Question 1: (7 Marks) A study was conducted to measure the effect of weight in kg (X1), height in cm (X) and the amount of fat a person consumes per month in g (X3) on the person's blood pressure (Y). A random sample of 6 people were selected and the following results were attained : X1 X2 X3 Y 50 170 80 70 65 168 110 81 85 170 400 160 70 175 120 85 80 174 230 100 95 173 500 180 Answer the following questions: 1. Construct the equation of the fitted regression line, and interpret the meaning of b3. (1 Mark) [use R program to solve (XX)-'1 2. Estimate the mean of the person's blood pressure when his/her weight is 60kg, height is 160cm, and the amount of fat consumed is 60g. (0.5 Mark) 3. Estimate the variance-covariance matrix of regression coefficients. (1 Mark) 4. Construct the ANOVA table. (1 Mark) 5. Compute and interpret the value of R, and R. (0.5 Mark) 6. Obtain joint interval estimates of B1, B2 and B3, using a 95% confidence coefficient (I Marks)