Data Analysis - Module 4: Modelling Techniques

What is the main purpose of linear regression in predictive modeling?

• To maximize the squared error

• To predict one variable using another while minimizing the squared error

• To forecast data without considering errors

• To find the maximum error in prediction

In the regression equation ŷ = b0 + b1x1 + b2x2, what does ŷ represent?

• The independent variable

• The predicted test score

• The regression coefficient

• The standard error

Which statistic indicates the goodness of fit in a regression model?

• Multiple R

• Adjusted R Square

• Standard Error

• R Square

What does a p-value less than 0.05 indicate in the context of regression analysis?

• The model is likely due to randomness

• The model is statistically significant

• The independent variables do not contribute to the model

• The regression coefficients are not reliable

According to the regression statistics, what does an Adjusted R Square value of 0.8782 indicate?

• 87.82% of the variance in the dependent variable is explained by the model

• 87.82% of the independent variables are irrelevant

• The model is not a good fit

• The standard error is 87.82

Which step in the IBM SPSS predictive analytics process involves setting campaign objectives and choosing the product or service to offer?

• Set up the analysis

• Create the model

• Assess the business impact

• Apply business knowledge

What is a key feature of business intelligence software solutions regarding data preparation for predictive analytics?

• They allow you to predict without any input data

• They offer data cleaning features such as data elimination and harmonization

• They eliminate the need for data scientists

• They always guarantee 100% accurate predictions

When using the regression equation ŷ = 23.156 + 0.505 * IQ + 0.467 * Hrs, what would be the predicted test score for a student with an IQ of 110 and studying 20 hours a week?

• 78.656

• 93.896

• 89.996

• 102.856

In the ANOVA table for regression analysis, what does a Significance F value of 0.000261671 indicate?

• The model is not significant

• The model's significance is due to randomness

• The model is highly significant

• The independent variables have no effect on the dependent variable

What does the regression coefficient for IQ (0.509433962) suggest in the regression equation for predicting test scores?

• For every unit increase in IQ, the test score increases by 0.509

• For every unit increase in IQ, the test score decreases by 0.509

• IQ has no impact on the test score

• The test score is only affected by study hours