**Exploring the Relationship Between Tuition Costs and Mid-Career Salaries**Does the higher cost of tuition translate into higher-paying jobs? The table provided lists 10 colleges based on mid-career salary and the associated yearly tuition costs.| Yearly Tuition (in thousands of dollars) (x) | Mid-career Salary (in thousands of dollars) (y) ||----------------------------------------------|------------------------------------------------|| 18 | 93 || 25 | 125 || 14 | 80 || 25 | 129 || 8 | 70 || 12 | 82 || 7 | 73 || 13 | 128 || 16 | 69 || 23 | 143 |- **x (Yearly Tuition):** 18, 25, 14, 25, 8, 12, 7, 13, 16, 23- **y (Mid-career Salary):** 93, 125, 80, 129, 70, 82, 73, 128, 69, 1431. **Find the best fit line for the data.** $ y = \_\_ + \_\_x $2. **Graph the scatter plot of the data together with the best fit line using R.** (This portion of the problem is not graded.)3. **Predict the mid-career salary of a student attending a college with an annual tuition of $19,000.** $ \$ \_\_ \text{ thousand} $**Instructions:** Complete the table analysis and provide predictions based on the given data for a comprehensive understanding of how tuition may impact future earnings.

Given The data is as follows: x: 18,25,14,25,8,12,7,13,16,23 y: 93,125,80,129,70,82,73,128,69,1431. x y x×y x2 y2 18 93 1674 324 8649 25 125 3125 625 15625 14 80 1120 196 6400 25 129 3225 625 16641 8 70 560 64 4900 12 82 984 144 6724 7 73 511 49 5329 13 128 1664 169 16384 16 69 1104 256 4761 23 143 3289 529 20449 Sum 161 992 17256 2981 105862 x¯=∑i=1nxin=16110=16.1 y¯=∑i=1nyin=99210=99.2 SSXX=∑i=1nxi2-∑i=1nxi2n=2981-161210=388.9 SSYY=∑i=1nyi2-∑i=1nyi2n=105862-992210=7455.6 SSXY=∑i=1nxiyi-∑i=1nxi∑i=1nyin=17256-161×99210=1284.8 Computing slope,m m=SSXYSSXX=1284.8388.9=3.3037 Computing y-intercept n=y^-x^×m=99.2-16.1×3.3037=46.0108 The line of best fit is as follows: y=46.0108+3.3037x 2. The scatter plot with the line of best is created using R as shown below: Code Output3. x=19(in thousands of dollars) y=46.0108+3.3037×19=108.7811 The mid-career salary of a student attending a college with an annual tuition of $19 thousand is $108.7811 thousand.