Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

please help me with these questiones:: Below are the values for two variables x and y obtained from a sample of size 25.We want to

please help me with these questiones::

Below are the values for two variables x and y obtained from a sample of size 25.We want to build a regression equation based the sample data.

y = b + bx

yx

40.68.9

225.2

30.28.4

234.2

20.44.9

29.37.8

24.38.1

286.1

49.112.3

28.67.6

26.57.2

41.49.5

33.713.3

38.48.7

25.28.4

37.310

18.64.7

43.68.9

35.79.4

50.712.1

39.47.2

47.69.2

38.57.7

30.810.3

34.87.5

27.57.1

22.76.2

32.47.7

37.39.1

29.48

40.18.3

38.410.4

18.64.8

48.49.2

37.69.5

1The sum product of x and y is,

a9307.57

b9695.39

c10099.36

d10520.17

2The value in the numerator of the formula to compute the slope of the regression equation is,

a455.474

b474.452

c494.221

d514.813

3The sum of squared x is,

a2835.23

b2726.18

c2621.33

d2520.51

4The slope coefficient b is,

a2.9384

b3.1147

c3.3016

d3.4997

5The intercept coefficient is,

a9.8394

b9.1106

c8.4357

d7.8108

6The predicted value of y for x = 9.4 in the data set is,

a45.44

b42.46

c39.69

d37.09

7The observed y in the data set associated with x = 9.4 is 35.7.The prediction error is,

a-1.26

b-1.39

c-1.53

d-1.68

8Sum of prediction errors is,

a0.00

b-0.05

c0.50

d0.72

9Sum of squared errors (SSE) is,

a1399.03

b1307.50

c1221.96

d1142.02

10The variance of the prediction error is,

a42.3947

b39.6212

c37.0292

d34.6067

11On average the observed y deviate from the predicted y by,

a6.085

b5.157

c4.370

d3.704

12Sum of squares total (SST) is,

a3125.281

b2976.458

c2834.722

d2699.735

13Sum of squares regression (SSR) is,

a1629.244

b1551.661

c1477.772

d1407.402

14The fraction of variations in y explained by x is:

a0.5474

b0.5950

c0.6467

d0.7029

15The x and y data are sample data from the population of X and Y to compute b as an estimate of the population slope parameter .The sample statistic b is the estimator of the population parameter .The estimated measure of dispersion of the sample statistic b is,

a0.7499

b0.6520

c0.5670

d0.4930

16The margin of error for a 95% confidence interval for is,

a1.0031

b0.9119

c0.8290

d0.7536

17To perform a hypothesis test with the null hypothesis H: = 0, we need a test statistic.The test statistic for this hypothesis test is,

a5.5592

b6.3173

c7.1788

d8.1577

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Analyzing Superfund Economics, Science And Law

Authors: Richard L Revesz, Richard B Stewart

1st Edition

1317354796, 9781317354796

More Books

Students also viewed these Economics questions

Question

Describe how self-defeating attitudes create a vicious cycle.

Answered: 1 week ago

Question

1. To take in the necessary information,

Answered: 1 week ago