If you reject a joint null hypothesis using the F-test in a multiple hypothesis setting, then: A) a series of t-tests may or may not give you the same conclusion. B) the regression is always significant. C) all of the hypotheses are always simultaneously rejected. D) the F-statistic must be negative. A

A) a series of t-tests may or may not give you the same conclusion

Step-by-step explanation:

F test is a statistical test, used for testing overall significance in a regression model. It denotes, how well - multiple explanatory (or independent) variables in a regression model effect the variation in dependent variable.

Rejecting a f test implies that - the set of multiple explanatory (or independent) variables 'jointly' effect the dependent variable significantly. However the individual independent variables might or might not effect dependent variable (independently) significantly.

So, the individual t tests might or might not give same conclusion.

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.