The line of best fit and the correlation coefficient are calculated for a set of data. The value of the correlation coefficient is r= 0.10. What is the strength and type of the correlation for this data? a) weak and positive b) strong and negative c) strong and positive d) weak and negative
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- What is the coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear correlation? Interpret your answer. Choose the correct answer below. O A. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or 0, respectively. This means 100% of the variation in the response variable is explained by the variation in the explanatory variable. O B. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or - 1, respectively. In either case the coefficient of determination is 1, which means 100% of the variation in the response variable is explained by the variation in the explanatory variable. O C. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or - 1, respectively. In either case the coefficient of determination is 1, which means 0% of the…ASSESSMENT Direction: Read, analyze and answer the following problems below. Show all necessary solutions. 1. The data below show the age and systolic blood pressure of six randomly selected subjects. Compute for the correlation coefficient and interpret the results. Age (x) Pressure (y) 43 48 56 61 67 70 128 120 135 143 141 152use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? FORECAST AND ACTUAL TEMPERATURES The table lists actual high temperatures and the high temperatures that were previously forecasted for these same days. The table includes data for ten different days near the author’s home. What does the result suggest about the accuracy of five-day predicted high temperatures?
- Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. Click to view the data on shoe print lengths and heights. Construct a scatterplot. Choose the correct graf Shoe Print Lengths versus Heights of Males O B. OD. 210- 200- 190- 180- 170- 160- 20 24 28 32 36 40 Shoe Print Length (cm) 210 200 190 180 170 160 2101 200- Shoe Print 190- Length (cm) Height (cm) 176.0 180- 170- 160- 20 24 28 32 36 40 31.4 28.9 181.2 31.5 194.5 Shoe Print Length (cm) 32.3 172.9 30.4 174.0 The linear correlation coefficient is r= 32.9 190.5 (Round to three decimal places as needed.) 31.0 176.6 30.8 170.0 30.5 171.9 32.3 175.5 30.5 200.1 32.6 199.3…1. A medical student is studying heart rate. The student wants to know if there relationship between age and heart rate. She collects the following data from children selected at random. Heart rate Age (yrs) 92 89 90 84 79 102 108 12 86 14 a) Make a scatter plot of the data. b) Describe the relationship(positive, negative and none) you see between heart rate and age and determine the type of correlation (linear or non-linear) that exists. Relationship Туре» c) Draw a line of best fit. d) What do you think is the heart rate of a newborn baby? Justify your answer. e) What do you think is the heart rate of someone who is 20 years old? What type of prediction is this?The table list chest sizes and weights of anesthetized bears. Chest (in). 49 35 41 41 63 57 Weight (Ib) 348 166 320 262 390 290 Compute the correlation coefficient, r.
- 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 aJim and Larry run a soup stand. The data below represents the sales of soup that they had on 8 randomly selected days, along with the high temperature on that day. a) Create a scatter diagram for this data set and comment on whether there is a positive or negative relationship between these variables.b) Calculate the correlation coefficient between temperature and sales.c) Does a linear relationship exist between these variables? Explain to me why or why not this is the case.d) Using excel, calculate the least squares regression equation for this data set. e) Using your equation, predict the soup sales on a day where the temperature is 29 degrees.f) Interpret the slope of this equation.g) Can we use this data set and regression equation to predict the sales on a day when the average temperature is 102 degrees? Why or why not?h) What is the R-squared for this equation? How do you interpret that R-squared?Dr. Wabld Hamdy given by the following table: y X-4 -2 2 4 --2 0 0.25 0 0 -100 0.25 1 0.25 00 0 2 0.25 0 Find the correlation coefficient between X and Y llu mad and imported automobiles sold
- èstion 1 Provide an appropriate response. In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient. 173 79 122 | 105 53.5 142 | 205 85.4 522 349 Rainfall (in inches), x 15.1 12 8.7 17.7 Yield (bushels per acre), y O 0.900 O 0.981 O 0.998 49.2 618 62 818 O 0.899 A Moving to another question will save this response. Question 1 of 20>> 11:33 AM (ゆッ 5/19/2021 PrtSen Home PgUP End E D B AltAn aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 30 40 50 60 Maximum heart rate 170 168 153 147 136 (y beats per minute) Find the linear correlation coefficient for the data.A local store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Week 1 2 3 4 5 6 7 8 Advertisements, x 7 5 4 2 8 5 5 3 Stereos Sold, y 23 15 12 8 2 7 9 6 a) Create a scatter plot for the data showing Advertisements Vs. Stereos Sold. b) Determine the value of r, the correlation coefficient for the set of data and classify the type of correlation. c) What does this correlation coefficient suggest about the effectiveness of the advertisements? Explain