Question

suppose we are given the following information: sample size (n) = 100 standard error of the...

suppose we are given the following information:

sample size (n) = 100

standard error of the slope of the regression line (SEb1) = 2

y=100 + 4x

a.) What is the test statistic to test the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero?

b.) what is the P-value for a test of the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero?

c.) is there a statistically significant linear relationship between the response and explanatory variable when the significance level, α, is .01?

d.) what is the predicted value of the response when x = 5?

e.) suppose an observed response value is 150 when x = 5. what is the value of the residual?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
suppose we are given the following information: sample size (n) = 100 standard error of the...
suppose we are given the following information: sample size (n) = 100 standard error of the slope of the regression line (SEb1) = 2 y=100 + 4x (multiple choice question) what is the P - value for a test of the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero? a.) < 0.01 b.) < 0.05 c.) < 0.02 d.) none of the above
Here is the "theoretical" regression equation: yi = β0 + β1xi + εi 1. Select the...
Here is the "theoretical" regression equation: yi = β0 + β1xi + εi 1. Select the appropriate name for each component of the equation. yi:  ---Select--- The linear correlation coefficient The population intercept The estimated intercept The population slope The estimated slope The LOBF The "random error" term The predictor variable The response variable The confounding variable The sampling bias β0:  ---Select--- The linear correlation coefficient The population intercept The estimated intercept The population slope The estimated slope The LOBF The "random...
Suppose a random sample of size 22 is taken from a normally distributed population, and the...
Suppose a random sample of size 22 is taken from a normally distributed population, and the sample mean and variance are calculated to be x¯=5.29  and s2=0.5 respectively. Use this information to test the null hypothesis H0:μ=5  versus the alternative hypothesis HA:μ>5 . a) What is the value of the test statistic, for testing the null hypothesis that the population mean is equal to 5? Round your response to at least 3 decimal places. b) The p-value falls within which one of...
A least squares regression line to predict a student’s Stat145 test score (from 0-to-100) from the...
A least squares regression line to predict a student’s Stat145 test score (from 0-to-100) from the number of hours studied was determined from a class of 55 Stat145 students: ̂ = 46.2 + 2.71x. One student in the class studied for 16 hours and scored 87 on the exam. (a) (5 pts.) What is the predicted value of this student’s Stat145 exam score? (b) (5 pts.) What is the residual for this student? (c) (5 pts.) Explain what the slope...
Suppose we have a random sample of size 50 from a N(μ,σ2) PDF. We wish to...
Suppose we have a random sample of size 50 from a N(μ,σ2) PDF. We wish to test H0: μ=10 versus H1: μ=10. The sample moments are x ̄ = 13.4508 and s2 = 65.8016. (a) Find the critical region C and test the null hypothesis at the 5% level. What is your decision? (b) What is the p-value for your decision? (c) What is a 95% confidence interval for μ?
Suppose we have a random sample of size 50 from a N(μ,σ2) PDF. We wish to...
Suppose we have a random sample of size 50 from a N(μ,σ2) PDF. We wish to test H0: μ=10 versus H1: μ=10. The sample moments are x ̄ = 13.4508 and s2 = 65.8016. (a) Test the null hypothesis that σ2 = 64 versus a two-sided alternative. First, find the critical region and then give your decision. (b) (5 points) Find a 95% confidence interval for σ2? (c) (5 points) If you are worried about performing 2 statistical tests on...
(S 10.3) Suppose a random sample of size 15 is taken from a normally distributed population,...
(S 10.3) Suppose a random sample of size 15 is taken from a normally distributed population, and the sample mean and variance are calculated to be x¯=5.22 and s2=6.5respectively. Use this information to test the null hypothesis H0:?=5versus the alternative hypothesis HA:?<5, at the 10% level of significance. What is the value of the test statistic, for testing the null hypothesis that the population mean is equal to 5?____________ Round your response to at least 3 decimal places.
Please answer the question briefly and clearly. 1. The best model to describe a linear relationship...
Please answer the question briefly and clearly. 1. The best model to describe a linear relationship between two variables is the _______. 2. An assumption of linear regression states that for each value of X, there is a group of Y values that are statistically (Independent) and (normally distributed) about the regression line. 3. If the slope of a regression line is zero, the orientation of the regression line is (Flat, or Constant), which indicates a lack of a relationship....
QUESTION 21 A linear model is found to be y = 3.5x + 6. At a...
QUESTION 21 A linear model is found to be y = 3.5x + 6. At a value of x = 4, the equation yields y = 20. However, the actual data value for x =4 is found to be y = 22.3. The residual at x = 20 is a. 3.5 b. 6 c. 20 d. 22.3 e. 2.3 QUESTION 22 A regression equation is found to be y=2x+10. The prediction for the dependent variable when the independent variable is...
For the following data sample, calculate the sum of squared residuals and standard error of the...
For the following data sample, calculate the sum of squared residuals and standard error of the slope coefficient from a regression of AAPL on SPY. date SPY AAPL 1/1/18 2.46% 3.41% 1/8/18 1.65% 1.19% 1/15/18 0.90% 0.77% 1/22/18 2.20% -3.89% 1/29/18 -3.88% -6.42% SSR ___ se(slope) ___ Calculate the R2 Test the null hypothesis that the beta is equal to 1 with a 5% significance level. What is the approximate p-value for the test in d)?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT