**Instructions:** In the next question, you will use the data in the table to find the median fit regression line. To begin, you will need to find the sample size and determine the group sizes.| Car | Weight | Miles Per Gallon ||-----|--------|------------------|| 1 | 2200 | 33 || 2 | 4400 | 19 || 3 | 3200 | 26 || 4 | 4700 | 17 || 5 | 2300 | 37 || 6 | 2700 | 32 || 7 | 4100 | 22 || 8 | 3700 | 26 || 9 | 2500 | 33 || 10 | 3500 | 28 |1. **What is the sample size?** [Text box: 33]2. **How many cars should be in the Low, Medium, and High groups?** (Hint: Divide the sample size by 2. If there is a remainder, add... [text is cut off]) **Medians and Regression Analysis****Medians:**Using the methods previously described, the medians of each group were found to be:- **Low:** (____, ____)- **Medium:** (____, ____)- **High:** (____, ____)Use these points to find the equation of the median fit regression line.**Slope:**What is the slope of the median regression line?\[m = \frac{y_H - y_L}{x_H - x_L} = \text{______} \, \text{(Round to the nearest hundredth.)}\]**Y-Intercept:**What is the y-intercept of the median regression line?\[b = \frac{(y_L - mx_L) + (y_M - mx_M) + (y_H - mx_H)}{3}\]Calculation:\[b = \frac{(33 - (-0.01)(2300)) + (27 - (-0.01)(3350)) + (19 - (-0.01)(4400))}{3}\]\[b \approx \text{______} \, \text{(Round to the nearest hundredth.)}\]**Regression Line:**The equation of the median regression line is:\[ y = \text{______}x + \text{______} \]

Linear Model: A statistic that describes the relationship between the response variance and the descriptive variance in the change value. Generally, a line model is to measure a line in a data area to be more relevant to all points in the data. Median regression Line: It is calculated by dividing the database into three equal parts equally and finding the media for each group and calculating the slope and breaking it down using the formula specified in the question. 1) Sample size is 10. 2) It is said that symmetry should be well held, so by dividing the data into at least 3 and very high 3 and in the middle 4 it holds symmetry, and the set of data is divided into 3 groups. Therefore, Low: There are 3 cars in this set. {(2200,33), (2300,19), (2500,26)} Medium: There are 4 cars in this set. {(2700,17), (3200,37), (3500,32), (3700,22)} High: There are 3 cars in this set. {(4100,26), (4400,33), (4700,28)}3) The median is calculated by ordering the data set in the ascending order and taking the intermediate term of the data set. If there are odd numbers it means the middle word in (n + 1) / 2th term. If there are even numbers, the average of the two middle terms should be considered median. Here, Low: Weight of Miles / Gallons2200 332300 192500 26Median Weight is XL = 2300, Median for Miles per Gallon is YL = 26. Medium : Weight of Miles / Gallons2700 173200 373500 323700 22The Medians say, XM = 3200 + 35002 = 67002 = 3350; YM = 22 + 322 = 542 = 27 High : Weight Miles / Gallons4100 264400 334700 28 Medians are Xh = 4400; Yh = 28.Slope : m = YH-YLXH-XL = 28-264400-2300 = 22100 = 0.000952 The slope of median regression line is 0.000952, the approximate value of slope is 0.001. Y- Intercept : b = (YL-mXL) + (YM-mXM) + (YH-mXH) 3 = 28-0.001 × 2300 + 27-0.001 × 3350 + 28-0.001 × 44003 = (26-2.190476) + (27-3.6. 1904) + (27-3.6.1904)) + (28-4.190476) 3 = 23.80952 + 23.80952 + 23.809523 = 23.80952 Therefore, the Y- Intercept of median regression line is 23.80952, the approximate value of Y- intercept line is 23.81. Therefore, using the slope and Y- intercept the cimedian regression line is y ^ = 0.001x + 23.81. This regression line is calculated using median data, and the slope and intercept are rounded to your decimal points. Here, it is y^ the predicted value of Miles per gallon, and X is the Weight of the car.As per guidelines we are supposed to answer one answer once. Please post the other question again so that I will be happy to answer you question again. Thank you