A staff analyst for a cafeteria chain wishes to investigate the relation between the number of self-service coffee dispensers (X) in a cafeteria line and sales of coffee (Y) 1. Estimate the linear regression line. Graph the line on the scatter plot. 2. Estimate the quadratic regression equation. Graph the curve on the scatter plot. 3. Does the second order model provide significantly more predictive power than that provided by the straight-line model at a= 0.05? Explain. (Show calculations) 4. Which of the two models do you recommend and why? 5. Would the third order model be any better? Explain showing calculations and computer output. 6. Attach appropriate computer output to support your answers.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

i believe it is 0.1m because the measurement of 30.4m limits how precise you can be

you can only be as precise as the least precise measurement