regression line

The yearly investments made by a business man and the profits earned by him are listed here. Determine the equation of the regression line and predict the value for y ′ when x = 20. Year 2000 2001 2002 2003 2004 Investments (in lakhs $) ( x ) 5 6.5 8.5 12 15 Profits (in 10..

Find the regression line for the following data and predict for y ′ when x = 40. x 1 2 4 8 15 20 27 33 43 44 y 1 6 10 15 23 30 40 48 60 63 => y ′ = 2.847 - 1.358 x , - 51.473 or y ′ = 2.847 + 1.358 x , 57.167 or y ′ = - 2.847 + 1.358 x , 51.473 or y &prim..

Determine the equation of the regression line for the data and predict for y ′ when x 1 = 9, x 2 = 15. x 1 3 4 5 6 7 8 x 2 1 4 2 5 8 7 y 38 152 111 289 592 612 => y ′ = - 251.8 - 56.99 x 1 + 52.73 x 2 ; 26 or y ′ = - 251.8 + 56.99 x 1 + 52.73 x 2 ; 1052 or y &p..

A pizza outlet owner wants to know the relationship between the student population and the sales in his outlet using the previous years data. Determine the equation of the regression line and predict the value for y ′ when x = 50. Month Jan Feb Mar Apr May Jun Jul Aug Sep ..

For 10 observations on price(in 1,000$) and supply(tonnes) of an item, the following data were obtained. Determine the equation of the regression line for the data and predict the value for y ′ when x = 16. ∑ x = 130, ∑ y = 220, ∑ x 2 = 2288, ∑ ..

Estimation (point estimators and confidence intervals): Estimating population parameters and margins of error Properties of point estimators, including unbiasedness and variability Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of conf..

Probability problems with finite sample spaces Conditional probability Discrete/continuous random variables Mean, variance of discrete random variable Standard distributions Mean, standard deviation of normally distributed random variable Central limit theorem Line of best fit - ..

Comparing center and spread: within group, between group variation Comparing clusters and gaps Comparing outliners and other unusual features Comparing shapes Exploring bivariate data: Analyzing patterns in scatterplots Correlation and linearity Least-squares regression ..