1. The number of raisins in mini-boxes for two brands are shown below: Brand A 22...

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1. The number of raisins in mini-boxes for two brands are shown below: Brand A 22 27 20 29 24 31 25 26 Brand B 26 29 25 35 24 33 31 27 (a) Find the mean, median and mode for each brand. (b) Find the upper quartile of Brand A and the lower quartile of Brand B. (c) The mini-boxes were made in 8 different machines corresponding to each column in the table above. Calculate the Spearman rank correlation coefficient and interpret its value. 2. We are interested in assessing the potential impact of the growth rate (x) of the Gross National Product (GNP) on the birth rate (y) of a country. The table below provides data for these quantities for 12 countries: Country Birth rate (y) GNP growth rate (x) Brazil 30 5.1 Colombia 29 3.2 Costa Rica 30 3.0 India 35 1.4 Mexico 36 3.8 Peru 36 1.0 Philippines 34 2.8 Senegal 48 -0.3 South Korea 24 6.9 Sri Lanka 27 2.5 Taiwan 21 6.2 30 4.6 Thailand The summary statistics for these data are: Sum of x data: 40.2 Sum of the squares of x data: 184.04 Sum of y data: 380 Sum of the squares of y data: 12,564 Sum of the products of x and y data: 1,139.7 (a) Draw a scatter diagram of these data. Label the diagram carefully. (b) Calculate the correlation coefficient. Interpret your findings. (c) Calculate the least squares line of y on x and draw the line on the scatter diagram. (d) Obtain the predicted birth rate value of a country with a GNP growth rate of 5.0 according to the equation in (c). Would you use this value to predict the birth rate of this country? Justify your answer. 1. The number of raisins in mini-boxes for two brands are shown below: Brand A 22 27 20 29 24 31 25 26 Brand B 26 29 25 35 24 33 31 27 (a) Find the mean, median and mode for each brand. (b) Find the upper quartile of Brand A and the lower quartile of Brand B. (c) The mini-boxes were made in 8 different machines corresponding to each column in the table above. Calculate the Spearman rank correlation coefficient and interpret its value. 2. We are interested in assessing the potential impact of the growth rate (x) of the Gross National Product (GNP) on the birth rate (y) of a country. The table below provides data for these quantities for 12 countries: Country Birth rate (y) GNP growth rate (x) Brazil 30 5.1 Colombia 29 3.2 Costa Rica 30 3.0 India 35 1.4 Mexico 36 3.8 Peru 36 1.0 Philippines 34 2.8 Senegal 48 -0.3 South Korea 24 6.9 Sri Lanka 27 2.5 Taiwan 21 6.2 30 4.6 Thailand The summary statistics for these data are: Sum of x data: 40.2 Sum of the squares of x data: 184.04 Sum of y data: 380 Sum of the squares of y data: 12,564 Sum of the products of x and y data: 1,139.7 (a) Draw a scatter diagram of these data. Label the diagram carefully. (b) Calculate the correlation coefficient. Interpret your findings. (c) Calculate the least squares line of y on x and draw the line on the scatter diagram. (d) Obtain the predicted birth rate value of a country with a GNP growth rate of 5.0 according to the equation in (c). Would you use this value to predict the birth rate of this country? Justify your answer.