Calculate the regression equation Y on X from the following data : Y 30 40 35 38 40 35 36 42 29 30
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A: To find the regression equation for the given dataset. Sample size (n) = 8
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- You are given the following data, where X1 (final percentage in science class) and X2 (number of absences) are used to predict Y (standardized science test score in fourth grade): Y X1 X2 480 98 415 95 2 345 70 375 88 3 310 61 5 420 80 2. 400 82 465 92 2. 370 75 4 300 65 7 410 72 1 350 78 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a = Partial slope X1: bı = Partial slope X2: b %3D Report sum of squares and coefficient of multiple determination accurate to 3 decimal places: R SSTotal Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places): F-ratio = P-value = Report the variance of the residuals accurate to 3 decimal places: MSres Report the test statistics for the regression coefficients accurate to 3 decimal places: t1 = t2 %3DThe following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a set of newborn babies at a local hospital. Birth Weight (in Pounds), x Answer Length (in Inches), y Birth Weights and Lengths 10 7 21 18 7 4 12 7 10 3 1 17 12 12 16 21 19 22 15 21 20 Copy Data Step 2 of 2: Predict the length of an 8-pound baby. Assume the regression equation is appropriate for prediction. Round your answer to two decimal places necessary. Tables Keyboard SListed below are the heights (cm) of winning presidential candidates and their main opponents from several recent presidential elections. Find the regression equation, letting president be the predictor (x) variable. Find the best predicted height of an opponent given that the president had a height of 188 cm. How close is the result to the actual opponent height of 175 cm? President Opponent 178 177 188 188 191 175 185 183 188 180 183 188 173 169 173 177 185 175 The regression equation is y= 223 + (-0.245) x. (Round the y-intercept to the nearest integer as needed. Round the slope to three decimal places as needed.) The best predicted height of an opponent given that the president had a height of 188 cm is (Round to one decimal place as needed.) cm.
- Listed below are the heights (cm) of winning presidential candidates and their main opponents from several recent presidential elections. Find the regression equation, letting president be the predictor (x) variable. Find the best predicted height of an opponent given that the president had a height of 177 cm. How close is the result to the actual opponent height of 183 cm? President Opponent 191 188 175 192 185 188 177 183 188 169 188 173 180 177 175 183 185 173 A The regression equation is y= 203 + ( -.137) x. (Round the y-intercept to the nearest integer as needed. Round the slope to three decimal places as needed.) The best predicted height of an opponent given that the president had a height of 177 cm is cm. (Round to one decimal place as needed.)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 58 inches. Is the result close to the actual weight of 572 pounds? Use a significance level of 0.05. Chest size (inches) 46 57 53 41 40 40 Weight (pounds) 384 580 542 358 306 320 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=nothing+nothingx (Round to one decimal place as needed.)Find the slope (b1) for the regression equation for the following values. Round to 3 decimal places. Define Variables xi yi 33 180 25 170 50 200 65 201 57 160 27 165
- For each of the following data sets: plot the data, determine the regression equation, and add the graph of the regression to the graph.Find the slope (b1) for the regression equation for the following values. Round to 3 decimal places. Define Variables xi yi 33 180 25 170 50 200 65 186 57 160 27 165The 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 40 inches. Is the result close to the actual weight of 352 pounds? Use a significance level of 0.05. Chest size (inches) *Weight (pounds) 44 54 328 528 41 55 39 51 418 580 296 503 Click the icon to view the critical values of the Pearson correlation coefficient r. - What is the regression equation? x (Round to one decimal place as needed.)
- In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. Number of years, x 4 4 3 6 2 7 3 Grades on test, y 61 68 75 82 73 90 58 93 72 滷 O A. =6.910x+46.261 O B. y = 46.261x+6.910 OC. v=6.910x-46.261 OD. O D. y = 46.261x -6.910 Fi St 5e AssigAn instructor asked a random sample of eight students to record their study times at the beginning of a course. She then made a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. The table is given below. Complete parts (a) through (f). x 10 13 10 18 6 15 16 21 y 93 79 81 74 85 81 85 80 a. Find the regression equation for the data points. b. Graph the regresson equation c. Describe the apparent relationship between the two variables. d. Identify the predictor and response variables. e. Identify outliers and potential influential observations. f.Predict the score for a student that studies for 17 hours.A cafe company wants to determine how the money they spend on Google ads impacts their monthly revenue. Over 6 consecutive months, they vary the amount they spend on their Ads (in $) and record the associated revenue (in $) for each month. The data is shown below: l Revenue 50 427 75 472 100 467 125 529 150 518 175 543 A) Develop a regression equation for predicting monthly revenue based on the amount spent with Ads. What is the y-intercept? B) What is the sample correlation between these two variables? C) What is the slope of your regression equation? Give your answer to two decimal places. D) Using a 0.05 level of significance, does this regression equation appear to have any value for predicting revenue based on Ads?