California highways were monitored and the following relationship between speed and breaking distance was observed. Speed (mph) Distance (ft) 30 50 40 81 50 125 60 186 70 246 80 318 (a) Find the linear correlation coefficient between the two variables. (b) Is the relation between speed and distance linear?

The data below is 12 observations of Math SAT scores (x) and scores on Math placement test (y). Calculate the linear correlation coefficient, r. Enter your answers to two decimal places. Y 580 619 510 476 590 506 550 469 450 523 470 392 500 508 440 462 600 625 530 569 410 346 430 508 Question Help: Message instructor Submit Question Chp Ce %23 7 8. 9. W <6 64

Listed below are the budgets​ (in millions of​ dollars) and the gross receipts​ (in millions of​ dollars) for randomly selected movies. Answer parts ​a-c. Budget (x)    Gross (y)60    6091    6050    4839    62193    558105    14087    52 a. Find the value of the linear correlation coefficient r.

The data below was collected from manufacturer advertisements of their vehicles horsepower (x) and highway gas mileage (mpg=y). Use this data to answer the following questions. horsepower 146 250 340 350 390 190 220 mpg 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places.p-value==2. Is there a linear correlation between horsepower and highway gas mileage (mpg)?   3. If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. Be careful with your sign.r=r= 4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.ˆy=y^=5. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your final answer to two decimal…