Given the linear regression model: Yi = Bo+B1x1 + ẞ2xi2 + Єi, i = 1,..., n Consider the following sums from n = 10 observations on Y, X1, and X2: 10 10 10 Σ3 = 20, Σ i=1 10 Συ? = 98.2, i=1 i=1 10 10 10 71 =0.0, Σ i=1 10 x12 = 0.0 Σαμ = 92, Σα? i=1 = 163 i=1 10 Σ Yixil = 59, Yixi2 = 88, Xi1i2=119 i=1 i=1 i=1 Explore the following steps: 1. Construct the XTX matrix and the vector XTy. 2. Calculate the least-squares estimates of Bo, B₁, and ẞ2, along with the residual sum of squares, SSE. 3. Investigate the hypothesis that the coefficient of X 2, represented by 32, is zero.

Suppose the following regression equation was generated from the sample data of 50 cities relating number of cigarette packs sold per 1000 residents in one week to tax in dollars on one pack of cigarettes and if smoking is allowed in bars: PACKS, = 59682.369232-1108.267218TAX + 176.926159BARS; + eį. BARS 1 if city i allows smoking in bars and BARS; = 0 if city i does not allow smoking in bars. This equation has an R² value of 0.347972, and the coefficient of BARS, has a P-value of 0.133971. Which of the following conclusions is valid? Answer 2 Points Keypad Keyboard Shortcuts According to the regression equation, cities that allow smoking in bars have lower cigarette sales than cities that do not allow smoking in bars. Regardless of whether or not there is a smoking ban, if a city increases its cigarette tax by one dollar cigarette sales will increase by approximately 1108 packs. ○ If there is no cigarette tax in a city that allows smoking in bars, the approximate number of cigarette…

Q3. Find out the regression coefficients of Y on X and of x on Y on the basis of following data: Ex = 50, X = 5, EY = 60, Y = 6, EXY = 350 Variance of X= 4, Variance of Y= 9

Q22. Find out the regression coefficients of Y on X and of X on Y on the basis of following data: ΣΧ- 50 X = 5, Er = 60, F=6, ΣΧΥ-350 Variance of X= 4, Variance of Y= 9