A nutritionist, studying the relationship between mean calorie intake per day and weight loss per week, collected the following data from a sample of 8 weight watcher's club members, Calorie Intake/day (x) 600 2,000 1 ,200 1,700 800 I ,SOO 2.200 I SOOO Weight Loss (gram)/wcek (y) 890 290 320 280 660 360 140 480 To save computational time, you may use the following sums and sums of squares and cross-products for subsequent calculations: 11,000 3,420 ssxx - 2,205.000 ssyy - ssxy -872,500 a. Find thc values of a and b in the least square lincy a + bx for predicting the Weight Lowtweek (y) as a function of Calorie Intake/day (Note: Express a and b to 2 decimal places of accuracy.) Least square regression line: + bx b. Use the equation of the regression line in part (a) to predict *Weight Loss/week" if the "Calorie Intake/day- is 900 Round the value to 2 decimal places of accuracy and enter in the answer box. c. Compute the linear correlation coemcient between "Weight Loseweek and "Calorie Intake'day Express answer to 2 decimal places of accuracy. d. Test at a 0.1 level of sil nificance whether the correlation coemcient p is negative. Complete the table below, round t-values to three decimals. ritical Value of est Statistic Value eject 110? Enter I if you cjcct, ter 2 Otherwise)