An independent variable X is considered highly correlated with the other independent variables if VIESS
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- Summarize the definitions for linear correlation, quadratic correlations and exponential correlations. Provide an example graph of each of the types of correlation along with your summarized definitions.For each pair of quantities, decide if the correlation coefficient would be close to 1, close to -1, or not be close to 1 or -1. Part: 0/4 Part 1 of 4 (a) The number of hours a student spends studying and the score on that student's exam. The correlation coefficient would be close to 1 Part: 1/4 Part 2 of 4 Part: 2/4 X (b) The number of hours a student spends studying and the number of letters in that student's name. The correlation coefficient would be close to -1 Part 3 of 4 X Ś X Ś (c) The number of hours an overweight person spends exercising and that person's weight. The correlation coefficient would be close to 1 5The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040 Indicate if any of the independent variables could be eliminated at the
- A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades. Can one conclude that this positive correlation shows a causal relationship? OYes, because it is well known that less sleep lowers test scores OYes, because it is not a negative correlation O No, because all students get less than 8 hours of sleep at night No, because it is possible that the student gets lower test grades because of another factor, such as not studyingA 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 variablehow can i calculate
- Data was gathered on the amount of rainfall X (in inches) for the last 5 years to analyze if the amount of rainfall X (in inches) could be used to predict the acorn output Y (in tons) for a group of oak trees. Researchers expect the the acorn output to increase linearly with the increase in rainfall amount. That is, they are specifically interested in testing if the correlation between the rainfall and the acorn output is positive (i.e.: ) . When the necessary conditions are satisfied, under the null hypothesis, test statistic for above test Group of answer choices follows a t distribution with degrees of freedom (n-1) follows a chi-square distribution with degrees of freedom (n-1) follows a t distribution with degrees of freedom (n-2) follows a standard normal distribution. follows a chi-square distribution with degrees of freedom (n-2)Range of ankle motion is a contributing factor to falls among the elderly. Suppose a team of researchers is studying how compression hosiery, typical shoes, and medical shoes affect range of ankle motion. In particular, note the variables Barefoot and Footwear2. Barefoot represents a subject's range of ankle motion (in degrees) while barefoot, and Footwear2 represents their range of ankle motion (in degrees) while wearing medical shoes. Use this data and your preferred software to calculate the equation of the least-squares linear regression line to predict a subject's range of ankle motion while wearing medical shoes, ?̂ , based on their range of ankle motion while barefoot, ? . Round your coefficients to two decimal places of precision. ?̂ = A physical therapist determines that her patient Jan has a range of ankle motion of 7.26°7.26° while barefoot. Predict Jan's range of ankle motion while wearing medical shoes, ?̂ . Round your answer to two decimal places. ?̂ = Suppose Jan's…In a sample there are 3 male dogs and 3 female dogs. These dogs are couples such that the weight of the ith dog, and the Fi measures the weight of the ith dogs girlfriend. The correlation between M and F is exactly 1 and when the data points are graphed the slope of them are 1. Is it possible for some of these dogs to weight more than their female couple, while other dogs weight less then their female couple? And is it possible that all of the male dogs have couple female dogs that are all shorter than them?
- The marketing research department of a large company knows that the company's monthly sales are influenced by the way in which it spends money on marketing. For example, monthly expenditures such as the ones listed below are known to have an effect on y, the company's total monthly sales (in millions of dollars). X 1 = money spent on television advertising (in 1000's of dollars) X2 = money spent on promotion (i.e., free samples) X3 money spent on newspaper advertising (in 1000's of dollars) = average discounts offered to retail outlets (in %) Using data from the previous 16 months, the company decides to collect data on 2 of the independent variables to use in a multiple regression model for estimating monthly sales. If the R for this model is 0.81, fill in the missing entries in the ANOVA table associated with this model. Do all calculations to at least three decimal places.The marketing research department of a large company knows that the company's monthly sales are influenced by the way in which it spends money on marketing. For example, monthly expenditures such as the ones listed below are known to have an effect on y, the company's total monthly sales (in millions of dollars). x = money spent on television advertising (in 1000's of dollars) X2 = money spent on promotion (i.e., free samples) x3 = money spent on newspaper advertising (in 1000's of dollars) X = average discounts offered to retail outlets (in %) Using data from the previous 26 months, the company decides to collect data on 3 of the independent variables to use in a multiple regression model for estimating monthly sales. If the R´ for this model is 0.5, fill in the missing entries in the ANOVA table associated with this model. Do all calculations to at least three decimal places. Source of variation Degrees of freedom Sums of Mean F statistic squares squares Regression Error Total 4+Which of the following sets of data represent valid functions? OS = {(0, – 1), (3, 1), (6, 4), (7, 9), (13, 14)} || OF = {(- 3, – 2), (1, 2), (1, 4), (8, 9), (13, 15)} OR = {(-1, - 2), (2, 1), (4, 5), ( – 1, – 2), (10, 13)} | OG = {(- 4, - 5), (2, 3), (4, 5), (9, 8), (14, 10)} Calculator Check Answer MacBook Air
