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A therapist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes she makes on a simple test. The following data is recorded. Determine the equation of the regression line and graph the line on a scatter plot.
Hours without Sleep, Number of Mistakes, 32 638 848 1324 546 735 630 534 842 12
1. Find the r.
2. Is r significant at alpha=.02?
3. Determine the line of best fit.
4. Use the line of best fit to predict the number of mistakes for someone who goes 40 hours with no sleep.
5. Use the line of best fit to predict the number of mistakes for someone who goes 8 hours with no sleep. Does the result make sense? Why or Why not, explain.
a rancher has 1200 meters of fence to enclose in a rectangular corral with another fence dividing it in the middle. what is the largest area that can be enclosed within 1200 mteres.
Important information about Probability and combinations. Assume you have five cards are chosen from a standard deck of 52 playings cards. How many hands contain four aces?
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cassandra bought an antique dresser for $500. if the value of her increases 6^ annually, what will be the value of cassandra's dresser at the end of 3 years to the nearest dollars?
With what initial velocity must an object be thrown upward from the ground to reach the height of a national monument (580 feet)? Use a(t) = -32 feet per second as the acceleration due to gravity. (Round to 2 decimal places.)
The line of action of the 4800-lb force F runs throughthe points A and B as shown in the figure. Determinethe x and y scalar components of F.
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
What similarities and differences do you see between functions and linear equations that you studied in Chapter 3? Are all linear equations functions?
Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 4 - x^2 and the plane y = 2.
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