The Social Progress Index (see www.socialprogressimperative.

org) is a measure of national progress in delivering social and environmental value.

It is an average of three component measures: BHN =

basic human needs, incorporating basic medical care and personal safety; FW = foundations of well-being, incorporating access to basic knowledge and ecosystem sustainability; and Opp = opportunity, incorporating personal rights and access to advanced education. The SocialProgress data file at the text website shows the values for SP = social progress index and its three components, for nations in Europe and North America.

(a) Construct a scatterplot matrix for the four variables.

Interpret.

(b) Construct a correlation matrix for the four variables.

Interpret.

(c) Regress SP on BHN and FW. Report the prediction equation and interpret the effects.

(d) Show how R2 changes when you regress SP on

(i) BHN, (ii) BHN and FW, (iii) BHN, FW, and Opp.

Interpret.