Prof. Siegel Student Name: Spring 2020 Semester Student Telephone Number: Statistics for Social ​Sciences​ – Section FE Examination 1 (30 points/30 points = 100%) ● Please answer each question on the...

It's a short quiz with 5 questions


Prof. Siegel Student Name: Spring 2020 Semester Student Telephone Number: Statistics for Social ​Sciences​ – Section FE Examination 1 (30 points/30 points = 100%) ● Please answer each question on the examination sheets (by the space provided below each exam problem). ● Additional worksheets follow each examination sheet for the corresponding exam problem. Please note the worksheets is used if you need additional space to answer questions and/or to show work for the problem. ● Please state formulas and work in order to receive the maximum credit for a problem. ● Scientific calculators (not cell phone calculators) are utilized for this examination. ● This particular exam is an open book test. Please submit your completed exam on or before May 7, 2020. My e-mail address is ssiegel@touro. Thank you. 1) Is the sign (positive or negative) of the slope for the regression equation always the same as the sign of the correlation coefficient? Please give an algebraic reason and a statistical reason for your answer. Include in your discussion the purpose of the correlation coefficient and the slope. [5 points – partial credit] Student Name: Additional Worksheet – ​For Problem #1 Student Name: 2) Given the independent variable x and the dependent variable y. The sample data is as follows: n= 7 sum of the product XY = 8​.​735 sum of X = 1​.​957 sum of each individual of X squared = ​.​553 sum of Y = 30​.​1 a) Find the regression equation to predict the value of Y given a specified value of X. [10 points – partial credit] b) Is there a strong linear correlation between X and Y? Please give a reason for your answer. [1 point] c) In ordered pairs (X, Y) ​X ​is referred to as the independent variable and ​Y​ is referred to as the dependent variable. For regression analysis, state another term for how ​X ​may be referred to and how ​Y​ may be referred to. [1 point each] Student Name: Additional Worksheet -​For Problem #2 Student Name: A gentle reminder- please show work 3a) Given the sample size n = 7 and the sample mean is 73.1 Calculate the sum of the values for the sample. [1 point] 3b) Given the sample size n= 5, ∑ x = 24 and the sample variance = 5.7. ● Calculate the sample standard deviation [1/2 point] ● Calculate the ∑ X^2 (the sum of each individual value of X squared) [1.5 points- no partial credit] Student Name: Additional Worksheet – ​For Problem #3 Student Name: 4) State five properties for the correlation coefficient. Please discuss the meaning of each property stated (in your own words). [1/2 point for each property] Student Name: Additional Worksheet -​For Problem #4 Student Name: 5a) Please give an (original) example of a continuous random variable. [1/2 point] 5b) Please give two (original) examples of a discrete random variable. [1/2 point each] 5c) Given the following discrete probability distribution x P(X=x) 1 20.9 2 21.3 3 24.1 4 19.4 5 ● Calculate P(X =5) [1 point] ● Please state and explain two properties for a discrete probability distribution [2 points each]