User Account

All Pages

Best fit line in scatter plot of regression analysis

Assignment Help Basic Statistics
Reference no: EM13924280

Part I:

1. How would you define "the best fit line" in scatter plot of regression analysis?

a. An imaginary line drawn in such a way that the total variance of distance for each data point from this line is minimized.
b. An imaginary line drawn in such a way that the total variance of distance for each data point from this line is maximized.
c. An imaginary line drawn in such a way that the total variance of distance for each data point from this line remains constant.
d. All of the above.

2. In order to run a linear regression, the following assumption(s) have to be met:

a. Data fits the straight line model
b. Both, the DV and IV(s) have to be continuous variables
c. Both "a" and "b"
d. None of the above

3. R Square is a measure of

a. Residual's in DV explained by the IV(s) in regression analysis
b. Regression's in DV explained by the IV(s) in regression analysis
c. Variance explained in DV by the IV(s) in regression analysis
d. All of the above

4. If the "F" value in ANOVA table of Linear Regression Analysis is significant (p < .05), what does it mean?

a. The data does not fit the straight line model
b. The data fits the curvilinear model
c. The data does not fit the curvilinear model
d. The data fits the straight line model
e. All of the above

5. If the "F" value in ANOVA table of Linear Regression Analysis is not significant (p > .05), what does it mean?

a. The data does not fit the straight line model
b. We cannot proceed with Regression Analysis
c. The data fits the straight line model
d. We can proceed with Regression Analysis
e. Both "a" and "b"

6. In the equation for a straight line y = a + bx, the intercept "a" is

a. the dependent variable
b. the variable used to predict the dependent variable
c. the change in y for any unit change in x
d. the distance from origin to the point where the straight line cuts the y axis, at x = 0

7. In the formula for a straight line y = a + bx, the slope "b" is defined as

a. the change in y for a unit change in x
b. where the line cuts the y axis when x = 0
c. the variable used to predict the dependent variable
d. the dependent variable

8. If the intercept (constant) is found to be 2 and the slope is found to be 5, for any independent variable X in a Bivariate Regression coefficient table results, and are found to be significant, then the equation will be given by (where Y is the dependent variable):

a. Y = 2 + 3X
b. Y = 2 + 5X
c. Y = 5 + 2X
d. Y = 3 + 2X

9. In a multiple regression, the relative importance of the independent variables in predicting/explaining the dependent variable is determined by examining the:

a. R2 values
b. F-values
c. unstandardized (B) values
d. p values

10. Multiple Regression analysis there is/are ________ independent variable(s) and _____ dependant variable(s).

a. One: more than one
b. More than one: one
c. Nonmetric-scaled: metric scaled
d. Multiple: multiple
e. One: multiple

Part II:

Regression (visitfre(DV), prices(IV)
Variables Entered/Removeda
Model Variables Entered Variables Removed Method

1 pricesb . Enter

a. Dependent Variable: visitfre
b. All requested variables entered.
Model Summary
Model R R Square Adjusted R Square Std. Error of the Estimate
1 .160a .026 .017 1.088
a. Predictors: (Constant), prices

ANOVAa
Model Sum of Squares df Mean Square F Sig.
1 Regression 3.668 1 3.668 3.099 .081b
Residual 139.657 118 1.184
Total 143.325 119
a. Dependent Variable: visitfre
b. Predictors: (Constant), prices
Coefficientsa
Model Unstandardized Coefficients Standardized Coefficients t Sig.
B Std. Error Beta
1 (Constant) 2.773 .383 7.237 .000
prices .176 .100 .160 1.761 .081
a. Dependent Variable: visitfre

11. In the SPSS Tables Set-1 for the Regression Analysis, what is the dependent variable and what is/are the independent variable(s) respectively:

a. visitfre and prices
b. price and visitfre
c. visitfre and location
d. location and prices

12. In the SPSS Tables Set-1 for the Regression Analysis, what % of variance in visitfre is explained by prices. (Hint- Look for R-Square value as a % of 1)

a. 16.0%
b. 2.6%
c. 8.1%
d. 10.0 %
13. In the SPSS Tables Set-1 for the Regression Analysis, does the data fits the straight line model (Hint- look at the significance of "F" value in ANOVA table).

a. Yes, we can proceed with regression analysis
b. No, we cannot proceed with regression analysis

Part III:

Regression (visitfre(DV), entertai(IV)
Variables Entered/Removeda
Model Variables Entered Variables Removed Method
1 entertaib . Enter
a. Dependent Variable: visitfre
b. All requested variables entered.

Model Summary
Model R R Square Adjusted R Square Std. Error of the Estimate
1 .427a .182 .175 .997
a. Predictors: (Constant), entertai

ANOVAa
Model Sum of Squares df Mean Square F Sig.
1 Regression 26.145 1 26.145 26.328 .000b
Residual 117.180 118 .993
Total 143.325 119
a. Dependent Variable: visitfre
b. Predictors: (Constant), entertai

Coefficientsa
Model Unstandardized Coefficients Standardized Coefficients t Sig.
B Std. Error Beta
1 (Constant) 1.772 .335 5.294 .000
entertai .451 .088 .427 5.131 .000
a. Dependent Variable: visitfre

14. In the SPSS Tables Set-2 for the Regression Analysis, what is the dependent variable and what is/are the independent variable(s) respectively:

a. visitfre and prices
b. price and visitfre
c. visitfre and entertai
d. location and prices

15. In the SPSS Tables Set-2 for the Regression Analysis, what % of variance in visitfre is explained by entertai. (Hint- Look for R-Square value as a % of 1)

a. 16.0%
b. 2.6%
c. 18.2%
d. 10.0 %

16. In the SPSS Tables Set-2 for the Regression Analysis, does the data fits the straight line model (Hint- look at the significance of "F" value in ANOVA table).

a. Yes, we can proceed with regression analysis
b. No, we cannot proceed with regression analysis

Part IV:

Variables Entered/Removeda
Model Variables Entered Variables Removed Method
1 beconvie, entertai, feelsafeb . Enter
a. Dependent Variable: visitfre
b. All requested variables entered.
Model Summary
Model R R Square Adjusted R Square Std. Error of the Estimate
1 .591a .350 .333 .896
a. Predictors: (Constant), beconvie, entertai, feelsafe
ANOVAa
Model Sum of Squares df Mean Square F Sig.
1 Regression 50.114 3 16.705 20.788 .000b
Residual 93.211 116 .804
Total 143.325 119
a. Dependent Variable: visitfre
b. Predictors: (Constant), beconvie, entertai, feelsafe

Coefficientsa
Model Unstandardized Coefficients Standardized Coefficients t Sig.
B Std. Error Beta
1 (Constant) .318 .416 .763 .447
entertai .345 .081 .327 4.237 .000
feelsafe .191 .093 .170 2.043 .043
beconvie .287 .075 .320 3.830 .000
a. Dependent Variable: visitfre

17. In the SPSS Tables Set-3 for the Regression Analysis, what is the dependent variable and what is/are the independent variable(s) respectively:

a. visitfre and prices, location, foodtype
b. price and visitfre, entertain, beconvie
c. visitfre and entertain, feelsafe, beconvie
d. location and prices, entertain, feelsafe

18. In the SPSS Tables Set-3 for the Regression Analysis, what % of variance in DV (visitfre) is explained by the IV(s). (Hint- Look for R-Square value as a % of 1)

a. 59.1%
b. 2.6%
c. 18.2%
d. 35.0 %

19. In the SPSS Tables Set-3 for the Regression Analysis, does the data fits the straight line model (Hint- look at the significance of "F" value in ANOVA table).

a. Yes, we can proceed with regression analysis
b. No, we cannot proceed with regression analysis

20. In the SPSS Tables Set-3 for the Regression Analysis, when running a linear regression to find out the impact of "entertain", "feelsafe", and "beconvie" (ALL TAKEN TOGETHER) on "visitfre" , what is the regression equation in form of y = c + m1x1 + m2x2 + m3x3 (where y-visitfre, c-constant, x1-entertai, m1-slope of entertai, x2-feelsafe, m2-slope of feelsafe, x3-beconvie, and m3- slope of beconvie) depicting this relationship. (Hint- Look at respective values of unstandardized coefficients in the coefficients table)

a. y = 1.792 + 0.414x1 + 0.411x2 + 0.411x3
b. y = 0.318 + 0.345x1 + 0.191x2 + 0.287x3
c. y = 0.381 + 0.099x1 + 0.079x2 + 0.411x3
d. y = 0.127 + 0.162x1 + 0.210x2 + 0.507x3

21. The coefficient of correlation ranges from -1 to +1, what is the range of "unstandardized B weight" or the slope for any independent variable in regression analysis?

a. -1 to +1
b. -10 to +10
c. -∞ to +∞
d. -100 to +100

22. Assuming any two variables' have a perfect positive CORRELATION of +1 and the SLOPE of the best fit line in Bivariate Regression for some other set of a DV and an IV is found to be +1. What happens to the value of correlation and slope if, by including some more data, the angle of inclination of the lines in correlation and regression increases from the prior 45 degrees.

a. Correlation Decreases / Slope Increases
b. Correlation Increases / Slope Increases
c. Correlation Decreases / Slope Decreases
d. Correlation Increases / Slope Decreases

Reference no: EM13924280

Questions Cloud

Fundamentals of occupational health : Fundamentals of occupational health- Choose a journal article that addresses some aspect of lockout/tagout. The article itself must be more than one page in length. The EBSCO Database (Business Source Complete) is a good source of journals for saf..
Impact of zigbee on telecommunication systems : Topic is impact of zigbee on telecommunication systems. In this report you need to either do some measurement or do matlab code or simulation.
Difference between a company assets and liabilities : 1. The rule that requires financial statements to reflect the assumption that the business will continue operating instead of being closed or sold, unless evidence shows that it will not continue, is the: 3. The difference between a company's asset..
What are the major threats in the external environment : What would a SWOT analysis of your university look like? What are your school's key strengths and weaknesses? What are the major threats in the external environment? What are the opportunities? Make a list of all you can think of.
Best fit line in scatter plot of regression analysis : How would you define "the best fit line" in scatter plot of regression analysis?
Compare and contrast the differences among the states : How this is affecting the courts, and what courts are discussing to try to deal with this situation. Why was a certain time period chosen? Is it effective? How are the courts dealing with this? Are there any problems with the statutes? Provide as..
Does the marie architecture owe more to aiken : Two pioneers of early computers and computer organization were Howard H. Aiken and John von Neumann - Is Aiken or is von Neumann associated with the so-called Princeton architecture?
Measurable or observable characteristics : This preparation process involves looking at the characteristics of the receivers of the sender's message.
What were the environmental and human health consequences : Provide a brief history of RCRA and what aspects of waste it regulates. What was the cause of the incident? What types of waste were involved? What were the environmental and human health consequences

Reviews

Write a Review

Basic Statistics Questions & Answers

  Calculation of confidence interval

A car manufacturer has redesigned the anti-theft device on one of its models to increase the time that it takes for a professional car thief to be able to steal the car.

  Construct an appropriate chart

Construct an appropriate chart/graph that displays the relevant information for these two variables -  Write the null and alternative hypotheses used to test the question above (e.g., whether participation in the course affects writing scores).

  The following table gives classifications on gender and

the following table gives classifications on gender and salary of 1000 employees at a company. use this

  What is the confidence interval for the population mean

The sample standard deviation was 1.1 years. Using the 0.99 degree of confidence, what is the confidence interval for the population mean?

  A correlation is computed for a sample of n 18 pairs of x

a correlation is computed for a sample of n 18 pairs of x and y values. what correlations are statistically

  Statistics-normal distribution-word problem

An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with a mean of 580 and a standard deviation of 120.

  Te professor gathers information from a random sample of

a professor is interested in whether there is a difference in counseling students statistics competency scores among

  Assignment on conditional probability

Problem 1: What is the probability of drawing a heart, given that you drew a queen? Problem 2: What is the probability of rolling an even that you roll a two?

  In a survey 42 of the repsondents stated they talk to their

in a survey 42 of the repsondents stated they talk to their pets on the answering machine or telephone. a vet believed

  Let xsub1 and xsub2 constitute a random sample from a

let xsub1 and xsub2 constitute a random sample from a normal population with variance 1. if the null hypothesismumusub0

  Evaluate the p-value

The null hypothesis is that the distribution of mother's educational level is the same for both treatment groups. The value of the chi-square statistic is 7.422. Evaluate the P-value

  Explain that two polls can give widely differing results

Explain to someone who knows no statistics why the two polls can give such widely differing results and which poll is likely to more reliable.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd