In a regression problem, if the coefficient of determination is 0.90, this means that:

1.) In publishing the results of some research work, the following determination were listed. Which one would appear to be incorrect?values of the coefficient of

Answer: -0. 2.) Given the least squares regression line yˆ = -2 + 1, andthe coefficient of correlation is: a coefficient of determination of 0,

Answer: +0. 3.) If the sum of squares due to regression (SSR) is 60, which of the following must be true? Answer: The total sum of squares (SST) is at least 60. 4.) For the values of the coefficient of determination listed belowof SSR (regression sum of squares) given that SST = 500? , which one implies the greatest value

Answer: 0. 5.) In a regression problem the following pairs of (x, y) are giveindicates that the: n: (2,1), (2,-1), (2,0), (2,-2) and (2,2). That

Answer: coefficient of correlation is 0. 6.) Correlation analysis is used to determine the: Answer: strength of the relationship between x and y. 7.) All of the values of an independent variable equal the same non this independent variable will result in a coefficient of determination (r 2 ) of:umber. Regressing a dependent variable

Answer: 0. 8.) The value for SSE equals zero. This means that the coefficient of determination (r 2 ) must equal: Answer: 1. 9.) A regression analysis between sales (in $1000) and advertisingleast squares line: yˆ = 75 +6x. This implies that if advertising is $800, then the predicted amount of sales (in $100) resulted in the following (in dollars) is: Answer: $123, 10.) The following values are listed as coefficients of correlation (r)relationship between the two variables x and y is:. The one that indicates an inverse

Answer: -0. 11.) In regression analysis, if the independent variable is measured in pounds, the dependent variable Answer: can be any units 12.) regression analysis was applied between sales data (Y in $1,00and the following information was obtained. 0s) and advertising data (x in $100s)

Yˆ = 12 + 1 x n = 17 SSR = 225SSE = 75

Answer: 0. 17.) If the coefficient of correlation is 0, then the coefficient of determination Answer: must be 0. 18.) If the coefficient of correlation is a negative value, then the coefficient of determination Answer: must be positive 19.) If the coefficient of correlation is a positive value, then Answer: the slope of the line must be positive 20.) The coefficient of correlation Answer: is the square root of the coefficient of determination 21.) A researcher measures driving distance from college and weecommuting college students. What kind of correlation is likely to be obkly cost of gas for a group of tained for these two variables?

Answer: a positive correlation 22.) A researcher records the odometer reading and price for a groupcorrelation is likely to be obtained for these two variables? of used Hondas. What kind of

Answer: a negative correlation

23.) For the linear equation Y = 2X - 3, which of the following points will not be on the line? Answer: 3, 24.) An analysis of variance is used to test the significance of a simplon a sample of n = 20 individuals. What are the df values for the F-ratio?e linear regression equation based

Answer: 1, 18 25.) The results from a research study indicate that adolescents wtelevision also tend to engage in more violent behavior than their peho watch more violent content on ers. The correlation between amount of TV violent content and amount of violent behavior is an example of _______. Answer: a positive correlation 26.) Which of the following statements are true regarding thyi=β0+β1xi+εi? e simple linear regression model

Answer: *****All of the above are true statements. εi is a random error, or residual. Incorrect Response yi is a value of the dependent variable (y) and xi is a value of the independent variable (x).

β1is the slope of the regression line. β0is the y-intercept of the regression line.

33.) If all the points in a scatter diagram lie on the least squares recorrelation: gression line, then the coefficient of

Answer: must be either 1 or -1. 34.) In order to estimate with 95% confidence the expected value of yproblem, a random sample of 10 observations is taken. Which of the followi in a simple linear regression ng t-table values listed below would be used? Answer: 2. 35.) The residual is defined as the difference between the: Answer: actual value of y and the estimated value of y. 36.) In a regression analysis if SST = 500 and SSE = 300, then the coefficient of determination is Answer: 0. 37.) If the coefficient of correlation is a positive value, then the regression equation Answer: must have a positive slope 38.) The value of the coefficient of correlation (R) Answer: can be equal to the value of the coefficient of determination (R2) 39.) In a regression analysis if SST = 4500 and SSE = 1575, then the coefficient of determination is Answer: 0.

40.) If the coefficient of correlation is 0, the percentage of variexplained by the variation in the independent variable is ation in the dependent variable

Answer: 64% 41.) In simple linear regression analysis, which of the following is not true? Answer: The F test and the t test may or may not yield the same conclusion. 42.) In regression analysis, the independent variable is Answer: used to predict the dependent variable 43.) In a regression analysis, the variable that is being predicted Answer: is the dependent variable 44.) Regression analysis was applied between sales (in $1000) andfollowing regression function was obtained. advertising (in $100) and the

Yˆ = 500 + 4 X Based on the above estimated regression line if advertising is $10,00(in dollars) is 0, then the point estimate for sales

Answer: $900, 45.) The equation that describes how the dependent variable (y) is r(x) is called elated to the independent variable

52.) In a regression problem, if the coefficient of determination is 0, this means that: Answer: 90% of the variation in y can be explained by the regression line 53.) A regression analysis between sales (in $1000) and advertisingsquares line: yˆ = 80,000 + 5x. This implies that an: (in $) resulted in the following least

Answer: increase of $1 in advertising is expected to result in an increase of $5,000 in sales. 54.) If the standard error of estimate sy = 18 and n = 10, then the error sum of squares, SSE, is: Answer: 2592 55.) The regression line yˆ = 3 + 2x has been fitted to the data points (4,sum of squares will be: 8), (2,5), and (1,2). The residual

Answer: 22 56.) An indication of no linear relationship between two variables would be: Answer: a coefficient of correlation of 0 57.) A regression analysis between sales (in $1000) and price (inequation dollars) resulted in the following

Yˆ = 60 - 8X The above equation implies that an

Answer: increase of $1 in price is associated with a decrease of $8000 in sales 58.) In a regression analysis, the regression equation is given by Yˆ = 12then the coefficient of correlation is - 6x. If SSE = 510 and SST = 1000,

Answer: -0. 59.) In a regression analysis, the coefficient of determination is 0 situation is 225. The coefficient of correlation in

Answer: 0. 60.) Larger values of r2 imply that the observations are more closely grouped about the Answer: least squares line 61.) Regression analysis was applied between sales (Y in $1,000) andfollowing estimated regression equation was obtained. advertising (X in $100), and the

Yˆ = 80 + 6 X Based on the above estimated regression line, if advertising is $10,000(in dollars) is , then the point estimate for sales

Answer: $700, 62.) If the coefficient of determination is 0, the coefficient of correlation Answer: could be either + 0 or - 0.

Answer: r = 0. 70.) It is possible for the coefficient of determination to be Answer: less than one 71.) If the coefficient of determination is 0, the percentage ofexplained by the variation in the independent variable variation in the dependent variable

Answer: is 90% 72.) In a regression analysis, the coefficient of correlation is 0. Tsituation is he coefficient of determination in this

Answer: 0. 73.) Regression analysis was applied between sales (in $1000) andfollowing regression function was obtained. advertising (in $100) and the

Yˆ = 500 + 4 X Based on the above estimated regression line if advertising is $10,00(in dollars) is 0, then the point estimate for sales

Answer: $900, 74.) If the coefficient of correlation is -0, then the slope of the regression line Answer: must be negative

75.) An analysis of variance is used to test the significance of a simplon a sample of n = 20 individuals. What are the df values for the F-ratio?e linear regression equation based

Answer: 1, 18 76.) If two variables, x and y, have a strong linear relationship, then Answer: there may or may not be any causal relationship between x and y 77.) Regression analysis is a statistical procedure for developing a mahow thematical equation that describes

Answer: one dependent and one or more independent variables are related 78.) Regression analysis was applied between sales (in $10,000) anfollowing regression function was obtained. d advertising (in $100) and the

Yˆ = 50 + 8 X Based on the above estimated regression line if advertising is $1,000(in dollars) is , then the point estimate for sales

Answer: $1,300, 79.) The following information regarding a dependent variable provided. (Y) and an independent variable (X) is

Y X

Answer: decease by 20 units 83.) Regression analysis was applied between sales data (Y in $1,0and the following information was obtained. 00s) and advertising data (x in $100s)

Yˆ = 12 + 1 x n = 17 SSR = 225SSE = 75 Sb1 = 0. Based on the above estimated regression equation, if advertising is $sales (in dollars) is 3,000, then the point estimate for

Answer: 66, 84.) A regression analysis between sales (in $1000) and price (inequation dollars) resulted in the following

Yˆ = 60 - 8X The above equation implies that an Answer: increase of $1 in price is associated with a decrease of $8000 in sales 85.) In regression analysis, the variable that is being predicted is the Answer: dependent variable

86.) A regression analysis between demand (Y in 1000 units) andfollowing equation price (X in dollars) resulted in the

Yˆ = 9 - 3X The above equation implies that if the price is increased by $1, the demand is expected to Answer: decrease by 3,000 units

What does the coefficient of determination tell you?

Is the coefficient of determination is a positive value then the regression equation?

Which of the following is true when the coefficient of determination is equal to 1?

Which of the following statements about linear regression are true?