Problem # Detail Answer 1 When determining whether the independent variable significant influences, the null hypothesis for the simple linear regression model is: A a. Beta one equals zero b. Beta one equals one c. Beta one equals beta two equals zero d. Beta one equals beta two equals one 2 In an analysis of variance problem if Sum of squares total (SST = 120) and sum of squares due to treatments (SSTR) = 80, then Sum of Squares error (SSE) is b a. 200 b. 40 c. 80 d. 120 3 Identify the assumption that is not applicable for a one-way ANOVA test. d a. The populations are normally distributed b. The population standard deviations are not all equal c. The samples are selected independently d. The sample is drawn at random from each population Exhibit 1 Use the data in cells B22 to C26 to answer multiple choice questions 4, 5, and 6. Data for the dependent variable of y is in cells B22 to B 26. Data for the independent variable of x is in cells C22 to C26. y x 5 15 7 12 9 10 11 7 4 Refer to Exhibit 1. The estimate of beta one equals a a. -0.7647 b. -0.13 c. 21.4 d. 16.412 5 Refer to Exhibit 1. The estimate of beta zero equals d a. -7.647 b. -1.3 c. 21.4 d. 16.41176 6 Refer to Exhibit 1. The sample correlation coefficient equals a. -86.667 b. -0.99705 c. 0.9941 d. 0.99705 Exhibit 2 Use the multiple regression table in cells B46 through G55 answer multiple choice questions 7 and 8. ANOVA df ss ms F significance F Regression 3 453 151 5.03 0.003 Residual 85 2521 30 Total 88 2974 Coefficients Standard Error T stat p-value Intercept 14.96 3.08 4.86 0 x1 0.87 0.29 3 0.0035 x2 0.46 0.22 2.09 0.04 x3 0.04 0.24 0.12 0.9066 7 Use exhibit 2 to determine if at the .01 level of significance, which independent variable(s) is (are) individually significant? a. Only x1 b. Only x3 c. X1 and X2 d. X2 and X3 8 How would you determine where or not the model in exhibit 2 has joint significance with alpha equal .05? a. compare the significance F p-value to alpha b. determine if one of the independent variables is significant by comparing their p-values to alpha c. can not be done, the value for r square is not provided d. Either a or b

Problem # Detail Answer 1 When determining whether the independent variable significant influences, the null hypothesis for the simple linear regression model is: A a. Beta one equals zero b. Beta one equals one c. Beta one equals beta two equals zero d. Beta one equals beta two equals one 2 In an analysis of variance problem if Sum of squares total (SST = 120) and sum of squares due to treatments (SSTR) = 80, then Sum of Squares error (SSE) is b a. 200 b. 40 c. 80 d. 120 3 Identify the assumption that is not applicable for a one-way ANOVA test. d a. The populations are normally distributed b. The population standard deviations are not all equal c. The samples are selected independently d. The sample is drawn at random from each population Exhibit 1 Use the data in cells B22 to C26 to answer multiple choice questions 4, 5, and 6. Data for the dependent variable of y is in cells B22 to B 26. Data for the independent variable of x is in cells C22 to C26. y x 5 15 7 12 9 10 11 7 4 Refer to Exhibit 1. The estimate of beta one equals a a. -0.7647 b. -0.13 c. 21.4 d. 16.412 5 Refer to Exhibit 1. The estimate of beta zero equals d a. -7.647 b. -1.3 c. 21.4 d. 16.41176 6 Refer to Exhibit 1. The sample correlation coefficient equals a. -86.667 b. -0.99705 c. 0.9941 d. 0.99705 Exhibit 2 Use the multiple regression table in cells B46 through G55 answer multiple choice questions 7 and 8. ANOVA df ss ms F significance F Regression 3 453 151 5.03 0.003 Residual 85 2521 30 Total 88 2974 Coefficients Standard Error T stat p-value Intercept 14.96 3.08 4.86 0 x1 0.87 0.29 3 0.0035 x2 0.46 0.22 2.09 0.04 x3 0.04 0.24 0.12 0.9066 7 Use exhibit 2 to determine if at the .01 level of significance, which independent variable(s) is (are) individually significant? a. Only x1 b. Only x3 c. X1 and X2 d. X2 and X3 8 How would you determine where or not the model in exhibit 2 has joint significance with alpha equal .05? a. compare the significance F p-value to alpha b. determine if one of the independent variables is significant by comparing their p-values to alpha c. can not be done, the value for r square is not provided d. Either a or b

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Problem #	Detail	Answer

1	When determining whether the independent variable significant influences, the null hypothesis for the simple linear regression model is:	A
	a. Beta one equals zero
	b. Beta one equals one
	c. Beta one equals beta two equals zero
	d. Beta one equals beta two equals one

2	In an analysis of variance problem if Sum of squares total (SST = 120) and sum of squares due to treatments (SSTR) = 80, then Sum of Squares error (SSE) is	b
	a. 200
	b. 40
	c. 80
	d. 120

3	Identify the assumption that is not applicable for a one-way ANOVA test.	d
	a. The populations are normally distributed
	b. The population standard deviations are not all equal
	c. The samples are selected independently
	d. The sample is drawn at random from each population

Exhibit 1	Use the data in cells B22 to C26 to answer multiple choice questions 4, 5, and 6. Data for the dependent variable of y is in cells B22 to B 26. Data for the independent variable of x is in cells C22 to C26.
	y	x
	5	15
	7	12
	9	10
	11	7
4	Refer to Exhibit 1. The estimate of beta one equals	a
	a. -0.7647
	b. -0.13
	c. 21.4
	d. 16.412

5	Refer to Exhibit 1. The estimate of beta zero equals	d
	a. -7.647
	b. -1.3
	c. 21.4
	d. 16.41176

6	Refer to Exhibit 1. The sample correlation coefficient equals
	a. -86.667
	b. -0.99705
	c. 0.9941
	d. 0.99705

Exhibit 2	Use the multiple regression table in cells B46 through G55 answer multiple choice questions 7 and 8.
	ANOVA	df	ss	ms	F	significance F
	Regression	3	453	151	5.03	0.003
	Residual	85	2521	30
	Total	88	2974

		Coefficients	Standard Error	T stat	p-value
	Intercept	14.96	3.08	4.86	0
	x1	0.87	0.29	3	0.0035
	x2	0.46	0.22	2.09	0.04
	x3	0.04	0.24	0.12	0.9066
7	Use exhibit 2 to determine if at the .01 level of significance, which independent variable(s) is (are) individually significant?
	a. Only x1
	b. Only x3
	c. X1 and X2
	d. X2 and X3

8	How would you determine where or not the model in exhibit 2 has joint significance with alpha equal .05?
	a. compare the significance F p-value to alpha
	b. determine if one of the independent variables is significant by comparing their p-values to alpha
	c. can not be done, the value for r square is not provided
	d. Either a or b

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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