New Bank (NB) believes that there is a relationship between the kilometres (KM) travelled by its customers and the charges on their cards (CC). The bank collected the data given in Table NB Table NB Dollars (USS'00) 18 Kilometres ('00) 12 24 15 20 12
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- Assume that you have collected cross-sectional data for average hourly earnings (ahe), the number of years of education (educ) and gender of the individuals (you have coded individuals as "1" if they are female and "0" if they are male; the name of the resulting variable is DFemme). Having faced recent tuition hikes at your university, you are interested in the return to education, that is, how much more will you earn extra for an additional year of being at your institution. To investigate this question, you run the following regression: ahe= -4.58 + 1.71×educ N = 14,925, R2 = 0.18, SER = 9.30 a. Interpret the regression output. b. Being a female, you wonder how these results are affected if you entered a binary variable (DFemme), which takes on the value of "1" if the individual is a female, and is "0" for males. The result is as follows ahe= = -3.44 - 4.09×DFemme + 1.76×educ N = 14,925, R2 = 0.22, SER = 9.08 Does it make sense that the standard error of the regression decreased…What are the criteria and steps needed to take to asses the degree in which an independent variable causes changes observed in the dependant variable?Records for the last 15 years have shown that the average rainfall in a certain region of the country, for the month of March, to be 1.20 inches, with s = 0.45 inches. A second region had an average rainfall of 1.35 inches, with s = 0.54. estimate the difference of the true average rainfalls in those two regions as a 95% C.I. with the assumption of normal populations and unequal variances.
- A trucking company considered a multiple regression model for relating the dependent variable of total daily travel time for one of its drivers (hours) to the predictors distance traveled (miles) and the number of deliveries of made. After taking a random sample, a multiple regression was performed and the output is given below. Interpret the slope of the deliveries variable. When deliveries increases by 0.805 units, time increases by 1 hour, holding all other variables constant. 2) We do not have enough information to say. 3) When deliveries increases by 1 unit, time decreases by 0.805 hours, holding all other variables constant. 4) When deliveries decreases by 1 unit, time increases by 0.805 hours, holding all other variables constant. 5) When deliveries increases by 1 unit, time increases by 0.805 hours, holding all other variables constant.Suppose you are interested in the percentage of students who had burrito for lunch in your statistics class. There are a total of 120 students in your class. Instead of asking each student whether they had burrito for lunch, you randomly picked 36 students from the class and found that 11 students had burrito for lunch. Calculate a single value to estimate the parameter of interestA researcher finds a correlation of r x y = + 0.40 with a sample of n = 25 bi-variate observations. Given a null hypothesis of H0: ρ x y = 0 and α = 0.05 , the researcher should: cant tell from the information given reject the null hypothesis fail to reject the null hypothesis
- The chairman of the marketing department at a university undertakes a study to relate starting salary (dependent variable) measured in thousands of dollars to grade point average (GPA) which is the independent variable. He receives the following result: GPA Starting salary 3.26 33.8 2.60 23.8 3.35 33.5 2.86 30.4 3.82 39.4 Calculate the regression line. Test if the independent variable has a significant effect on the dependent variable at u=o.l. Calculate the multiple coefficient of determination and interpret it in words.uppose IQ scores were obtained from randomly selected couplescouples. For 2020 such pairs of people, the linear correlation coefficient is 0.8900.890 and the equation of the regression line is ModifyingAbove y with caret equals negative 0.74 plus 1.02 xy=−0.74+1.02x, where x represents the IQ score of the husbandhusband. Also, the 2020 x values have a mean of 101.17101.17 and the 2020 y values have a mean of 102.7102.7. What is the best predicted IQ of the wifewife, given that the husbandhusband has an IQ of 9999? Use a significance level of 0.05. The best predicted IQ of the wifewife is nothing. (Round to two decimal places as needed.A chi square test tells us: a. Whether two continuous variables are correlated with each other. b. Whether two discrete variables are independent of each other c. The amount of variation in one variable explained by the other d. Which categories of one variable are associated with which categories of the other variable
- Suppose the entering freshmen at a certain college have a mean combined SAT score of 1231 with a standard deviation of 122 In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.47 How do i find the regression line using the equationAfter performing a statistical regression on a set of data the value of the correlation coefficient r was -0.2041. What does that imply about the data?PSOHS had administered an IQ level test to 15 randomly selected G11 students. And the result they found from that was the average IQ level score was 110 with a variance of 35. Assume that the t score is 2.365. What is the population mean for this test, which would justify t score value as 2.365.