Consider the simple linear regression model: Wage B1+ẞ2 educ+e, where = 1. Wage means daily wage measured in dollars. 2. educ means years of education (schooling) The regression output is given below: . reg wage educ Source | SS df MS Number of obs = 100 F(2, 97) = 97.14 Model | 10000.00 Residual | 10000.00 1 5000.00 Prob > F = 0.0000 98 100.00 R-squared = 0.5000 Adj R-squared = 0.4900 Total | 20000.00 99 200.00 Root MSE = 10.000 wage | Coef. Std. Err. t P>|t| [95% Conf. Interval] educ _cons | 10.0000 10.0000 5.0000 10.0000 2.00 1.00 0.050 0.317 0.0000 -20.0000 20.0000 30.0000

Find the slope ofthe line in Figure l.

A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking related to the risk of strokes. The data file “Stroke.xslx” includes a portion of the data from the study. The variable “Risk of Stroke” is measured as the percentage of risk (proportion times 100) that a person will have a stroke over the next 10-year period.   Regression Analysis As Image:  1) Based on the simple regression analysis output, write the estimated regression equation.   2) What is the correlation coefficient between Risk of Stroke and Age? How do you find i

Define the different ways to use linear regression?

Describe regression variation in terms of variation in Y.

Find the degrees of freedom in a regression model with an intercept term that has 88 observations and 7 explanatory variables.

Find the equation for the least squares regression line of the data described below. Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimetres), y. Rainfall statistics • The mean of the x-values is 11.503. • The mean of the y-values is 366.637. • The sample standard deviation of the x-values is 4.900. • The sample standard deviation of the y-values is 44.387. • The correlation coefficient of the data set is 0.896. Round your answers to the nearest thousandth. y = L Submit

The age and height (in cm) of 400 adult women from Bolivia were measured. A researcher wants to know if age has any effect on height. A linear regression is carried out in Minitab and the following output obtained. Coefficients Term Constant Age (a) Write down the regression model. (b) Interpret the regression coefficient for the fitted model. (c) Use the output from Minitab to explain if the age of a participant affects their height. Percent (d) The normal probability plot of the residuals from this regression model is given below. Do the assumptions of the regression model seem reasonable? Justify your answer. 99.9 8 28 22299229 88 Coef SE Coef 152.94 7.69 0.022 0.231 01 -100 T-Value P-Value VIF 19.90 0.000 0.10 0.924 1.00 -50 Normal Probability Plot (response is Height) 0 Residual 50 ***** 100 150

Which pair of h0/h1 is used in the two sided test for the slope of a simple linear regression?

what slope represents the linear regression