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- The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean x1 15 158.42 158.72 158.42 3.127 0.807388 x2 15 65.95 66.45 65.95 1.091 0.281695 x3 15 187.23 186.63 187.23 4.171 1.076948 Variable Minimum Maximum Q1 Q3 x1 124 174 135.828 166.400 x2 41 80 47.088 77.579 x3 124 244 142.885 223.525 Correlations (Pearson) x1 x2 x2 0.829 x3 0.860 0.661 Regression Analysis The regression equation is x1 = 0.837 + 1.120x2 + 0.928x3 Predictor Coef StDev T P…QUADRATIC REGRESSION 2) Road & Track provides the following sample tire wear and maximum load capacity for automobile tires. (IMG 1) A. Find the coefficient of determination. comment on it B. Find the equation of the regression parabola and calculate the estimated data for each value of the independent variable. C. Determine the residual variance, the standard error of estimate, and the explained variance. comment themWeight (lbs.) 173 184 194 214 168 220 188 188 207 167 217 Systolic Blood Pressure 132 143 153 162 154 168 137 149 159 128 1 1. The sample correlation coefficient is _____________
- The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 170 10 151 14 171 18 160 22 172 26 179 30 130 Но: р %3D 0 Ha: p = 0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is O Less than (or equal to) a O Greater than aFirst Paired Data Set 4 10 13 11 19 21 36. Use the First Paired Data Set. Find the correlation coefficient r. A. 0.862 B. 0.943 C. 0.725 D. 0.6071. Compare the appropriate measure of center based on the shapes of the distributions. Explain your choice.2. Compare the appropriate measure of variability based on the shapes of the distributions. Explain your choice. 3. Which company is better to work for if you are an average worker?
- The following data represent the daily supply and the unit price for a product. Compute and interpret the sample correlation coefficient. Daily Supply (y) Unit Price (x) 5 2 7 4 9 8 12 5 10 7 13 8 16 16 16 6The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places. Ticket Price Attendence 6. 109 10 114 14 139 18 142 22 139 26 132 30 154 Но: = 0 На: р Find the Linear Correlation Coefficient r = Find the p-value p-value = %3D The p-value is Less than (or equal to) a Greater than a The p-value leads to a decision to Reject Ho Аcсept Ho Do Not Reject Ho The conclusion is There is a significant linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance. There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance.X, absences Y, final grade 4. The data below are the number of absences, x, and the final grades, y, of 9 randomly selected students from a MTH 119 class. Construct a scatterplot of the data. 0 99 4 58 7 51 5 82 9 71 geyerinstructional.com 3 92 16 55 1 5 76 5 82
- The data given below are the amount of export (x in 00 million taka) of fish and amount of export (y in 00 million of taka ) in different years. X у 7 10 17 22 1. Calculate 13 12 14 16 15 24 25 28 37 40 correlation coefficient of x and y and comment. 2. Test the significance of correlation at 5% level of significance and commentJames Trucking is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its destination. To investigate, Mr. James, the manager of the company selected a random sample of 20 shipments made last month. Shipping distance is the independent variable, and shipping time is the dependent variable. The results are as follows: Shipment Distance (miles) Shipping Time (days) 1 656 5 2 853 14 3 646 6 4 783 11 5 610 8 6 841 10 7 785 9 8 639 9 9 762 10 10 762 9 11 862 7 12 679 5 13 835 13 14 607 3 15 665 8 16 647 7 17 685 10 18 720 8 19 652 6 20 828 10 Is the relationship between shipping distance and shipping time significant, if the level of significance is 5%? What is the standard error? The standard error is ; The relationship between…A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been effective. The accompanying table shows the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign starts. Assume that the data from each population is Normally distributed. Complete parts a through i below. A. Are the data paired? Explain. B. Compute the mean difference C. Compute the standard deviation of the differences. D. Compute the standard error of the mean difference. E. Find the value of the t-statistic. F. How many degrees of freedom does the t-statistic have? G. Is the alternative one- or two-sided? Explain. H. What is the P-value associated with this t-statistic? Assume that the other assumptions and conditions for inference are met.