For a certain population, a health and nutrition survey finds that: the average weight is 175 pounds with a standard deviation of 42 pounds, the average height is 67 inches with a standard deviation of 3 inches, and the correlation coefficient is 0.7. Furthermore, the scatterplot of height on weight is an oval-shaped cloud of points. Required:
Set up the regression equation that predicts weight based on height, and express it in slope-intercept form.

step-by-step explanation:

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answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.