Need help with the following questions, this was a statistics course mixed into R programming language, provide an explanation and also R code if necessary.

Linear Regression and Correlation Question 1 (1 point) Which of the following statements is FALSE about the following R code and its output? > cor . test (mtcars $mpg, mtcars $wt) Pearson's product-moment correlation data: mtcars$mpg and mtcars$wt t = -9. 559, df = 30, p-value = 1. 294e-10 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: -0. 9338264 -0. 7440872 sample estimates: cor -0. 8676594 The covariance is equal to -9.559 The correlation coefficient lies in the range [-0:9338264, -0.7440872] with 95% confidence. As the weight of a car (wt) increases, its mpg decreases The correlation is significantQuestion 11 (1 point) Find the area of the coloured region under the following standard normal curve (From -2 to 0). O0.523 O 0.477 0.687 O 0.233Question 13 (1 point) The probability of a continuous normal random variable X is being less than or equal (under the default properties) to a certain value is calculated by: Ornorm() Opnorm() O qnorm() O dnorm()Question 15 (1 point) People's monthly utility bills in Toronto are normally distributed with a mean of $225 and a standard deviation of $55. Those people spend a lot of time online. In a group of 500 customers, how many would we expect to have a bill that is $100 or less? 0 dnorml99. 225, 55) * 500 Q rnorml99, 225, 55} Q pnormuoo, 225, 55) O pnormllDO, 225, 55) "' 500 Question 8 {1 point) Rsquared statistical measure represents the proportion of the _________ in the variable that is explained by the ________ variable. 0 variance; dependent; independent 0 mean; independent; dependent O variance: independent; dependent 0 mean; dependent; independent