A recent article in Bloomberg Businessweek listed the "best small companies". We are interested in the current result of the companies' sales and earnings. A random sample of 12 companies was selected and the sales and earnings, millions of dollars, were reported. Using regression analysis, the following output was produced. Can you conclude that the slope of the regression line is different from Zero? (assume a=.01) a.  Yes, reject H1 and conclude the slope is different from zero. b.  No, do not reject H0 and conclude the slope is not different from zero. c.  Yes, reject H0 and conclude the slope is different from zero. d.  No, don't reject H1 and conclude the slope is not different from zero.

Q: Interpret the slope and the y-intercept in the context of the problem.

A: The data is defined below as follows:   From the information, given that   Let X denotes the…

Q: The data show the number of viewers for television stars with certain salaries. Find the regression…

A: Given: n = 8 Formula Used: Regression equation: Y = a + bX Where, X is independent variable. Y is…

Q: What is the regression equation? =x (Round to one decimal place as needed) What is the best…

A: Given: Chest size(inches), X Weight (pounds), Y 40 227 53 360 38 153 43 206 44 234 58…

Q: Four pairs of data yield an r = .902 and a regression equation of y = 4x + 7. Also the average…

A: According to the provided information, the regression equation is y=4X+7.

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: calculation procedure for regressionsum of (x) = ∑x = 840sum of (y) = ∑y = 2400sum of (x^2)= ∑x^2 =…

Q: A sales manager collected the following data on annual sales for new customer accounts and the…

A:

Q: The accompanying data are the number of wins and the earned run averages​ (mean number of earned…

A: Note: Hey there! Thank you for the question. As you have posted a question with multiple sub-parts,…

Q: The accompanying data are the number of wins and the eamed run averages (mean number of eamed runs…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The table below shows the average weekly wages (in dollars) for state government employees and…

A: Given information: The regression equation line is: y^=1.481x-63.795 The data is provided as: x…

Q: If we include an additional independent variable in our regression, the total sum of squares of our…

A: Given that

Q: What is meant by the slope of the regression

A: In a linear regression model, We have one dependent variable and one independent variable.

Q: Results of Regressions of Average Hourly Earnings on Gender and Education Binary Variables and Other…

A: Assuming 0.05 significance.The coefficients of female are -2.63, -2.96 and -2.96 in model 1, 2 and…

Q: Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find…

A: From the given information we make the following table x(Right Arm) y( Left Arm) x2 y2 xy 103…

Q: Are the heights of the individuals affected by the heights of their parents ?  1. write the…

A: General form:   y^=β0+β1x1+β2x2

Q: The table below shows the average weekly wages (in dollars) for state government employees and…

A: We are given the equation of the regression line as,

Q: What is the slope? b. Find the correlation coefficient between the age and the life years left.

A: We have given that Left = 60.1- 0.65 is the regression formula (Age) y=60.1-0.65x 96% R-Squared…

Q: Bill wants to explore factors affecting work stress. He would like to examine the relationship…

A: Given information: Age  Number of years Social support Work stress 25 2 23 11 29 5 29 10 43…

Q: What does it mean for a regression line to be the "best-fit" line.

A: The form of the simple linear regression line is given by,

Q: Because colas tend to replace healthier beverages and colas contain caffeine and phosphoric acid,…

A: The given data is as follows: coals per week (x)Bone mileral density…

Q: On the first day of class, an economics professor administers a test to gauge the math preparedness…

A: The table shows the regression output.

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

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

Q: The manager of a car dealership wants to predict the relationship between number of sales persons…

A: Given that The manager of a car dealership wants to predict the relationship between number of sales…

Q: Fourteen hikers were surveyed at Algonquin Park, and asked for how many days have you been hikingand…

A: Number of days hikedDistance Traveled112117218319321523525623730731937103911411252

Q: 3.) Below is some output from a bivariate regression with respondents' inflation-adjusted personal…

A: In the bivariate regression, the dependent variable(Y) is the inflation-adjusted personal income and…

Q: The accompanying data are the number of wins and the earned run averages (mean number of earned runs…

A: The scatterplot is obtained by using EXCEL. The software procedure is given below: In first column…

Q: you take a bar of soap and weigh it after each shower.  will the regression line be positive or…

A: Answer: Regression line be negative.

Q: The datasetBody.xlsgives the percent of weight made up of body fat for 100 men as well as other…

A: 1) Software procedure for regression in EXCEL. Enter the given data in EXCEL sheet. Go to Data >…

Q: Listed below are the numbers of commuters and the number of parking spaces at different Metro-North…

A: A linear regression equation is used to relate the response variable with exponential variable…

Q: Why the regression line is a straight line rather than a curved line?

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.