How do you write a regression equation? A linear regression line has an equation of the form Y 40000 = a + bX, where X is the explanatory variable and Y is 20000 - the dependent variable. The slope of the line is b, and 20000 a is the intercept (the value of y when x = 0). pone 100 200 300 400 S00 Types of correlation coefficient formulas. There are several types of correlation coefficient formulas. One of the most commonly used formulas is Pearson's correlation coefficient formula. If you're taking a basic stats class, this is the one you'll probably use: n(Σxy)-Σx)(Σy) r = V[nEx² – (Ex)²] [ n£y² – (Ey)² ] Pearson correlation coefficient Using the data below 3 9 10 91 13 12 56 93 89 2 4 7 8 11 14 15 Xi 87 75 57 80 67 90 88 82 95 72 77 Yi 44 57 89 96 87 90 85 89 91 52 70 39 55 30 59 Determine the following: (b) Σχ (k) ExY (a) Σχ (е) а (f) Er (n) b (c) X (9) ΣΥ (d) Y (1) n

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (The pair of variables have a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below.   Hours spent studying, x 0 1 3 4 5 6   ​(a) x=3 hours ​(b) x=2.5 hours Test​ score, y 40 44 52 49 62 70   ​(c) x=15 hours ​(d) x=1.5 hours       Question content area bottom Part 1 Find the regression equation.   y=enter your response herex+enter your response here ​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)

EQuestion Help Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x IA Test score,y 3 (a) x=2 hours (c) x= 12 hours (b) x = 25 hours (d) x= 4.5 hours 38 44 50 47 61 68 Find the regression equation. y = 6.269 x+ (32.48) (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OD. OB. OC. O A. 80- 80- 80 80-4 0-+ Hours studying Hours studying Hours studying Hours studying 10 18 PM (E) More 10/3/2020 Click to select your answer(s)

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 4 (a) x = 2 hours (c) x = 13 hours (b) x= 2.5 hours (d) x = 4.5 hours 2 3 5 40 45 52 49 63 70 Find the regression equation. ý =x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. O A. OB. OC. OD. 80- 80- Hours studying Hours studying Hours studying Hours studying (a) Predict the value of y for x= 2. Choose the correct answer below. O A. 52.2 О В. 49.2 ОС. 64.2 O D. not meaningful (b) Predict the value of y for x = 2.5. Choose the correct answer below. O A. 115.4 О В. 52.2…

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (The pair of variables have a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below.   Hours spent studying, x 1 2 2 3 4 6       Test​ score, y 39 44 52 47 64 70         ​(a)x=2hours ​(b)x=3.5hours ​(c)x=13hours ​(d)x=1.5hours       Find the regression equation.   y=______  x+ (_____) ​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y (a) x = 2 hours (c) x = 14 hours (b) x = 4.5 hours (d) x = 1.5 hours 2 3 4 4 6 38 45 51 48 64 67 Find the regression equation. ŷ =x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. A. ОВ. OD. 80- 80- Hours studying Hours studying Hours studying Hours studying (a) Predict the value of y for x = 2. Choose the correct answer below. O A. 44.5 О В. 58.8 OC. 41.7 O D. not meaningful (b) Predict the value of y for x = 4.5. Choose the correct answer below. O A. 58.8 О В. 41.7 OC.…

The following table shows the approximate amount of trash produced in an industrialized country from 1980 to 2000. Let x represent the year after 1980 (1980 is year 0) and y represent the amount of trash (millions of tons). Year Million Tons 1980 150 1990 202 2000 220 (a) Draw the graph for this data. (b) Find the equation of the regression line for the data. (Round your answers to one decimal place.)y =   x +  (c) Use the equation to predict the amount of trash y that will be produced in 2010 and 2015. (Round your answers to one decimal place.)   2010:    _______million tons 2015:    _______ million tons

The table shows a country's average fuel consumption for "light duty" vehicles (passenger cars and small trucks) for several years. Let x be the number of years since 1985, so that x = 5 stands for 1990 and so forth. Year Fuel Economy (mpg) 1990 16.9 1995 17.7 2000 18.3 (a) Find the linear regression model for these data. What does the slope in the regression model represent? 2005 18.9 (b) Use the linear regression model to predict the country's average fuel economy for light duty vehicles in the year 2035. 2010 19.6 (a) Find the linear regression model for these data. Choose the correct answer below. (Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.)