The following table gives retail values of a 2017 Corvette for various odometer readings. Odometer Reading Retail Value ($) 13,000 52,275 18,000 51,775 20,000 51,400 25,000 50,375 29,000 49,675 32,000 49,125 (a) Find the equation of the least-squares line for the data. (Where odometer reading is the independent variable, x, and retail value is the dependent variable. Round your numerical values to two decimal places.) ŷ =        (b) Use the equation from part (a) to predict the retail price of a 2017 Corvette with an odometer reading of 30,000. Round to the nearest $100.   (c) Find the linear correlation coefficient for these data. (Round your answer to four decimal places.) r =

Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression​ equation, letting the budget be the predictor​ (x) variable. Find the best predicted amount that a movie will gross if its budget is ​$135 million. Use a significance level of alpha equals 0.05 . Budget left parenthesis $ right parenthesis in Millions 45 24 115 74 72 48 117 67 4 60 124 24 6 152 8   Gross left parenthesis $ right parenthesis in Millions 115 10 95 69 127 112 93 101 50 102 223 26 18 282 56   The regression equation is ŷ = __ + __x. (Round to one decimal place as needed.)

This table shows the average heights for American boys in 1990.   Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 5 106.6 7 119.3 10 137.1 14 157.5   Decide which variable should be the independent variable and which should be the dependent variable. Draw a scatter plot of the data. Does it appear from inspection that there is a relationship between the variables? Why or why not? Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx Find the correlation coefficient. Is it significant? Find the estimated average height for a one-year-old. Find the estimated average height for an eleven-year-old. Does it appear that a line is the best way to fit the data? Why or why not? Are there any outliers in the data? Use the least squares line to estimate the average height for a sixty-two-year-old man. Do you think that youranswer is reasonable? Why or why not? 10. What is the slope of the least-squares (best-fit) line?…

The director of surgery at a local hospital is interested in understanding his unit’s costs. An assistant collected data for the past 36 months on unit cost (labor, supplies, and so on) along with the number of procedures performed in the unit. The assistant analyzed the data using a spreadsheet program, and the following output was generated. Equation     Intercept                                                         $  1,006,000       Coefficient on procedures                         $              230 Statistical data        Correlation coefficient                                             0.518        R2                                                                                 0.268     The unit is planning to perform an average 18,5000 procedures per month for the coming year.   Required A: Use the regression output to write the surgical unit cost equation.   Surgical unit cost   = ____________ + __________ x Procedures   Required B: Based on the cost equation,…