Find the intercept (b0) for the regression equation for the following values. Round to 3 decimal places. Intercept xi yi 33 180 25 170 50 200 65 172 57 160 27 165
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Find the intercept (b0) for the regression equation for the following values. Round to 3 decimal places.
Intercept
xi | yi |
---|---|
33 | 180 |
25 |
170 |
50 | 200 |
65 | 172 |
57 | 160 |
27 | 165 |
X | Y |
33 | 180 |
25 | 170 |
50 | 200 |
65 | 172 |
57 | 160 |
27 | 165 |
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- Given the data points listed below, use linear regression to find the expression y = %3D mx + b. List the slope of the best-fit line in the box below (round to one digit past the decimal point). y 2 2 3 15 5 14 8 55 |13 68 15 121In 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.
- The table shows the approximate chirping rate at various temperatures for one type of cricket. Use the linear regression feature on a graphing calculator to determine an equation of the line that best fits the data. Round to the hundredths. ⒸEncikAn/Shutterstock.com X Temperature (°F) 50 60 70 80 100 Chirps per Minute 20 80 115 150 250Give the equation of the regression line: -913.2969+0.4808years(y) a) Plug an actual x value into the equation and discuss the difference between the real y and the predicted yb) Discuss the domain of your datac) Include the scatterplot with line of best fitUse the data in the table below to complete parts (a) through (d). x 37 34 40 46 42 50 62 56 51 y 22 20 25 32 27 30 30 25 28 Find the equation of the regression line. y=
- Please answer with explanation. I will really upvoteFor the data in the table, find the regression equation and then use it to answer the questions below. Here, x gives the number of years of experience for nurses, and y is their annual salary (in $1000's). Round the slope and y-intercept to two decimals, then do not round your answer. Years of Salary Experience ($1000's) 2 41 4 45 8 51 9. 52 12 53 14 54 16 55 18 56 19 57 25 60 a. What is the predicted salary (in $1000's) for a nurse with 33 years of work experience? b. Is your answer to part (a) an extrapolation? O No: the value of x is within the range of the data, so the prediction is meaningful O Yes: the value of x is outside the range of data, so the prediction may not be meaningful Submit QuestionUsing the weights (Ib) and highway fuel consumption amounts (mi/gal) of the 48 cars listed in the accompanying data set, one gets this regression equation: y = 58 9-0.00749x, where x represents weight Complete parts (a) through (d). Click the icon to view the car data. 東 b. What are the specific values of the slope and y-intercept of the regression line? O A. The slope is 58.9 and the y-intercept is 0.007499. B. The slope is -0.00749 and the y-intercept is 58.9. O C. The slope is 58.9 and the y-intercept is -0.00749. O D. The slope is 0.00749 and the y-intercept is 58.9. c. What is the predictor variable? O A. The predictor variable is highway fuel consumption, which is represented by x. B. The predictor variable is weight, which is represented by x. O C. The predictor variable is weight, which is represented by y O D. The predictor variable is highway fuel consumption, which is represented by y. d. Assuming that there is a significant linear correlation between weight and highway fuel…
- Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.For the data in the table, find the regression equation. Here, x gives the number of years of experience for nurses, and y is their annual salary (in $1000's). Round the slope and y-intercept to two decimals, then use your equation to answer the questions below. Years of Salary Experience ($1000's) 40 4 42 43 45 10 46 13 52 15 53 17 56 21 58 22 60 a. What is the expected salary (in $1000's) for a nurse with no work experience? b. By what amount (in $1000's) does an extra year of experience boost the annual salary?