used to measure the five constructs, and a single factor analysis was conducted. The goal of the factor analysis is to verify whether all the measured items that belong to a particular construct load on the same factor and do not cross-load on other factors. Definitions: - Advertising Tone (X1): The degree to which a survey participant perceives influencer posts like advertising. - Involvement (X2) : A survey participant's perceived importance of the influencer's product category (e.g., fashion). - Social Influence (X3) : A survey participant's perceived degree to which friends and family influence what brands and products he or she buys. - Behavioral Customer Engagement (M): A survey participant's intention to like, comment, or share the influencer's posts in the future. - Purchase Intention (Y) : A survey participant's intention to purchase the products promoted by the influencer's posts in the future. a) To answer the question, please consider the Rotated Factor Matrix 1. As you can see in Rotated Factor Matrix 1, only four factors were extracted, although the items measure five different constructs. Please explain a possible reason for this in at least three full sentences. Also, explain possible actions that would be necessary to extract valid factor scores from this set of items using at least two full sentences. Hint: Do any of the items in Rotated Factor Matrix 1 significantly cross-load on another factor (in addition to their main factor, where they have the highest loading). If yes, please explicitly list these different items, and their cross-loading and incorporate them in your answer. (9 marks) b) To answer the question, please consider the Rotated Factor Matrix 2 and Variable View 1. The Business Analytics Institute conducted another survey, and this time measured Advertising Tone with five items, Involvement with four items, and Social Influence with four items. You can see the results of a factor analysis across these items in Rotated Factor Matrix 2. When examining the data, you see that three new factor scores have been saved (see Variable View 1). Please rename the different factors according to the construct that they are measuring. ( 6 marks) Q1: Rotated Factor Matrix 1 Factor Extraction Method: Principal Axis Factoring. Rotation Method: Varimax with Kaiser Normalization. Q1: Rotated Factor Matrix 2 Rotation Method: Varimax with Kaiser Normalization. Q1: Variable View 1