Question

1. Suppose (X, Y) take on values {(1,10),( 3,11),( 8,9),( 4,15),( 7,20)}. Construct a simple linear...

1. Suppose (X, Y) take on values {(1,10),( 3,11),( 8,9),( 4,15),( 7,20)}. Construct a simple linear regression model treating Y as the dependent variable, the LSE of the intercept

2.Suppose you construct a simple linear regression model. Using 5 observations the LSE of the slope is calculated as -0.3 with associated standard error .86. Now you wish to test  versus  at the 0.05 significance level. The test statistic is

Homework Answers

Answer #1

From the given information,

By using calculator,

The required correct answers are,

1. Suppose (X, Y) take on values {(1,10),( 3,11),( 8,9),( 4,15),( 7,20)}. Construct a simple linear regression model treating Y as the dependent variable, the LSE of the intercept is 10.7831

2.Suppose you construct a simple linear regression model. Using 5 observations the LSE of the slope is calculated as -0.3 with associated standard error .86. Now you wish to test  versus  at the 0.05 significance level. The test statistic is -0.3488

Thank you.

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
Following is a simple linear regression model: The following results were obtained from some statistical software....
Following is a simple linear regression model: The following results were obtained from some statistical software. R2 = 0.523 syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Parameter Estimate    Std. Error of Parameter Est. Intercept 0.519    0.132 Slope of X    -0.707 0.239 Questions: the correlation coefficient r between the x and y is? What is the meaning of R2? Show your work.
13. Interpreting the intercept in a simple linear regression model is: * (A) reasonable if the...
13. Interpreting the intercept in a simple linear regression model is: * (A) reasonable if the sample contains values of x around the origin. (B) not reasonable because researchers are interested in the effect of a change in x on the change in y. (C) reasonable if the intercept’s p-value is less than 0.05. (D) not reasonable because it is always meaningless. 14. Which of the following is NOT one of the assumptions necessary for simple linear regressions?: * (A)...
In the simple linear regression model estimate Y = b0 + b1X A. Y - estimated...
In the simple linear regression model estimate Y = b0 + b1X A. Y - estimated average predicted value, X – predictor, Y-intercept (b1), slope (b0) B. Y - estimated average predicted value, X – predictor, Y-intercept (b0), slope (b1) C. X - estimated average predicted value, Y – predictor, Y-intercept (b1), slope (b0) D. X - estimated average predicted value, Y – predictor, Y-intercept (b0), slope (b1) The slope (b1) represents A. the estimated average change in Y per...
Question 4. Construct a diagram of a scatterplot with a best-fitting regression line (i.e. one that...
Question 4. Construct a diagram of a scatterplot with a best-fitting regression line (i.e. one that is fitted by eye). Label your axes and indicate which axis is the dependent variable and which axis is the independent variable. In your diagram indicate a residual. Write out a simple linear regression model and describe what each part of the model is (for example what is ??) use the simplear regression formula as  ?i = ? + ??i + ?i •?i is the...
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 sample of 200 monthly observations is used to run a simple linear regression: Returns =...
A sample of 200 monthly observations is used to run a simple linear regression: Returns = β0 + β1 Leverage + ε. A 5% level of significance is used to study if leverage has a significant influence on returns. The value of the test statistic for the regression coefficient of Leverage is calculated as t198 = –1.09, with an associated p-value of 0.2770. The correct decision is to ________.
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...
A simple linear regression model relating a bank lending interest rate and investment in physical capital...
A simple linear regression model relating a bank lending interest rate and investment in physical capital by companies is stated as: Which variable (lending interest rate or investment in physical capital) do you think should be the dependent variable in this regression model? Please justify your answer.                                                        [2 points] What sign would you expect for the slope of this regression model for interest rate and investment in physical capita? Please justify your answer.                 [2 points]         What is the role...
8.) Now, do a simple linear regression model for LifeExpect2017 vs. AverageDailyPM2.5. For credit, provide the...
8.) Now, do a simple linear regression model for LifeExpect2017 vs. AverageDailyPM2.5. For credit, provide the summary output for this simple linear regression model. > Model2 <- lm(LifeExpect2017~ AverageDailyPM2.5) > summary(Model2) Call: lm(formula = LifeExpect2017 ~ AverageDailyPM2.5) Residuals: Min 1Q Median 3Q Max -17.1094 -1.7516 0.0592 1.7208 18.4604 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 81.6278 0.2479 329.23 <2e-16 *** AverageDailyPM2.5 -0.4615 0.0267 -17.29 <2e-16 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘...
You wish to estimate as precisely as possible the slope β1 in the simple linear regression...
You wish to estimate as precisely as possible the slope β1 in the simple linear regression model yi = β0 + β1xi + ei , i = 1, . . . , 4. Each pair of observations (xi , yi) costs $1.00 and your budget is $4.00. A data analyst proposes that you consider one of the following two options: (a) Make two y-observations at x = 1 and a further two at x = 4; (b) Make one y-observation...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT