A nutritionist wants to understand the influence of income and healthy food on the incidence of smoking. He collects data on the percentage of smokers in each state in the US. and the corresponding median income {in $} and the percentage of the population that regularly eats fruits and vegetables. 3 Click here forthe Excel Data File a. Estimate: Smoke = 59 + 6va + zlncome + E. {Negative values should be indicated by a minus sign. Round your answers to 4 decimal places} mm a b. At the 5% level of signicance, are the explanatory variables jointly and individually signicant? @ Yes, since the ttests as well as the Ftest are signicant. 0 Yes, since the Ftest is signicant. 0 Yes, since the Itests are signicant. c-'I. Find the sample correlation coefficient between FV and Income. {Round your answer to 4 decimal places.) Sample correlation caeidenl I I cZ Is multicollinear'rty a potentially serious problem? 0 Yes, since the residuals are not randomly dispersed. O No, since the sample correlation is less than 0.80. O No, since the residuals are randomly dispersed. 0 Yes. since the sample correlation is more than 0.80.