A set of n = 15 pairs of scores (X & Y values) produces a regression equation of Y = 3X + 8. Find the predicted Y value for each of the following X scores: 1, 2, 3, and 6.

The data show the chest size and weight of several bears. Find the regression​ equation, letting chest size be the independent​ (x) variable. Then find the best predicted weight of a bear with a chest size of 4141 inches. Is the result close to the actual weight of 273273 ​pounds? Use a significance level of 0.05.   Chest size​ (inches) 4040 5353 3838 4343 4444 5858   Weight​ (pounds) 227227 360360 153153 206206 234234 414414   LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r.       Question content area bottom Part 1 What is the regression​ equation?   ModifyingAbove y with caretyequals=enter your response hereplus+enter your response herex ​ (Round to one decimal place as​ needed.) Part 2 What is the best predicted weight of a bear with a chest size of 4141 ​inches?   The best predicted weight for a bear with a chest size of 4141 inches is enter your response here pounds. ​(Round to one…

The table below shows the average weekly wages​ (in dollars) for state government employees and federal government employees for 10 years. Construct and interpret a 98% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is​ $878.The equation of the regression line is y=1.342x+55.816. Wages [state]- 712, 746, 786, 803, 841, 879, 918, 926, 954, 979 Wages [federal]- 1,024, 1,048, 1,098, 1,135, 1,195, 1,240, 1,270, 1,299, 1,340, 1,376 Construct and interpret a 98​% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $878. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to the nearest cent as​ needed.)     PICK THE CORRECT ANSWER [A] We can be 98​% confident that when the average weekly wages of state government employees is $878​, the average weekly wages of…

The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is ŷ= -0.556x+217.766. Use the data to answer the following questions. (a) Find the coefficient of determination, 12, and interpret the result. (b) Find the standard error of the estimate, Se, and interpret the result. 213 213 223 226 259 266 281 202 210 205 226 207 259 239 D Goals Allowed, x Points, y 109 109 102 91 88 80 52 105 107 98 95 85 68 66 (a)² = (Round to three decimal places as needed.) Interpret the coefficient of determination. Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) OA. About OB. About (b) Se = % of the variation in points earned can be explained by the relationship between number of goals allowed and points earned. The remaining variation is unexplained. % of the…

The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The following data shows the sweetness of the same type of fruit at different locations (sunshine hours). Fit the data to a simple linear regression model. x: 5, 6, 7, 6, 6, 8, 7, 5. y: 9, 10, 10, 11, 12, 13, 12, 8. Predict the true mean sweetness for average daily hours of 8 hours, and calculate the residual for average daily sunshine hours of 8 hours.

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 = 0.991x + 1,222.81. Complete parts (a) and (b) below. New-vehicle sales (Company A), x New-vehicle sales (Company B), y 4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 2,066 4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 2,754 (a) Find the coefficient of determination and interpret the result. r² = r2 = 0.821 (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 Company B that can be 2 explained by the variation in new-vehicle sales for Company A and is represented by The remaining fraction of the variation, 1-2, is unexplained and is due to other factors or to sampling error. s (b) Find the standard error of estimates and interpret the result. Se O (Round to three decimal…

A set of n =25 pairs of scores (X and Y values) produces a regression equation of Ŷ = 3X – 6. Find the predicted Y value for each of the following X scores: 0 = 1 = 3 = -3 =

The applet displays a scatterplot with the following points: (7,10),(27,35),(24,25),(8,12),(10,19),(15,22). Identify the slope of the regression line, intercept of the regression line, and correlation coefficient. Report your answers accurate to within two decimal places.

The accompanying data are the caloric contents and the sugar contents​ (in grams) of 11 ​high-fiber breakfast cereals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. If the x-value is not meaningful to predict the value of​ y, explain why not.  Calories, x         Sugar, y 140                      6 200                     10 160                      6 160                      9 170                     10 180                     16 190                     13 210                     18 190                     19 170                     10 170                     10   The equation of the regression line is ŷ =  ______ x + ______ ​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)      (a) x = 150 cal,  ​ (b) x = 90 cal,   (c) x = 175 cal,   ​(d) x = 208 cal…

The table shows the number of goals allowed and the total polints earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is y= -0.573x+220.523. Use the data to answer the following questions. (a) Find the coefficient of determination, , and interpret the result. (b) Find the standard error of the estimate, s and interpret the result. Goals Allowed, x Polnts, y 209 205 220 226 261 266 275 201 214 204 224 201 263 244 D 111 108 100 97 84 82 44 107 105 95 92 86 67 69 (0) ? =D (Round to three decimal places as needed.) Interpret the coefficient of determination. Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. About % of the variation in number of goals allowed can be explained by the relationship between number of goals allowed and points eamed. The remaining variation is unexplained. O B. About % of the…