2.1 Mariana, a researcher at the World Health Organisation (WHO), collects information on weekly study hours (HOURS) and blood pressure when writing a test (BLOOD) from a sample of university students across the country, before running the regression BLOOD = f(STUDY). She collects data from 5 students as listed below: X (STUDY) 1 2 3 4 8 Y (BLOOD) 140 128 125 123 90 2.1.1 By using the OLS method and the information above derive the values for parameters B₁ and B2. 2.1.2 Derive the RSS and TSS (sum of squares for the residuals). 2.1.3 Hence, calculate the correlation coefficient

The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars 124 143 158 160 196 Number of Bids 12 13 15 16 20 Table   Step 2 of 6 :  Find the estimated y-intercept. Round your answer to three decimal places.

8. You collect data on people's height and study the relationship between gender and height. A regression of the height on a binary variable (Female), which takes a value of one for females and zero otherwise, yields the following result: Height = 71.0- 4.84 x Female, R2 = 0.40, SER = 2.0 (0.3) (0.57) (a) What is the sample average male height? (b) What is the sample average female height? I (c) How to interpret the slope coefficient -4.84? (d) Is the error term in the regression more likely to be heteroskedastic or homoscedastic? Why? R English (United States) D'Focus Page 9 of 10 920 words 100%

Ride services are on the rise, such as Uber and Lyft. You wondered if the recent news reports of crime occurring with these ride services impacted the usage of them, especially with women. You decide to conduct  a survey about ride service usage among male and female college students. The results showed that 19 males use ride services and 11 do not. While 12 females use ride services and 18 do not. Calculate the chi-square statistic:

The value of PRESS for five different regression models are A = 42.3, B = 47.4, C = 51.5, D =40.6, and E = 54.6. Based only on this statistic, which model is preferred?

There is a dataset of size n = 51 and is for the 50 states and the District of Columbia in the United States. The dependent variable is year 2002 birth rate per 1000 females 18 to 19 years old and independent variable is the violent crime rate (per 1000 population). A simple linear regression model is run with the results given below. What is the Pearson correlation coefficient between x and y variables? The R squared of the model? What kind of relationship there is?

Please show work in Excel.