Examples of Independent & Dependent Variables: •xis Rainfall and y is Crop Yield • x is Advertising Expense and y is Sales If the relationship with the dependent variable is in the form of single variables, then it is known as Simple Linear Regression ilustrated as X-> Y. YOU CAN DO IT! Using the 2 examples above, • xis Rainfall and y is Crop Yield •x is Advertising Expense and y is Sales, identify which is the independent variable and which is the dependent variable. Explain why you identified such. Activity No. 1

Does the following table represent a linear function ? If so, find the linear equation that models the data.

What is regression analysis? Describe the process of performing regression analysis on a graphing utility.

Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300

Employee Turnover The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to Walmart for a given employee turnover percentage in a year.13 E = employee turnover 10 20 30 40 C = cost 250 400 550 700 a. Show that the data can be modeled by a linear function. b. Find the slope of the linear function. c. Find a linear model for the data. d. Use the result from part c to find the cost to Walmart if employee turnover is 33 in a year.

Data on tuition and mid-career salary are collected from a number of universities and colleges. The result of the data collection is the linear regression model ŷ where x = annual tuition and y = average mid-career salary of graduates, both in thousands of dollars. = 0.84x + 161 1. Which quantity is the independent variable? annual tuition average mid-career salary of graduates 2. According to this model, what is the average salary for a graduate of a college or university where the annual tuition is $30,000? S 3. What is the slope of this regression model?

Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of thesame make and model. The extended data table (left) and fit model report (right) are based on aquadratic model. Calculate R2. Describe what this value means in the context of the problem.

The table shows the numbers of​ new-vehicle sales​ (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is ModifyingAbove y with caret equals 0.993 x plus 1 comma 195.82y=0.993x+1,195.82. Complete parts​ (a) and​ (b) below.   ​New-vehicle sales left parenthesis Company Upper A right parenthesis comma x(Company A), x 4 comma 1674,167 3 comma 8823,882 3 comma 5693,569 3 comma 4433,443 3 comma 2993,299 3 comma 1173,117 2 comma 8372,837 2 comma 4982,498 1 comma 9401,940 2 comma 0842,084   ​New-vehicle sales left parenthesis Company Upper B right parenthesis comma y(Company B), y 4 comma 9204,920 4 comma 8444,844 4 comma 8374,837 4 comma 7104,710 4 comma 6754,675 4 comma 4284,428 4 comma 6604,660 3 comma 8323,832 2 comma 9272,927 2 comma 7532,753       Question content area bottom Part 1 ​(a) Find the coefficient of determination and interpret the result.…

The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is y = 0.974x + 1,260.77, Complete parts (a) and (b) below. New-vehicle sales (Company A), x New-vehicle sales (Company B). y 4,162 3,923 3,584 3,400 3,251 3,114|2,845 2,501 4,893 4,833 4,842 4,734 4,649 4,452 4,667 3,801 1,943 2,092 2,959 2,780 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in new-vehicle sales for V that can be explained by the variation in new-vehicle sales for V and is represented by V The remaining fraction of the variation, V . is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. Enter your answer in each of the answer boxes. P Type here to…

Please show complete solution Simple linear regression and correlation