1. It was found that the mean scores in algebra (X) and statistics (Y) for a group of students are 80 and 71.72222 and the corresponding standard deviations are 13.39 and 13.08. If the correlation coefficient is approximately -0.5, what could be a likely equation of the equation of best fit?   A. y = 110.65 + 0.49 x   B. y = 110.65 - 0.49 x   C. y = 110.65 x + 0.49   D. y = 110.65 x - 0.49   2. How do you interpret the correlation in this problem?   A. Higher the algebra score, higher is the score in statistics.   B. Higher the algebra score, lower is the score in statistics.   C. Lower the algebra score, lower is the score in statistics.   D. No meaningful conclusion can be made.   3. In order to obtain the line of best fit to predict peak flow rate (l/min) based on height of a person (in cm), the slope is calculated as 4.5 and the intercept as -153.9. What would be the predicted peak flow rate in l/min for a person who is 160 cm tall?   A. 24628.5   B. -24619.5   C. 873.9   D. 566.1

Q: Below is a scatterplot showing the distance between stops on the Coast Starlight Amtrak train from…

A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

Q: what is a quantitative variable that would have a positive correlation with credit scores? That is,…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: A portfolio includes two assets. The portfolio's standard deviation equals to the weighted average…

A: Given data A portfolio includes two assets. The portfolio's standard deviation equals to the…

Q: The correlation between the depth (in feet) and length (in feet) for a sample of caves is found to…

A:

Q: 1. What’s the equation of the line you’d use to predict scores on the final based on scores on the…

A: 1. Let x denote the mid-term scores, and y denote the final scores. The slope for the equation is,…

Q: Consider a certain data set on shoulder girth and height of a group of individuals. The mean…

A: Given that Meanshoulder girth=107.20SDshoulder girth=10.37Meanheight=171.14SDheight=9.41r=0.67

Q: Suppose a gas station monitors how many bags of ice they sell along with the maximum daily…

A: Given that, Let the temperature (X) be independent variable with mean x¯=83.8959oF with a standard…

Q: Data from 10 Western European countries: summary statistics show that the mean percent of teens…

A: Given information: Marijuana use as the explanatory variable(x), other drugs use as the response…

Q: Suppose the mean resting heart rate of females aged 20 is mean = 61, standard deviation = 5…

A: The objective of this question is to compare the fitness levels of a 20-year-old female and a…

Q: Explain why it is true that the slope of a line is related to the Pearson correlation statistic, r

A: The slope is essentially defined as the measured rate of change in the dependent variable, as the…

Q: researcher computes the correlation coefficient r= -0.1389 for an explanatory and response variable.…

A: The correlation coefficient(r)=-0.1389

Q: x = number of traffic tickets y = Cost of auto insurance 0.05 level of significanc the correlation…

A: We have to find correctness of statement.

Q: Among a sample (N = 50) of college basketball players, height (HT) is inversely correlated with…

A: The given correlation is -0.40, the mean and standard deviation are given.

Q: Suppose that a researcher is interested in the possible relationship between the amount of screen…

A: List of formulae : Test statistic : t =rn-21-r2 Where , r is correlation coefficient. r =…

Q: Two chemical companies can supply a raw material. The concentration of a particular element in this…

A:

Q: team

A:

Q: The deaths attributed to UV radiation have a mean of 141.5 with a standard deviation of 92.1.…

A: Mean = 141.5 Standard deviation = 92.1 Raw score = 343

Q: An electronics retailer would like to investigate the relationship between the selling price of a…

A: Given that, An electronic retailer would like to investigate the relationship between the selling…

Q: An electronics retailer would like to investigate the relationship between the selling price of a…

A: The sample correlation coefficient is -0.852.

Q: Achievement 96 94 62 91 77 86 71 59 63 GPA 2.7 3.1 1.6 3.2 3.0 3.8 2.6 3.0 2.2 Achievement 84 98 75…

A: Given Data : X = Achievement Y = GPA 96 2.7 94 3.1 62 1.6 91 3.2 77 3 86 3.8 71 2.6…

Q: Suppose that grades on a midterm and a final exam have a correlation coefficient of 0.5, and both…

A: The least square equation for the predicting grades of final exam on the basis of the grades of the…

Q: In Professor Krugman's economics course, the correlation between the students' total scores prior to…

A: GivenCorrelation between the students total scores prior to the final examination is 0.5The pre-exam…

Q: n Professor Krugman's economics course, the correlation between the students' total scores prior to…

A: Solution: Given information:  Let x= The pre‑exam totals  and  y= The final‑exam scores  r= 0.5…

Q: The mean travel time from one stop to the next on the Coast Starlight Amtrak is 129 minutes, with a…

A: Given information y = Travel time x = distance y̅ = 129 minutes x̅ = 108 miles S.Dy = 113 minutes…

Q: An original population of scores with a mean = 50 and SD = 6 is standardized to create a new…

A: given data  1 represents original population 2 reperesents new distributionμ1 = 50μ2 = 80σ1 = 6σ2 =…

Q: A cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2…

A: We have been given that a cohort of patients have lost on average 23 pounds and the standard…

Q: Please also explain why you determined whether or not the results are statistically significant.  A…

A: From the given information we find the solution.

Q: Suppose you compared 2 independent samples. The first sample contained 10 people, had a mean score…

A: Given that,mean(x)=37.6standard deviation , s.d1=1.5number(n1)=10mean(y)=34.2standard deviation,…

Q: ers correlate? Here are data on the heights (1H IIICIC3) UI Brother 71 68 66 67 70 71 70 73 72 65 66…

A: Let Y denote height of brother X denote height of sister. We have to calculate line of regression…

Q: The denominator of the Pearson correlation coefficient measures the extent to which two factors vary…

A: Pearson correlation -The Pearson coefficient is a type of correlation coefficient  that represents…

Q: Why should one be cautious when interpreting a correlation?

A: Why should one be cautious when interpreting a correlation?

Q: A classic application of correlation involves the association between the temperature and the number…

A: We want to study the relationship between the number of chirps and temperature.  We see from the…

Q: According to the regression equation, for a student who gets 85 on the midterm (one standard…

A: For midterm, it is given that Mean1 = 75, SD1 = 10 For final, it is given that Mean2 = 75, SD2 = 10…

Q: onsider a population that has a score of X = 15 associated with a z-score of +1.50. What does this…

A: Given: X=15  z-score =+1.50

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.