Linear Regression Worksheet 1 Answer Key Equation Created Date 1 4 2016 8 11 44 PM
LINEAR REGRESSION WORKSHEET 1 1 A convenience store manager notices that sales of soft drinks are higher on hotter days so he assembles the data in the table Make a scatter plot of the data Find and graph a linear regression equation that models the data c Use the model to predict soft drink sales if the temperature is 95 F 50 1 178 5 48 3 173 6 45 2 164 8 44 7 163 7 44 5 168 3 42 7 165 0 39 5 155 4 38 0 155 0 2 Anthropologists use a linear model that relates femur length to height The model allows an anthropologist to determine the height of an individual when only a partial skeleton including the femur is found In this problem we find the model by
Linear Regression Worksheet 1 Answer Key
Linear Regression Worksheet 1 Answer Key
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Using ages as the independent variable and Number of driver deaths per 100 000 as the dependent variable make a scatter plot of the data Calculate the least squares best fit line Put the equation in the form of a bx Find the correlation coefficient Solutions to the Above Problems a Let us organize the data in a table b We now graph the regression line given by y a x b and the given points Figure 3 Graph of linear regression in problem 1 b We now graph the regression line given by y ax b and the given points Figure 4
Write a linear equation to describe the given model Step 1 Find the slope This line goes through 0 40 and 10 35 so the slope is 35 40 10 0 1 2 Step 2 Find the y intercept We can see that the line passes through 0 40 so the y intercept is 40 Step 3 Write the equation in y m x b form Understand the concept of the least squares criterion Interpret the intercept b 0 and slope b 1 of an estimated regression equation Know how to obtain the estimates b 0 and b 1 from Minitab s fitted line plot and regression analysis output Recognize the distinction between a population regression line and the estimated regression line
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MR CAS S WEBSITE College Prep Materials This page titled 12 8 Regression Distance from School Worksheet is shared under a CC BY 4 0 license and was authored remixed and or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform a detailed edit history is available upon request A statistics Worksheet The student will
Write the linear regression equation for this set of data rounding values to five decimal places Using this linear regression equation find the approximate gross earnings in millions of dollars generated by 610 theaters Round your answer to two decimal places Find the minimum number of theaters that would generate at least 7 65 9 Whether the relationship appears to be linear or not perform a linear regression of the form y mx b Write the regression equation below y 1 7x 15 9 If done by hand may be y 2x 16 10 The value of b represents the y intercept of the regression equation What is your b value Be sure to include units 15 9 cm 11
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Linear Regression Worksheet 1 Answer Key - Using ages as the independent variable and Number of driver deaths per 100 000 as the dependent variable make a scatter plot of the data Calculate the least squares best fit line Put the equation in the form of a bx Find the correlation coefficient