Please note that this question consists offive parts. However, you MUST show all the mathematical work/explanation to following questions. Just giving the answer without adequate work/explanation may result in zero for the question.

Text messaging is not something invented within recent years. People send text messages everyday for numerous reasons. It is common belief that older people send longer texts but less frequently and younger generations send short texts frequently.

With the intension of testing this hypothesis, a research group has collected data from 27 randomly chosen people . Collected data include two variables:

• text: Number of text messages sent day before the data was collected.
• age: age of the subject.

You may use the MINITAB output provided below to answer the following questions:

Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 61.66 3.65 16.91 0.000 age -1.550 0.136 1.00 Model Summary S R-sq R-sq(adj) R-sq(pred) 2.76380 83.85% 83.21% 81.42% Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression 991.70 991.701 129.83 0.000 age 1 991.70 991.701 129.83 0.000 Error 25 190.97 7.639 Lack-of-Fit 11 126.22 11.474 2.48 0.056 Pure Error 14 64.75 4.625 Total 26 1182.67Figure C Probability Plot of RESI Normal - 95% CI 99 Mean -2 23689E-15 SiDev 2.710 95 N 27 AD 0.219 90 P-Value 0.819 80 Percent . . .. 10 5 RESIFigure A Scatterplot of text vs age 25 text 20 15 10 20 22 24 26 28 30 32 34 age Figure B Versus Fits (response is text) 7.5 . 5.0 2.5 Residual 0.0 2.5 10 20 30 35 15 25 Fitted Value