Use the following table for #1-4 Researchers believe that lean body mass is an important inuence on metabolic rate. In a study on dieting, the lean body mass, in kilograms, and resting metabolic rate of 12 women was recorded. 36.1 54.6 48.5 42 50.6 42 40.3 33 .1 42 .4 34.5 51.1 41.2 2 Explain why it is most appropriate to use Pearson's correlation coefficient in this case. a Calculate Pearson's correlation coefficient and interpret the result. Calculate the least squares regression line. For what range of body mass would the regression line provide a reliable estimate?A class took a mathematics test {marked out of 80] and an English test {marked out of 100} and the results are given in the table below. 15 25 37 45 72 74 78 18 79 79 44 47 42 49 44 54 59 69 78 89 2 Explain why it is not appropriate to use Pea rson's correlation coefcient in this case. 5 Calculate Spearman's rank correlation coefficient and interpret the result. Show Your WorkThe number of calories in a food item depends on many factors, including the amount of fat in the item. The data below show the amount of fat (in grams) and the number of calories in 7 beef sandwiches at MacRonald's. Sandwich Fat Calories Big Ron 29 550 113g with Cheese 26 520 226g with Cheese 42 750 Hamburger 9 250 Cheeseburger 12 300 Double Cheeseburger 23 440 Mac Twice 19 390 Calculate the coefficient of determination and interpret the result