A company that focuses on research and development (R&D) is interested in the relationship between profit and some variables that can explain profit variations. They want to predict the profits of some new and exciting projects because some are risky. The predictor variables considered are: RISK which is a company derived metric, R&D which is the research and development costs, REGION (WC, EC and KZN) and average per capita income (INCOME in R1000.00). The analyst decides to estimate the regression function with the following response function. Ý (profit) = bo + b₁XRisk + b₂XR&D +b3Xwc + b₁XEC + b5XINC Answer the following questions. 4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical and visual conclusions. Use the following results to show the process of establishing by using

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A company that focuses on research and development (R&D) is interested in the relationship between
profit and some variables that can explain profit variations. They want to predict the profits of some
new and exciting projects because some are risky. The predictor variables considered are: RISK which
is a company derived metric, R&D which is the research and development costs, REGION (WC, EC
and KZN) and average per capita income (INCOME in R1000.00).
The analyst decides to estimate the regression function with the following response function.
Y (profit) = bo + b₁XRisk + b₂XR&D +b3Xwc + b₁XEC + b5XINC
Answer the following questions.
4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical
and visual conclusions. Use the following results to show the process of establishing by using
5
extra sums of squares whether there is that multicollinearity present or not. Explain and interpret
in detail.
SSR (X) = 2573.72, SSR(X₁) = 2600.7, SSR(X₂| X₁)= 1573.72, SSR(X₁| X5) = 400.2.
Transcribed Image Text:A company that focuses on research and development (R&D) is interested in the relationship between profit and some variables that can explain profit variations. They want to predict the profits of some new and exciting projects because some are risky. The predictor variables considered are: RISK which is a company derived metric, R&D which is the research and development costs, REGION (WC, EC and KZN) and average per capita income (INCOME in R1000.00). The analyst decides to estimate the regression function with the following response function. Y (profit) = bo + b₁XRisk + b₂XR&D +b3Xwc + b₁XEC + b5XINC Answer the following questions. 4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical and visual conclusions. Use the following results to show the process of establishing by using 5 extra sums of squares whether there is that multicollinearity present or not. Explain and interpret in detail. SSR (X) = 2573.72, SSR(X₁) = 2600.7, SSR(X₂| X₁)= 1573.72, SSR(X₁| X5) = 400.2.
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