  
-Based on the output and plot, which of the following statements is not true?
A) According to the regression output, the model explains 82.5% of the variability in Technology Adoption. However, the residual plot shows a pattern and curvature. 
B) The scatter plot of the residuals against the predicted values shows a pattern. A regression model applied to the data is questionable. 
C) The t-test for the regression slope indicates that it is significantly different from zero, but the residual scatter plot shows that Equal Variance assumption is violated. 
D) The regression model is applied to the time series data. The residual plot suggests that the Independence assumption might be violated. We have to use Durbin-Watson statistic to detect autocorrelation. 
E) The plot shows that all assumptions and conditions for regression inference are met. R2 and P-value report that there is strong correlation between Technology Adoption and Time.

Quizplus · Accepted Answer

The presence of patterns or curvature in the residual plot, as mentioned in options A, B, and C, indicates that not all assumptions for regression inference are met, contradicting the statement in option E. Option D also suggests a potential violation of the independence assumption, which is another indication that not all conditions for regression inference are satisfied.

Use the Following to Answer the Question(s) Below