ASAP please

3. In a study about measuring the distance between two locations by road (Y) and in a straight line (X), measurements (ci, yi) were made (in miles) for 10 different journeys. The data is summarised by: 10 10 10 10 10 [xi = 174.3; _ y: = 223.9; > >? = 3621.83; _ y? = 6113.59; Ly; = 4686.82, i-1 i- 1 i=1 i-1 i=1 A linear regression model is used to study the relationship of Y on r: Y = a+ BI +c. a. Write down the assumptions about e underlying this model. [1 mark] b. Show that the estimate of the coefficients o and B are -1.018 and 1.343 respectively. [4 marks] c. Interpret the estimates of o and B in the context of the study conducted. [2 marks] d. If the straight-line distance between two locations is 12 miles, how would you use the model to predict the expected distance by road? [2 marks] e. Test at the 5% significance level the hypothesis B * 1, against the null hypothesis B = 1. [6 marks] 4. Data were collected on weight loss following a new exercise programme. The in