Grades A Statistics instructor created a linear regres-sion equation to predict students’ final exam scores from their midterm exam scores. The regression equation wasFin = 10 + 0.9 Mid.a) If Susan scored a 70 on the midterm, what did theinstructor predict for her score on the final?b) Susan got an 80 on the final. How big is her residual?c) If the standard deviation of the final was 12 points andthe standard deviation of the midterm was 10 points,what is the correlation between the two tests?d) How many points would someone need to score on themidterm to have a predicted final score of 100?e) Suppose someone scored 100 on the final. Explainwhy you can’t estimate this student’s midterm scorefrom the information given. f) One of the students in the class scored 100 on the midtermbut got overconfident, slacked off, and scored only 15 onthe final exam. What is the residual for this student? g) No other student in the class “achieved” such a dra-matic turnaround. If the instructor decides not to include this student’s scores when constructing a newregression model, will the R2 value of the regressionincrease, decrease, or remain the same? Explain.h) Will the slope of the new line increase or decrease?

Q: pediatrician wants to determine the relation that exists between a child's height (x) and head…

A:

Q: alyze the relationship between the hourly earnings and years of schooling.                    The…

A: Here we have to calculate prediction error. Prediction error can be defined as difference between…

Q: The data show the bug chirps per minute at different temperatures. Find the regression​ equation,…

A: The regression equation is given as Y=24.36+0.056(X).

Q: A regression was run to determine if there is a relationship between hours of TV watched per day,…

A: The regression equation is y = -1.017x + 23.99, where x is the hours of TV watched per day and y is…

Q: A regression analysis was performed to determine if there is a relationship between hours of TV…

A: Given y=ax+b  where a=-0.962 b=32.772 y=-0.962x+32.772 regression equation is y=-0.962x+32.772…

Q: In simple linear regression if the standard error (S) = 21 then the mean square due to error is: %3D…

A: We have to find correct option for given question..

Q: A pediatrician wants to determine the relation that exists between a child's height (x) and head…

A: Given r=0.315 y=0.396x+9.36

Q: A regression was run to determine if there is a relationship between hours of study per week (2) and…

A: Using the given information,   The regression line is,     The objective is to predict the final…

Q: A regression was run to determine if there is a relationship between hours of TV watched per day,…

A: Note: In the question the value of x is 11  Let X denote the hours of TV watched per day,  Let Y…

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: Given data, Regression equation is y=a+bx a=20.874 b=-0.638 Therefore regression equation is…

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: Given,Regression equation isy=a+bx wherea=30.268b=-1.273Therefore regression equation…

Q: A regression was run to determine if there is a relationship between hours of TV watched per day,…

A: We have given that a= -1.215 b= 23.457 Since we know that regression equation is given by ŷ = ax + b…

Q: A set of X and Y scores has SSX = 8, SSY = 15, and SP = 40. What is the slope for the regression…

A: given data SSx = 8SSy = 15SP = 40

Q: A regression was run to determine if there is a relationship between hours of study per week (x) and…

A: Given that  y=ax+b a = 5.235 b = 21.73 r ^2 = 0.36 r = 0.6

Q: A regression was run to determine if there is a relationship between hours of TV watched per day,…

A: The regression eq: y = ax +b Given, a= -1.029            b =25.225

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: Let the independent variable X denote hours of TV watched per day  Let the dependent variable Y…

Q: A regression was run to determine if there is a relationship between hours of TV watche per day, r,…

A: Let y : number of sit-ups a person can do in a minute       x: Hours of TV watched per dayThe…

Q: A regression analysis was performed to determine if there is a relationship between hours of TV…

A:

Q: Roller coaster The Mitch Hawker poll ranked the Top 10 steel roller coasters in 2011. A table in the…

A: a) In this scenario, the variables are the initial drop and duration of the ride.

Q: Use this to predict the number of situps a person who watches 4.5 hours of TV can do (to one decimal…

A: In this case, the regression equation is y=-1.195x+26.

Q: A regression was run to determine if there is a relationship between hours of TV watched per day, x,…

A: We have to find predicted value.

Q: A pediatrician wants to determine the relation that exists between a child's height (x) and head…

A: Given that Correlation coefficient=0.6  Regression equation y=0.221x+8.15  We have to find the…

Q: A regression analysis was performed to determine if there is a relationship between hours of TV…

A: Given information- We have given the relationship between TV watched (x) and number of sit ups a…

Q: Using your dataset, run a regression of Y=GPA and X=# Friends. (Ido not need your actual data, just…

A: The regression analysis was used for prediction analysis. It has two regressors and two variables.…

Q: Use this to predict the number of situps a person who watches 13 hours of TV can do (t

A: The regression equation is given by y = -1.153x + 39.487

Q: A regression was run to determine if there is a between hours of TV watched per day, x, and r ups,…

A: Given: x: hours of TV watches y: number of sit-ups y=ax+ba=-1.357b=20.532

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A:

Q: A regression was run using 11 subjects to determine if there is a relationship between hours of TV…

A:

Q: : Use the linear regression formulas to find the slope (a1) and the intercept (?0) of the best fit…

A: Given information:Data points:y-3.3-7.1-9.8-12.3-14-21.4-21.3-28.6-2To find:The slope of the…

Q: Use the regression equation to predict the value of y for x = -0.2. Assume that the variables x and…

A: Solution:  x y (x-x) (y-y) (x-x)(y-y) (x-x)2 -5 11 -4.5 9.3 -41.85 20.25 -3 6 -2.5 4.3…

Q: The arm span and foot length were both measured (in centimeters) for each of 20 students in a…

A: Solution: From the given information, the regression out is displayed.

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A:

Q: A regression analysis was performed to determine if there is a relationship between hours of TV…

A: Given : Regression equation : y=ax+b 'where  a=-0.609 b=34.589

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: Given info: A regression was run to determine if there is a relationship between hours of TV watched…

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: The results of the regression were: y=ax+b a=-0.788 b=22.872 r2=0.388129 r=-0.623

Q: Determine a linear regression equation for the data.  Round the slope and y-intercept to the nearest…

A: Determine a linear regression equation for the data. Round the slope and y-intercept to the…

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.