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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- For the data in the table, find the regression equation and then use it to answer the questions below. Here, x gives a student's annual family income (in $1000's), and y is the student's SAT score. Round the slope and y-intercept to two decimals, then do not round your answer. Income SAT ($1000's) Score 62 940 66 950 75 960 77 980 78 990 79 1010 82 1020 86 1080 90 1090 100 1100 a. What is the predicted score for a student whose annual family income is $115,000? 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 meaningfulFind 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 Test score, y 38 Find the regression equation. 2 3 3 4 6 45 50 49 61 68 0 (a) x = 2 hours (c) x = 15 hours (b)x=4.5 hours (d) x=2.5 hours y = X + (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)The file Galton on D2L contains the 928 observations Francis Galton used in 1885 to estimate the relationship between the heights of parents and the heights of their children. The column Children refers to the height (in inches) of a child, and the column Mid-Parents refers to the average height (in inches) of the mother and father of that child. You can download this file into Excel and Minitab. a. Calculate the regression Height of Children = a +b (Height of Mid-Parents). b. Calculate the average for Height of Children, and calculate the average Height of Mid-Parents. c. Create a new variable in Minitab which is the Height of Children measured in terms of deviations from its mean. Call this new variable y. Also, create a new variable in Minitab with is the Height of Mid-Parents measured in terms of deviations from its mean. Call this new variable x. Calculate the regression y = a + bx. You can create the new y and x variables in Excel of Minitab, whichever you find more convenient.…
- b. Find the equation of the regression line for the minutes the actor appeared shirtless in a film and the film's opening weekend gross. y = ___x + ____(Round to two decimal places as needed)For the data in the table, find the regression equation. Here, x gives the age (in months) of a specific baby, and y is the baby's weight (in pounds). Round the slope and y-intercept to two decimals, then use your equation to answer the questions below. Age Weight (months) (pounds) 9. 7. 11 11 13 13 21 14 22 19 31 20 32 21 35 23 37 24 39 a. At what rate (in pounds per month) is the baby growing? b. What was the baby's approximate weight at birth?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 165Use linear regression on your calculator to find the equation of the linear function that best fits this data. 1 3 4 5 6 y 84 110 139 170 180 222 = mx + b. Round all numbers to 2 decimal Hint: Write your final answer as an equation in the form y places.Use the given data set to answer parts (a) and (b). a. Find the regression equation for the data points. b. Graph the regression equation and the data points. a. Find the regression equation for the data points. G (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) X 5 y - 1 4 1 1 -1 3 2 2 4 Q
- 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 121An 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.Use 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=
