Alocal trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles). the fitted regression is time = −7.126 + 0.0214 distance, based on a sample of 20 shipments. the estimated standard error of the slope is 0.0053. find the value of tcalc to test for zero slope.

4.038

Step-by-step explanation:

The simple regression model is:

, then .

The statistic calculated for the hypothesis test of statistical significance, for the slope, in a simple regression model is given by:

with  the slope estimator,  the value of slope in the null hypothesis and the standard error of the slope. Thus,

the answer is b

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3