Homework Answers
Answer:
d. It is negative when there is an inverse relationship between X and Y.
Explanation:
The above statement is not true, because the value of the R^2 is always positive. We know that the square of any value (either negative or positive) is always positive. All remaining statements are true statements. As we know R-square is the square of correlation coefficient and it is also calculated by using sum of squares. Also, it explains the variation in the dependent variable Y due to independent variable X.
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1. Which is not true of R², the coefficient of determination ? a It is the...
For INTERCEPT() and SLOPE() functions, do we place x values or y values first in the...
For INTERCEPT() and SLOPE() functions, do we place x values or y values first in the parentheses? For CORREL() function, do we place x values or y values first in the parentheses? What is the difference in meaning between y and y_hat? What does the regression model minimize? SSE or SSR or SST? Variation in Y = Time explained by X = Miles is SST, SSR or SSE? Variation in Y = Time not explained by X = Miles is SST,...
Use the value of the linear correlation coefficient r to find the coefficient of determination and...
Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r=0.694 What is the value of the coefficient of determination? r2=______ (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation=______% (Round to two decimal places as...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi 58 51 48 14 15 The estimated regression equation for these data is y= 76.77 - 3.41x a. Compute SSE, SST, and SSR (to 2 SSE decimals) (to 2 SST decimals) (to 2 SSR decimals) b. Compute the coefficient of determination r. Comment on the goodness of fit (to 3 decimals) % of the variability in y has been explained by the estimated regression...
Compute and Interpret the Coefficient of Determination Question A scientific study on calorie intake gives the...
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1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of...
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of the dependent variable b. The total variation of the independent variable c. The variation of the dependent variable that is explained by the regression line d. The variation of the dependent variable that is unexplained by the regression line Question 2 In regression analysis, the Sum of Squares Regression (SSR) is A. The total variation of the dependent variable B. The total variation of the independent variable...
Use the value of the linear correlation coefficient r to find the coefficient of determination and...
Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r 0.301 What is the value of the coefficient of determination? -(Round to four decimal places as needed.)
please help with the attachment X 12 6/2014 55 35 45 10 15 The estimated regression...
please help with the attachment
X 12 6/2014 55 35 45 10 15 The estimated regression equation for these data is 9 - 62.25 -2.75x (a) Compute SSE, SST, and SSR using equations SSE 1-9), SST - DIY, -77%, and SSR-319,-7). SSE - SST - SSR- (b) Compute the coefficient of determination (Round your answer to three decimal places.) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)...
If SSR = 4 and SSE = 16, determine SST, then compute the coefficient of determination,...
If SSR = 4 and SSE = 16, determine SST, then compute the coefficient of determination, 7, and interpret its meaning. SSTEN 2 = (Type an integer or a decimal. Do not round.) Interpret the meaning of 7. Choose the correct answer below. O A. It means that 1 - r of the variation in the dependent variable cannot be explained by the variation in the independent variable. O B. It means that r of the variation in the independent...
Use the value of the linear correlation coefficient to find the coefficient of determination and the...
Use the value of the linear correlation coefficient to find the coefficient of determination and the percentage of the total variation that can be explained by the near relationship between the two variables r=0.316 What is the value of the coefficient of determination? 7- (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation - (Round to two decimal places as...
please help me with b x 3 12 6 20 14 Y55 35 45 10 15...
please help me with b
x 3 12 6 20 14 Y55 35 45 10 15 The estimated regression equation for these data is - 62.25 -2.75x. (a) Compute SSE, SST, and SSR using equations SSE - ELY,-9.), SST = Ely-7), and SSR-369,-7) SSE - 18.75 SST = 1490 SSR - 0361.25 Compute the coefficient of determination (Round your answer to three decimal places.) 2-10.919 Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi 58 51 48 14 15 The estimated regression equation for these data is y= 76.77 - 3.41x a. Compute SSE, SST, and SSR (to 2 SSE decimals) (to 2 SST decimals) (to 2 SSR decimals) b. Compute the coefficient of determination r. Comment on the goodness of fit (to 3 decimals) % of the variability in y has been explained by the estimated regression...
Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r 0.301 What is the value of the coefficient of determination? -(Round to four decimal places as needed.)
please help with the attachment
X 12 6/2014 55 35 45 10 15 The estimated regression equation for these data is 9 - 62.25 -2.75x (a) Compute SSE, SST, and SSR using equations SSE 1-9), SST - DIY, -77%, and SSR-319,-7). SSE - SST - SSR- (b) Compute the coefficient of determination (Round your answer to three decimal places.) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)...
If SSR = 4 and SSE = 16, determine SST, then compute the coefficient of determination, 7, and interpret its meaning. SSTEN 2 = (Type an integer or a decimal. Do not round.) Interpret the meaning of 7. Choose the correct answer below. O A. It means that 1 - r of the variation in the dependent variable cannot be explained by the variation in the independent variable. O B. It means that r of the variation in the independent...
Use the value of the linear correlation coefficient to find the coefficient of determination and the percentage of the total variation that can be explained by the near relationship between the two variables r=0.316 What is the value of the coefficient of determination? 7- (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation - (Round to two decimal places as...
please help me with b
x 3 12 6 20 14 Y55 35 45 10 15 The estimated regression equation for these data is - 62.25 -2.75x. (a) Compute SSE, SST, and SSR using equations SSE - ELY,-9.), SST = Ely-7), and SSR-369,-7) SSE - 18.75 SST = 1490 SSR - 0361.25 Compute the coefficient of determination (Round your answer to three decimal places.) 2-10.919 Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large...
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