Calculate the value of the coefficient of determination and interpret this value in the context of the problem. (Round 4 decimal places)

Can you help me answer iv, v, and vi using R please? my answers for i,ii, and iii can be seen below. Thank you!   1. Researchers found that the speed of a prey (twips/s) and the length of prey (twips x 100) are good predictors of the time (s) required to catch a prey. (A twip is a measure of distance used by programmers). Data were collected in an experiment in which subjects were asked to "catch" an animal prey moving across his or her computer screen by clicking on it with the mouse. The investigators varied the length of the prey and the speed with which prey moved across the screen. ```{r}prey <- read.csv("https://www.siue.edu/~jpailde/prey.csv")prey```   i) Fit a multiple regression model for predicting catch time using prey length and speed as predictors.    ii) Construct 95\% confidence interval for the regression slopes of each predictor. Interpret your result. Will the interpretation change if you change the confidence level to 90\% and 99\%?    iii) Predict the catch time…

Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year's graduates. Size of donation Proportion of calls 0.40 $0 0.30 0.25 Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but declined to make a donation and for those who were not reached in three attempts. Consider the variable x = amount of donation for a person selected at random from the population of last year's graduates of this university. (a) Write a few sentences describing what donation amounts you would expect to see if the value of x was observed for each of 1,000 graduates. to donate $25, and roughly $10 $25 $50 (c) What is P(x ≥ 25)? You would expect roughly of the graduates to donate nothing, roughly frequencies would be close to, but not exactly, these values. The four frequencies would add to (d) What is P(x > 0)? 0.05 (b) What is the most…

Step 6 of 6 :  Find the value of the coefficient of determination. Round your answer to three decimal places.   completion percentage 56 57 58 64 65  interception percentage 4.5 4 3 2.5 1.5