A world wide fast food chain decided to carry out an experiment to assess the influence of income on number of visits to their restaurants or vice versa. A sample of 8 households was asked about the number of times they visit a fast food restaurant (V) during last month as well as their monthly income (1). The data presented in the following table are the sums and sum of squares. (use 2 digits after decimal point) ZI = 393 EI = 21027 { ( 1-bar )" = 551 = 1720.88 Z V = 324 EV = 14272 { (V-Vbar ) = 55V = 1150 [ IV = 17007 { [ ( 1-bar )( V-Vbar) ] =5SIV=1090.5 a. Compute sample correlation coefficient. r= b. Test correlation coefficient for significance. (hint: p is population correlation coefficient) Null Hypothesis is O Ho: p>0 O Ho: p20 Ho: p0 O H,: pso Test statistic is Critical Value of the test at a=59% is Does your findings support the hypothesis that as income increases, number of visits also increases at 59% significance level? O May be O Yes O No c. Find the linear regression equation of visits based on income. Estimated visit = Income d. Find the linear regression equation of income based on visits. Estimated income = Visit e. Which model is more deterministic? (hint: use coefficient of determination to decide) O Model in part (c) O Model in part (d) O They are equivalent