Suppose you fit the first-order multiple regression model Y = B + BX + BX + e to n = 25 data points and obtain the prediction equation Y = 50.11 + 5.44X + 1.33XThe estimated standard deviations of the sampling distributions of B and B are 0.98 and 0.25, respectively.
a. Test H0: B2 = 0 against Ha: B > 0. Use Alpha = 0.10. to find this out determine test statistic and P-value
b. Find a 99% confidence interval for B.
Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Using data for n = 200 samples, the results below were obtained. Complete parts a through d. (See the attached Table)
a. Write the least squares prediction equation for y = total number of runs scored by a team in a season.
b. Interpret, practically, Bo and B1, in the model. Which statement below best interprets Bo?
c. Conduct a test of Ho: B5 = 0 against Ha: B5>0 at α = 0.05. The test statistic is The p-value is the null hypothesis.
d. Form a 90% confidence interval for B4. Interpret the results.
Researchers developed a safety performance function (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 100 segments of roadway, they fit the model E(y)=β0+β1x1+β2x2, where y=number of crashes per three years, x1=roadway length (miles), and x2=average annual daily traffic (number of vehicles) equals=AADT.
a. Give the least squares prediction equation for the interstate highway model.
b. Give practical interpretations of the β estimates you made in part a. Interpret the value of β0. Choose the correct answer below.
c. Refer to part a. Find a 99% confidence interval for β1.
d. Refer to part a. Find a 99% confidence interval for β2.
e. Give the least squares prediction equation for the interstate non-highway model.
included in the file.
MATH 533 Week 7 | Quiz
- Institution(s): Devry
- Year Published: 2021
- Digital Download: Instant