Question 6 1 pts In a study conducted by University of Arizona researchers, the total weight (in pounds) of garbage discarded in one week and the household size were recorded for 62 households. The linear correlation coefficient is r = 0.759 and the regression equation is y= 0.445 + 0.119x, where x represents the total weight of discarded garbage. The mean of the 62 garbage weights is 27.4 pounds and the 62 households have a mean size of 3.71 people. What is the best predicted number of people in a household that discards 50 pounds of garbage? Round to the nearest hundredth. Question 7 1 pts A sample of 40 women is obtained, and their heights (in inches) and pulse rates (in beats per minutes) are measured. The linear correlation coefficient is 0.202 and the equation of the regression line is y= 18.2 + 0.920x, where x represents height (based on data from the National Health Examination Survey). The mean of the 40 heights is 63.2 in. and the mean of the 40 pulse rates is 76.3 beats per minute. Find the best predicted pulse rate of a woman who is 70 inches tall. Please round to the nearest tenth. Question 8 1 pts Examine the scatter-plot below and select all reasons why we should not make prediction for x =5 [ Select ] 40 30 Score on Standardized Test 20 10 0- 10 Age in Years Question 9 1 pts A residual is the difference between the actual value of y and the predicted value of y' for a given x value (y-y') Consider the following data: x 1 2 3 4 5 10 8 12 16 20 The equation of the regression for the data above is y'=4.8+2.8x. Find the residual for x= 1 Find the residual for x= 2 Find the residual for x= 4 Question 10 1 pts Based on the following table construct a residual plot and determine whether a relationship is linear. 8 10 6 12 14 20 25 30 predicted 5 11 15 17 21 value (= 1 0words > Question 11 1 pts A residual plot is a plot in which the residuals are plot ted against the value of the explanatory variable x. When a residual plot exabits a noticeable pattern, the variables do not have a linear relationship, and the least square regression line should not be used. When a residual plot exabits no noticeable pattern, the least square regression line may be used to describe the relationship between the variables For each of the following residual plots, determine whether a linear model s appropriate. is The residual plot in (a) [ Select ] " and thus the least -square regression line [ Select The residual plot in (a) [ Select ] and thus the least -square regression line [ Select ]