A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat
terplot shows the height, in centimeters (cm), and the foot length, in cm, for each high school senior from the sample. The least-squares regression line is shown. The computer output from the least-squares regression analysis is also shown. (a) Calculate and interpret the residual for the high school senior with a foot length of 20cm and a height of 160cm .
The equation for the best fitting line is y = 2.599x + 105.08. When x is set to 20, the predicted height becomes y = 157.06. However, the actual height recorded is 160 cm, therefore, the residual is calculated as:
Her phrasing suggests that she would sell numerous water bottles and just a single iced tea. The accurate equation should be 1.25x + 1.49y = 100, as she may offer varying quantities of both.
Initial cost = 16000
depreciation rate = 35%
remaining value = 2000
depreciation over one year = 16000*35% = 5600
5600*2 = 11200 + 5600*6\12 = 2000
The car is aged 2.5 years, accounting for two full years and an additional half year of depreciation.
Let x = 6.2 Define y as half of x: y = 0.5x Calculate y: y = 0.5 × 6.2 = 3.1 Calculate z by subtracting x and y from 14.5: z = 14.5 - 6.2 - 3.1 = 5.2 Each variable corresponds to a triangle side