The relationship between the entrance exam score (x) of MBA students and their GPA (y) upon graduation is given by ŷ = -0. 57 +0. 013x Based on this model, the predicted GPA of a student who had 200 for the entrance exam score is (Keep 2 decimal places) and the value of the slope of this fitted regression line is (Keep all the decimal places)

Q: A regression was run to determine if there is a relationship between the happiness index (y) and…

A: Given: Happiness index (y) life expectancy (X)  Regression equation : y= - 0.797 + 0.181 x

Q: The large national bank charges local companies for using their services. A bank official reported…

A: Given Information: Regression equation y^=-2700+20x SXY=65 In testing of slope, p-value for the two…

Q: A 10-year study conducted by the American Heart Association provided data on how age, blood…

A: The given output shows the regression analysis.

Q: Smokers don’t live as long (on average) as nonsmokers, and heavy smokers don’t live as long as light…

A: More smoking less survival time.

Q: The table below shows the amounts of crude oil (in thousands of barrels per day) produced by a…

A: Obtain the 90% prediction interval for the amount of crude oil produced by the country is 5542…

Q: create graph of the two-variable data with a regression line, r, r2, and separate residual plot

A: Taking total distance as response and maximal speed as predictor and ignoring the deviations () in…

Q: A study was conducted to see if birth weight affects the increase in weight of a newborn between…

A: Given that: The regression line between the two variables: Increase (% of birth…

Q: The results of the simple linear regression are provided below. Based on results below, interpret…

A: It is given that X : sales revenue, Y = service charge, P-value(two-tailed) = 0.034

Q: The following table gives the data for the average temperature and the snow accumulation in several…

A: See the solution

Q: The equation used to predict college GPA​ (range 0-4.0) is y=0.18+0.53x1+0.002x2​, where x1 is high…

A: Given, The equation used to predict college GPA​ is y=0.18+0.53x1+0.002x2​, where x1 is high school…

Q: Calculate slope and intercept of the regression line.

A: Here dependent variable (y) = % alcohol content Independent variable (x) = Calories in a five-ounce…

Q: The electric power consumed each month by a chemical plant is thought to be related to the average…

A: The regression analysis is conducted here by using EXCEL. The software procedure is given below:…

Q: What is a numerical prediction from the regression line equation shown in the photo?

A: Here, the regression line equation is " Height ( in. ) = 52.293743 + 1.3679745 Shoe size ( in. ) ".…

Q: Interpret an R^2 value of 0.62 for a linear regression model where X is the independent variable and…

A: Coefficient of determination, R2 = 0.62

Q: The following table gives the data for the grades on the midterm exam and the grades on the final…

A: The independent variable is Grades on Midterm. The dependent variable is Grades on Final Exam. This…

Q: What is the slope and intercept for the regression equation given this data? X = 72, 81, 54, 50, -3…

A: Given that X Y 72 69 81 97 54 73 50 22 -3 -10

Q: on results below, interpret the estimate of A, the Y intercept of the line.

A: The large national bank charges local companies for using their services. A bank official reported…

Q: Determine the equation of the regression line,

A: The above table gives the data for the grades on the midterm exam and the grades on the final exam.…

Q: regression equation that relates risk of a stroke to a person's age, systolic blood pressure and…

A: *Answer: Consider the provided details and the “Stroke” data file to solve the subparts. a. To…

Q: A car dealer wants to estimate the price of a used car based on the age of the car and the mileage.…

A: Solution: From the given information, the regression equation is Price = 21, 619 – 1022 Age – 0.03…

Q: 5. Manatees are large, gentle sea creatures that live along the Florida coast. Many manages are…

A: powerboat registrations(x) manatees killed by powerboats(y) 580 33 640 39 671 43 715 50

Q: The table shows the amounts of crude oil​ (in thousands of barrels per​ day) produced by a certain…

A: The given regression equation is as follows: Here the variable x represents the amounts of crude…

Q: The equation used to predict college GPA (range 0-4.0) is y = 0.17 +0.51x, +0.002x,, where x, is…

A:

Q: The equation used to predict annual cauliflower yield (in pounds per acre) is y = 24,231 +4.417x, -…

A: The multiple linear regression equation is : y^=24231+4.471 x1-4.677 x2 (a) y^=24231 + (4.471×36100)…

Q: · Develop a simple linear regression equation for starting salaries using an independent variable…

A: Dependent variable is starting salary.

Q: Two variables have a positive linear correlation.  Is the slope of the regression line for the…

A: We have given that  Two variables have a positive linear correlation

Q: an independent researcher wants to investigate if the factors which determine the house rent (Y,…

A: The critical value from student t distribution at 95% level of significance at n-2 degree of freedom…

Q: The following table gives the data for the average temperature and the snow accumulation in several…

A: Given As per given data enter in to the Excel sheet

Q: The average August temperatures (y) and geographic latitudes (x) of 13 cities in the United States…

A: For the given Find What is the slope of the line? Estimate the mean August temperature for a city…

Q: The equation used to predict college GPA (range 0-4.0) is y= 0.17 +0.52x, +0.002x,, where x, is high…

A: Given data: The equation used to predict college GPA is: y^=0.17+0.52x1+0.002x2…

Q: The estimated regression equation for a model involving two independent variables and 10…

A:

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.