y' when x=3, if the equation of the regression line is y=23.1 - 3.8x

Q: Find a linear regression model for the men's 100 meter freestyle data given in Table 7, where x is…

A: According to the given information it is required to form a linear regression model for the men’s…

Q: Based on the regression output, if a printer can print 4.8 pages per minute and copies in color,…

A: It is given that The reqression equation is Price = 238.3 + 26.8 Speed + 57.7 Color

Q: If the slope of the regression line is calculated to be 3.04 and the y' intercept is 14.6 then the…

A: Given X=7

Q: Here, mean of X is 3 and the mean of Y is 7. The regression line that predicts Y from X necessarily…

A: Normally, the line that minimizes the sum of squared errors of predicted. So, the experimenter who…

Q: IQ scores were obtained from randomly selected adopted children living together. For 20 such pairs…

A: The equation of the regression line is y=-3.22+1.02x.

Q: The return rates of crane (Tagak) in Bulacan was studied using regression analysis and this…

A: The relationship between return rate (x: % of birds that return to the colony in a given year) and…

Q: Last year, five randomly selected students took a math aptitude test before they began their…

A: Regression equation is the line of the best fit, calculated by minimizing the squared errors, for…

Q: If an estimated regression line has a y-intercept of 10 and a slope of -4, then when x= 2, the…

A: The y-intercept of 10 and a slope of -4. That is, a=10,b=-4 The regression line is, y=a+bx=10-4x

Q: The return rates of crane (Tagak) in Bulacan was studied using regression analysis and this…

A: Given: Percent of birds which return to the colony in a given year = x Percent of new adults which…

Q: A value of r close to 0 indicates that the regression equation is either useless or ______ for…

A: As the correlation value closer to 0, the coefficient of determination (R-square) will be decreased.…

Q: How to compute for the 1.  ∑x2   2.  ∑ y2 3. ∑xy of this data set for linear regression?

A: Solution-: Let, X=decile rank and Y=Grade point average We want to find, (1) ∑X2=? (2) ∑Y2=? (3)…

Q: what is teh regression equation  for  (2,44), (5,66), (4,57), (8,86) ,(5,67) where x is snowfall and…

A: Given data is(2,44)(5,66)(4,57)(8,86)(5,67)where x=snowfally=yield x (snowfall) y (yield) 2 44…

Q: Four pairs of data yield r= 0.942 and regression equation y=3x.Also, y= 12.75. What is the best…

A: Given that,, Regression equation y = 3x And  x=2.9

Q: Suppose that a researcher wants to predict crime (y) as predicted by urbanization (x). When creating…

A: The independent variable is urbanization. The dependent variable is crime rate. We have to predict…

Q: When is the standard error of the estimate (in linear regression) large?       When the X values…

A: Standard error of estimate =sqrt(sum(ei2)/N-k)), where ei are residuals, N is sample size and k is…

Q: For a set of data: x = (0,1,2,3,4,5,6) and y=(36, 28, 25, 24, 23, 21, 19), is it wise to use a…

A:

Q: Suppose you are looking at the results of a multiple regression using 3 ‘x’ variables and you see…

A: It is given that the F-Statistic is much greater than 10, and t-statistics are as follows: 6.1 for…

Q: Suppose you are interested in the relationship between educational attainment (measured by years of…

A:

Q: The regression line that relates hours an adult spent at the local mall, x , to amount spent at the…

A: Let, x: The number of hours an adult spent at the local mall. y: The amount spent at the mall.…

Q: It is possible for the regression equation to have none of the actual (observed) data points located…

A: The regression line can be considered as a "mean" for the data collection, and its value, like the…

Q: By using formula for a regression equation is Y' = 3X - 2. What would be the estimated Y score for a…

A:

Q: A sports statistician was interested in the relationship between game attendance (in thousands) and…

A: Given Information: Regression equation: y = 4.9x + 15.2

Q: The higher the difference between the observed value of y and the predicted value of y, the better…

A: The observed value of dependent variable is represented by y and the predicted value is represented…

Q: Let y = 0. 5 x +40 Be the regression equation() And x = 0. 5 y +20 Be the regression equation Then…

A:

Q: A surgery intern has conducted a study of the sleeping habits of her colleagues and has developed a…

A: Introduction:For each value of x (number of hours working on one shift), the value of y (number of…

Q: a. Compute bi and bo (to 1 decimal). bo Complete the estimated regression equation (to 1 decimal).…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Given : X =…

Q: You have a regression equation based on data from years 1 thru 10 (y = 6 + 32x, where x equals…

A: Given Data: The regression equation: y=6+32x where, y is the dependent variable x is the independent…

Q: A study of king penguins looked for a relationship between how deep the penguins dive in meters xx…

A:

Q: 8. The lines of regression for a data are given as under 2y – x - 50 = 0, 3y – 2x – 10 = 0. Show…

A:

Q: What is measured by the standard error of estimaate for a regression equation?

A: Standard Error of estimate(SEE) is given by, SEE=(Y-Y^)2NY: Actual ValueY^: predicted valuesN:…

Q: The coefficient of correlation between the ages of husbands and wives in a community was found to be…

A: Solution is given below:

Q: Is the regression equation for predicting Y in terms of X the same as the regression line for…

A: Here we have to define  Is the regression equation for predicting Y in terms of X the same as the…

Q: 4. Regarding the two variables X and Y, can we obtain two regression lines such as Y= -1.5 X + 7 and…

A: The two regression line as follows: Y = -1.5X + 7  X = 0.6Y + 11 The slope coefficient are byx =…

Q: You conducted a regression analysis between the number of absences and number of tasks missed by…

A: The regression line equation is in the form of straight-line equation                             y…

Q: Here formula for a regression equation based on a sample size of 25 observations is Y' = 2X + 9. (a)…

A:

Q: The relationship between x = temperature in degrees Fahrenheit and y = chirps per minute for the…

A: Given that the value of s is 0.97. That is, the value 0.97 represents the standard deviation. Here,…

Q: A regression line for predicting test scores has an r.m.s. error of 8 points. When this result is…

A: Given that, Root mean square error = 8 points

Q: The relationship between the entrance exam score (x) of MBA students and their GPA (y) upon…

A:

Q: If X and Y are`two regression lines with equal mean and if 1- a Y= aX + b and X = aY+ B. Prove that…

A:

Q: The correlation between first year college GPA and high school GPA is 0.683. If a simple linear…

A: Given information: The correlation between first year college GPA and high school GPA is 0.683. If a…

Q: In multiple regression, why do we prefer our IVs to be uncorrelated with each other (i.e., we ant…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: If the estimated intercept of the regression equation is negative, we can say the estimated…

A: Let the regression equation is y= ax + b where y is dependent variable and x is independent…

Q: Different hotels in a certain area are randomly​ selected, and their ratings and prices were…

A: The equation of the regression line is: ^y= -370 + 140x where , ^y = dependent variable x =…

Q: You have gathered data from a random sample of fast-food sandwiches in order to better understand…

A: Solution

Q: popular board game manufacturer was interested in the relationship between the amount of time it…

A:

Q: Step 2 of 2: Determine if a statistically significant linear relationship exists between the…

A:

Q: True or False  Having a linear regression equation allows us to predict a Y' score for any X value?

A: The linear regression equation allows us to predict Y' score for the given range of X values only.…

Q: The correlation between two variables x and y is –0.6. If we used a regression line to predict y…

A:

Q: Suppose the equation for the regression line for the number of runs scored in a season, y, is given…

A: We have given that  The equation of regression line for the number of runs scored in a season is, y…

Q: What is the equation for the least.square regression line where the independent or predictor…

A: Given the data of petal length and petal width for iris versicolor.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.