A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). Σx = 90 Σ(y - )(x - ) = 466 Σy = 170 Σ(x - )2 = 234 n = 10 Σ(y - )2 = 1434 The F-statistic is Question 37 options: a18.341 b1.834 c14.673 dNone is correct.
SSx=Σx2-(Σx)2/n= | 234 | ||
SSy=Σy2-(Σy)2/n= | 1434 | ||
SP=Σxy-(ΣxΣy)/n= | 466 | ||
SST=Syy= | 1434 | ||
SSE =Syy-(Sxy)2/Sxx= | 505.9829 | ||
SSR =(Sxy)2/Sxx = | 928.0171 |
Source | SS | df | MS | F |
regression | 928.02 | 1 | 928.017 | 14.6727 |
error | 505.98 | 8 | 63.248 | |
total | 1434.00 | 9 |
from above:F statistic =14.673
A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and...
Part of an Excel output relating 15 observations of X (independent variable) and Y (dependent variable) is shown below. Provide the values for a-e shown in the table below. (See section 15.5) Summary Output ANOVA df SS MS F Significance F Regression 1 2.7500 -d- -e- 0.632 Residual -a- -b- 11.45 Total 14 -c- A Company has recorded data on daily demand for its product (y in thousands of units) and the unit price (x in hundreds of dollars). A...
Case 1 The following information regarding a dependent variable Y and an independent variable X is provided. ZX-16 Σ(X-x)(Y-Y) SST-42 n=4 SSE 34 Refer to case 1. The slope of the regression function is 0.1 Refer to case 1. The slope of the regression function is Refer to case 1. The slope of the regression function is Refer to case 1. The slope of the regression function is -1 Refer to Case 1. The Y intercept is 0.1 Refer to...
The following information
regarding a dependent variable (Y in $1000) and an independent
variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
The following information regarding a dependent variable (Y in
$1000) and an independent variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
In a regression analysis, the variable that is used to predict the dependent variable a. is the independent variable b. must have the same units as the variable doing the predicting c. is the dependent variable d. usually is denoted by x
Section B: Long Questions - - B1: The following information regarding a dependent variable Y and an independent (SD1: 10 marks] variable X is provided EX= 180 EY=680 (Y - Y)(X-X) = -312 (X-X)2 - 468 (Y - Y)2 - 3,948 SSR - 208 n=4 Required: 1. Compute the total sum of squares (SST). (2 marks) 2. Compute the sum of squares due to error (SSE) (2 marks) 3. Compute the mean square error (MSE). (2 marks) 4. Compute the...
The equation of the regression line between two variables x (independent variable) and y (dependent variable) is given by y-hat = -3x + 2; and the correlation coefficient is r = -.95. The possible x-values range from 1 to 10. Which of the following statements are correct? I. The variable y is strongly positive correlated to the variable x. II. The variable y is strongly negative correlated to the variable x. III. If x = 5, one would predict that...
Considering \(Y\) as a dependent variable, a regression model is applied with three independent variables \(\mathrm{X} 1 \mathrm{X} 2\) and \(\mathrm{X} 3 .\) The results of the regression analysis are shown below:Answer the following:1. Define \(\mathrm{R}\) and \(\mathrm{R}\) Square.2. What is the significance of \(\mathrm{F}\) test.3. Which variable has the highest impact on Y.4. Write the regression equation.5. Calculate \(Y\) if \(X_{1}=10, X_{2}=20\) and \(X_{3}=5\)
Which of the following is a true statement? Regression analysis and ANOVA are similar tools because they both determine if an independent variable has an effect on a quantitative dependent variable, but in ANOVA the independent variable is qualitative and in Regression analysis the independent variable in quantitative. Regression analysis and ANOVA are similar tools because they both determine if a qualitative independent variable has an effect on a quantitative dependent variable. Regression analysis and ANOVA are similar tools because...
I need help writing the step by step directions (algorithm) for the following C++ code. ex. what would be input, output, and inbetween. No computer code! Many properties in engineering and science can be analyzed by trying to fit a straight line which uses x as the independent variable and y as the dependent variable. Suppose you have an array of x values and a corresponding array of y values. Write the process to fit a straight line to the...