The following is part of regression output produced by Excel ( for Y vs X1 and X2):

Y

12.9 6.1 1.1 39.7 3.4 5.9 8.9 15 7.3

X1

0.9 0.8 1.0 0.3 0.4 0.7 0.71 0.5 0.9

X2

4.2 3.1 1.2 15.7 2.5 0.7 5.0 6.4 3.0

A) write out the estimated regression equation showing that depends on X1 and X2.

b)if. X1=0.58 and X2=7.0, what is the value predicted for y

c)write the number which is the standard error of the regressions

d) which of the above value is the value of coefficient of multiple determination

e) if asked to do a simpler analysis by using only one of the two variables X1 and X2, which variable would be used?

A family on vacation in San Francisco drives from Golden Gate Park due south on 19th Avenue for 2.2 miles and then turns west on Sloat Boulevard and drives an additional 1.1 mile to go to the zoo. The driving time for this trip is 18 minutes. What is the family’s net displacement for this trip? What is the average speed for the trip? What is the average velocity? (Remember to specify the direction of the net displacement and the velocity vectors. This requires giving a reference, like “of the north”, and a direction the angle is measured, like “east” in the direction “20.0° east of north”.)

a baseball player hits a ball straight up with an initial velocity of 109 miles. Reaches a height of s = 0.03t-0.003t^2 miles after t seconds. What is the speed of the ball when it is at 0.0827 miles off the ground?

(A) A random sample of 18 Kennewick residents looked at how many miles residents were commuting (two ways) to get to work and back. The survey found that the average number of miles they commute had a mean of 23.2 miles round trip, and a standard deviation of 18.1 miles. a.) Calculate a 95% confidence interval for the true mean commute distances of Kennewick residents.

(B) Interpret your interval from part (a.)

The 22,000 students at NCC have mean mileage on their vehicles of µ = 54,000 miles

       with a standard deviation of s = 3,125 miles. Assuming a normal distribution

   a) what is the probability that a randomly selected student has a car with mileage between 55,000
           and 60,000 miles?

b) what percent of student vehicles have mileage above 60,000 miles?

c) how many students have cars with mileage below 50,000?

The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of27 drivers over the age of 60 and finds that the mean number of miles driven is 22.2. The population standard deviation is miles 3.7. At a=0.05, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the P-value method with a graphing calculator

Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are normally distributed, with a mean average speed of 87 miles per hour and a standard deviation of 6.4 miles per hour. (a) What is the probability that a train will average less than 73 miles per hour? (b) What is the probability that a train will average more than 80 miles per hour? (c) What is the probability that a train will average between 90 and 99 miles per hour?

(a) P(x < 73)

(b) P(x > 80)

(c) P(90 ≤ x ≤ 99)

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,875 bus miles and a sample standard deviation of 275 bus miles.

population of bus miles is more than 3,800 (use a 0.01 level of significance)

(a) find the critical value(s) for the test statistic is(are) _

(b) is there sufficient evidence to reject the null hypothesis using a=0.01

(c) Determine the p-value and interpret its meaning

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 50 thousand miles and a standard deviation of 12 thousand miles. Complete parts​ (a) through​ (c) below. a. nbsp What proportion of trucks can be expected to travel between 34 and 50 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 34 and 50 thousand miles in a year is . 4082. ​(Round to four decimal places as​ needed.) b. nbsp What percentage of trucks can be expected to travel either less than 40 or more than 65 thousand miles in a​ year?

The percentage of trucks that can be expected to travel either less than 40 or more than 65 thousand miles in a year is ______%. ​(Round to two decimal places as​ needed.)