PLEASe explain it properly how we can do these types of questions

A random sample of 113 logs felled at a specialty timber plantation has been selected to study diversity of undergrowth and timber quality. Some of the variables recorded for each log are listed below.

Variable	Description
subid	Subject ID
timber	wood species
numSpecies	number of different species of plant observed in the undergrowth within 30m of the tree
usable	the percentage of the log producing usable timber

A simple linear regression is run to answer the research question, 'What is the relation between the percentage of the log producing usable timber and number of different species of plant observed in the undergrowth within 30m of the tree?' The results of the analysis are reported below:

 Estimate Std. Error t value Pr(>|t|) (Intercept) 41.6420 2.2430 18.5650 0 numSpecies 0.5897 0.0607 9.7079 0

Using the output presented above, and assuming as necessary that all test assumptions are verified, predict the value of the percentage of the log producing usable timber when number of different species of plant observed in the undergrowth within 30m of the tree is 17.8. Report your answer with at least 3dp

A random sample of 130 married or de facto couples in the Sydney region has been selected to study non-verbal communication. An experiment was conducted requiring the subject to guess words shown to the partner, without any verbal communication. Some of the variables recorded for each couple are listed below.

Variable	Description
subid	Subject ID
sex	sex of guesser
years	the length of the relationship (in years)
percentage	the percentage of correct guesses

A simple linear regression is run to answer the research question, 'What is the relation between the percentage of correct guesses and the length of the relationship (in years)?' The results of the analysis are reported below:

 Estimate Std. Error t value Pr(>|t|) (Intercept) 41.4605 2.2607 18.3398 0 years 0.6205 0.0616 10.0665 0

Using the output presented above, and assuming as necessary that all test assumptions are verified, predict the value of the percentage of correct guesses when the length of the relationship (in years) is 28.7. Report your answer with at least 3dp.

Answer is 52.139 (Question1)

Answer is 59.269 (Question 2)