Question

1. You are given the following data to fit a simple linear regression x 1 2...

1. You are given the following data to fit a simple linear regression x 1 2 3 4 5 y -2 4 2 -1 0 Using linear least squares, determine the t-value for testing the hypothesis that no linear relationship exist between y and x. (a) 0.01, (b) 0.03, (c) 0.09, (d) 0.11, (e) 0.13

Homework Answers

Answer #1

For the given data,

Let us find the fitted regression equation.

I have used excel to fit the regression line---

Steps are--- Enter data>>Data>>Data Analysis>>Regression>>Select Range>>OK

The output of the excel is ---

From the above output ---

t-value=0.11 ( I have highlighted it )

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Showing that residuals, , from the least squares fit of the simple linear regression model sum...
Showing that residuals, , from the least squares fit of the simple linear regression model sum to zero
The following data have been collected for a simple linear regression analysis relating sales (y) to...
The following data have been collected for a simple linear regression analysis relating sales (y) to price (x): x y Price     ($) Sales (units) 4 120 7 60 5 100 8 80 In applying the least squares criterion, the slope (b) and the intercept (a) for the best-fitting line are b = -12 and a = 162. You are to conduct a hypothesis test to determine whether you can reject the null hypothesis that the population slope, β, is 0...
What are the pitfalls of simple linear regression? True or False for each Lacking an awareness...
What are the pitfalls of simple linear regression? True or False for each Lacking an awareness of the assumptions of least squares regression. Not knowing how to evaluate the assumptions of least squares regressions. Not knowing the alternatives to least squares regression if a particular assumption is violated. Using a regression model without knowledge of the subject matter. Extrapolating outside the relevant range of the X and Y variables. Concluding that a significant relationship identified always reflects a cause-and-effect relationship.
Consider the following independent discrete random variables. x = number of tornadoes detected in any given...
Consider the following independent discrete random variables. x = number of tornadoes detected in any given month for state X x 0 1 2 3 4 5 p(x) 0.55 0.17 0.14 0.09 0.03 0.02 y = number of tornadoes detected in any given month for state Y y 0 1 2 3 4 5 p(y) 0.40 0.30 0.15 0.11 0.01 0.03 ?x = (0)(0.55) + (1)(0.17) + (2)(0.14) + (3)(0.09) + (4)(0.03) + (5)(0.02) = 0.94 ?y = (0)(0.40) +...
Suppose you are given the following (x, y) data pairs. x 1 2 6 y 4...
Suppose you are given the following (x, y) data pairs. x 1 2 6 y 4 3 9 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ =  +  x (b) Now suppose you are given these (x, y) data pairs. x 4 3 9 y 1 2 6 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ =  +  x (c) In the data for parts (a) and (b), did we...
(a) Suppose you are given the following (x, y) data pairs. x 1 2 5 y...
(a) Suppose you are given the following (x, y) data pairs. x 1 2 5 y 2 1 7 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ =  +  x (b) Now suppose you are given these (x, y) data pairs. x 2 1 7 y 1 2 5 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ =  +  x (c) In the data for parts (a) and (b), did...
Consider the simple linear regression model y=10+30x+e where the random error term is normally and independently...
Consider the simple linear regression model y=10+30x+e where the random error term is normally and independently distributed with mean zero and standard deviation 1. Do NOT use software. Generate a sample of eight observations, one each at the levels x= 10, 12, 14, 16, 18, 20, 22, and 24. Do NOT use software! (a) Fit the linear regression model by least squares and find the estimates of the slope and intercept. (b) Find the estimate of ?^2 . (c) Find...
A least-squares simple linear regression model was fit predicting duration (in minutes) of a dive from...
A least-squares simple linear regression model was fit predicting duration (in minutes) of a dive from depth of the dive (in meters) from a sample of 43 penguins' diving depths and times. Calculate the R-squared value for the regression by filling in the ANOVA table. SS df MS F-statistic Regression Residual 1182.955 Total 537814.901 0.91 0.0902 0.0022 4.92461123041641e-23
Denote Y for profit (in dollars) and X for price (in dollars). The linear regression model...
Denote Y for profit (in dollars) and X for price (in dollars). The linear regression model of Y on X is Yi= β0 + β1Xi + εi (i=1, 2, … n) for n pairs on Y and X. The hypothesis H0: β1=0 vs H1: β1≠0 at α=0.01. The fitted model through least squares techniques from a random sample of 81 is: = 0.75 - 1.15X. If H0 is accepted, the true statement (s) is/are for the regression model:        a....
Compute the least squares regression line for the data in Exercise 2 of Chapter 10, Section...
Compute the least squares regression line for the data in Exercise 2 of Chapter 10, Section 2 “The Linear Correlation Coefficient”. data: x 0 2 3 6 9 y 0 3 3 4 8
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT