Question

Let Y be the fuel consumption needed for heating in a building (in decalitres) and X...

Let Y be the fuel consumption needed for heating in a building (in decalitres) and X be the average outside daily temperature. Assuming that the sample data led to the following results:

n=10
Yi = 159

Y^2 = 2781

Xi = −28

X^2 = 296

yˆ = 12.943−1.056x

e^2 = 10.216

1) Find the sample mean and test the null hypothesis that the average fuel consumption is the same as last year's, which was 18 decaliters (1-alpha=0.95)

2) Comment on the regression parameters and find the value of R^2

Homework Answers

Answer #1

I think , In given problem sign of summation is missed. I have solved it by considering sign of summation to Xi , Yi ,Yi^2 ,ei^2, Xi^2. Please , check that.

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
Below shows a sample of 5 pairs of data: x y 5 3 1 4 3...
Below shows a sample of 5 pairs of data: x y 5 3 1 4 3 5 8 6 3 1 The following are some summaries of the data: ∑ni=1xi=20,∑ni=1yi=19,∑ni=1(xi−x¯)=0,∑ni=1(yi−y¯)=0,∑i=1nxi=20,∑i=1nyi=19,∑i=1n(xi−x¯)=0,∑i=1n(yi−y¯)=0, ∑ni=1(xi−x¯)2=28,∑ni=1(yi−y¯)2=14.8,∑ni=1(xi−x¯)(yi−y¯)=9.∑i=1n(xi−x¯)2=28,∑i=1n(yi−y¯)2=14.8,∑i=1n(xi−x¯)(yi−y¯)=9. Calculate the regression line. Provide an interpretation of the intercept and slope coefficient. Round your answer to 4 decimal points.
Data for two variables, x and y, follow. xi 22 24 25 28 41 yi 12...
Data for two variables, x and y, follow. xi 22 24 25 28 41 yi 12 23 31 36 69 a. Develop the estimated regression equation for these data (to 2 decimals). Enter negative value as negative number. y=-43.71+2.78x b. Compute the standardized residuals for these data (to 2 decimals). Enter negative value as negative number. xi yi Standardized Residual 22 12 24 23 -0.02 25 31 1.31 28 36 41 69 c. Compute the leverage values for these data...
The Municipality of a city wants to estimate the daily expenditure of the fuel consumption for...
The Municipality of a city wants to estimate the daily expenditure of the fuel consumption for city’s garbage removal. The city contains a business part and a residential part. City officers believe that, the amount of the fuel Y (in thousands of liters) depends on the weight of the garbage (in Tons) in the two parts of city x1 and x2. A random sample is collected for six days and the data was as follows:                     y           x1             x2 1.4...
The data below shows age (x, in years) and weekly entertainment expenses (y, in dollars) for...
The data below shows age (x, in years) and weekly entertainment expenses (y, in dollars) for a random sample of ten adults. The least squares regression model for this data is yˆ=344.07 − 4.21x.y^=344.07 − 4.21x. Select all valid statements regarding the use of this regression model. You must make a selection for each option. Click once to place a check mark for correct answers and click twice to place an "x" for the wrong answers. It is appropriate to...
Q.4.12. Typographical errors. Shown below are the number of galleys for a manuscript (X) and the...
Q.4.12. Typographical errors. Shown below are the number of galleys for a manuscript (X) and the total dollar cost of correcting typographical errors (Y) i a random sample of recent orders handled by a firm specializing in technical manuscripts. Since Y involves variable costs only, an analyst wished to determine whether regression-through-the-origin model (4.10) is appropriate for studying the relation between the two variables. i: 1 2 3 4 5 6 7 8 9 10 11 12 Xi: 7 12...
Assume that individual daily wages of taxi drivers are described as a random variable (X) that...
Assume that individual daily wages of taxi drivers are described as a random variable (X) that is normally distributed with parameters (µ = 85, σ = 20). A sample of n = 4 drivers was selected at random and Y = X¯ represents the sample mean, Y = X¯ = 1/4 · [X1 + X2 + X3 + X4] 1. Find the chance that sample average (Y ) would be at least 70 and not exceeding 90 2. Evaluate probability...
2. We have consumption (Y) of ten people and their savings(X) data is given below. Please...
2. We have consumption (Y) of ten people and their savings(X) data is given below. Please estimate the regression model (?? ̂ = ? − ??? ) for the variables by using normal equations and showing all calculation steps clearly in the Ms World file. (25p). Also interpret the coefficients (10p) You have to use the same steps which we used in the lecture. You can find the steps from lecture slides or recorded video. Also, you have to take...
1. Suppose that you have a sample of 500 observations on two random variables: price denoted...
1. Suppose that you have a sample of 500 observations on two random variables: price denoted as X, and profit, denoted as Y. So you observe {xi, yi} for i=1,...500. Write down the formula for sample mean and sample variance of X and Y as well as the sample covariance between X and Y. 2. Let Y denote the average starting salary for 2014 U.S. college graduates, measured in dollars. Suppose that the average annual salary is $56,000 dollars, with...
Use the following information regarding a variable (Y) and a variable (X) to answer the next...
Use the following information regarding a variable (Y) and a variable (X) to answer the next 7 questions. n = 8            ∑ x = 56 ∑ y = 296 ∑ x 2 = 428 ∑ y 2 = 11,920 ∑ xy = 2,257 The sample covariance equals 26.43 -9.17 9.17 12.12 3 points    QUESTION 23 Refer to above data. The sample correlation coefficient equals: a. -0.94 b. 1.67 c. .991 d. .85 3 points    QUESTION 24 Given the...
An economist is studying the job market in Denver area neighborhoods. Let x represent the total...
An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). x 18 30 51 28 50 25 y 2 2 6 5 9 3 Complete parts (a) through (e), given Σx = 202, Σy = 27, Σx2 = 7734,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT