1. Find the L²-regression line for the points (1, 2), (3, 4), (5,8) in the plane.

Q: first year college students were selected with their grades in Grade 12 Math and Math in the Modern…

A: Here we are given                                            x…

Q: Obtain the equations of the lines of regression of Y on X from the following data. X : 12 18 24 30…

A: Introduction: Consider that x is the independent variable and y is the dependent variable. The size…

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A: Given Information:

Q: The number of murders and robberies per 100,000 population for a random selection of states are…

A: x y xy x2   2.4 25.3 60.72 5.76   2.7 14.3 38.61 7.29   5.6 151.6 848.96 31.36   2.6 91.1…

Q: 1. there are two sets of data on the number of customers (in hundreds) and sales (in thousands in…

A:

Q: The following constants are obtained from measurements on length in mm. (X1), volume in c.c. (X2)…

A:

Q: Find the y-intercept of the equation of the regression line for the following data: Consumer Price…

A: Given data, Consumer Price Index (X) 30.2 48.3 112.3 162.2 191.9 197.8 Cost of…

Q: The number of initial public offerings of stock issued in a​ 10-year period and the total proceeds…

A:

Q: What is the equation for the regression line if n = 7, Ex= 69, Ey= 528, ry = 4754and x² = 825? ý =…

A:

Q: Construct the simple linear regression equation of Y on X if n = 7, £x, =113, Ex=1983, y,-182 and…

A: Givenn=7∑xi=113i=1n∑i=1nxi2=1983∑yi=182i=1n∑i=1nxiyi=3186

Q: What is the equation for the regression line if n = 7,x = 69, y= 528, ay = 4754and z² = 825? ý =…

A:

Q: Find the equation of the regression line for the given data. -5 -3 4 -1 -2 3 11 -6 3 -4 -5 8. =…

A: The regression equation for one independent variable is,   From the given information,   Let X…

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A: a) Scatterplot for x and y: Procedure to draw scatter plot using Excel software is given below:…

Q: The table shows the total square footage (in billions) of retailing space at shopping centers and…

A: The independent variable is Total Square Footage. The dependent variable is Sales. The given data…

Q: Find the equation of the regression line for the given data. x -5 -3 4 1-1 -2 0 2 3-4 y -10 -8 91-2…

A: Find Regression line equations from the following data X Y -5 -10 -3 -8 4 9 1 1 -1 -2…

Q: In a partially destroyed laboratory record, only the lines of regression of y on z and x on y are…

A: given , partially laboratory records only the lines of regression of x on y and y on x 4x-5y+33 =0…

Q: For these (x,y) pairs of data points: 1,5 3,7 4,6 5,8 7,9 Compute b1. Compute b0. What is the…

A: We want to find the value of b0 and b1 and also find the equation of the the regression line

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A: The independent variable is Issues. The dependent variable is Proceeds. We have to find the…

Q: ind the slope m for the least-squares regression line. x y 5 8 9 10 11 13 17 19

A:

Q: Which of the following represents a regression line. a. y = 12.82x (0.24x - 2.56)   b. y = -0.57x -…

A: In regression a variable is predicted using other variables. Simple linear regression implies there…

Q: Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 6 6 11 13   Develop the…

A: Given:  n=5 The formulas of b0 and…

Q: (A)Determine the regression equation in y = ax + b form and write it below? (B) How many murders…

A: We want to equation of regression line in y = ax + b

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A: Use the Excel and Perform the Regression. Followings are the Steps to perform the Regression 1) Open…

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A:

Q: Find the regression model.  X                   Y 22                 13 32                 25 28…

A: The equation of the line is given by,

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A: SOLUTION

Q: Given the two regression lines x+2y-5 0, 3y + 2x-8=0, the means of x and y are 2,2 O 2.5, 1.5 O 5,4…

A: Given, Two regression lines x+2y-5=0 3y+2x-8=0

Q: For these (x,y) pairs of data points: 1,5 3,7 4,6 5,8 7,9 Compute . Compute . What is the…

A: We have given that,  The independent variable X  and the dependent variable y,  Then,  We will find…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: From given data, X Y X*Y X*X 11.3 13.9 157.07 127.69 8.2 10.7 87.74 67.24 7.1 10.3 73.13…

Q: . Compute the regression equations: X = 1 2 3 4 5 6 7 8 9 y = 9 8 10 12 11 13 14 16 15

A: Given,   X Y X.Y X.X 1 9 9 1 2 8 16 4 3 10 30 9 4 12 48 16 5 11 55 25 6 13 78 36 7…

Q: . The number of murders and robberies per 100,000 population for a random selection of states are…

A:

Q: The table shows the total square footage (in billions) of retailing space at shopping centers and…

A: (a)   Use EXCEL to determine the value of coefficient of determination.   EXCEL procedure:   Go to…

Q: For the following pairs of points, verify that the least square regression line is Y'= 1.8X -8.5.…

A: Regression: In order to obtain the least square regression line, first perform regression analysis…

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A: Software procedure for regression in EXCEL.Enter the given data in EXCEL sheet as Issues in column A…

Q: Let the equations of the regression lines be expressed as 8X - 2Y = 0 and 3Y – 2X = 9 Then the…

A:

Q: A researcher wants to determine if the exam scores of the students are dependent on the length of…

A:

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: x¯=∑xn=37.28=4.65y¯=∑yn=63.98=7.9875

Q: b) Consider the data showing observations on the quantity demanded of a certain commodity depending…

A: The dependent variable is Quantity demanded. The independent variables are Price and Income. We have…

Q: Consider the linear regression y, = Bo + B,x, +u,, i=1,..,n,n+1,..,n+ p where E(u,)= 0. Is it…

A:

Q: Given (5, 6), (4, 4), (3, 4), (2, 2), and (1, 1), find the least regression line. a. 2x - 2y = 1 C.…

A: When we want to predict the value of one variable, say y, from the given value of another variable,…

Q: a) Compute the linear regression line y=bo+b₁x b) What is the estimated value, y for x = 7?

A: Given: Number of pairs of observations, n=9 X Y 1 16 2 23 3 35 4 28 5 44 6 40 7 22…

Q: Consider the data. x, 12 3 45 y, 4 8 5 11 12 The estimated regression equation for these data is ŷ =…

A: The given data is x y 1 4 2 8 3 5 4 11 5 12

Q: 7. The equation of the regression line is given by A. y = −116.01 + 0.12x B. y = 1321.32 − 7.64x…

A:

Q: 2 3 4 5 Yi 2 8 10 14 2(x, – *)(y, – ÿ) 2(x, - x)2 (d) Develop the estimated regression equation by…

A: xi yi (xi-x) (xi-x)2 (yi-y) 1 2 -2 4 -6 2 8 -1 1 0 3 6 0 0 -2 4 10 1 1 2 5 14 2 4 6 Mean…

Q: The table below shows the numbers of new-vehicle sales (in thousands) for Company 1 and Company 2…

A:

Q: A) How many murders per 100,000 residents can be expected in a state with 10.7 thousand automatic…

A: Given : xx 11.7 8.4 6.6 3.9 2.4 2.4 2.2 0.6 yy 14 10.9 9.4 7.5 6 5.8 5.8 4.4

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

A: ANSWER: Form the given data,

Q: Find the equation of the regression line for the given data. -3 -6 = -2.097x + 0.206 %3D = 0.206x -…

A:

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

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

Q: Find the quadratic regression curve through the following points (2, 5), (3, 5), (5, 3) O y =…

A: Given : three points (2,5) ; (3,5) ; (5,3) To find : Equation of the quadratic regression curve…

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.