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3. A friend tells you about a house whose Size in square meters (he’s European) is 1.5 standard deviations above the mean. What would you guess about its Size in square feet?
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- A newspaper advertisement in the Straits Times of Singapore contained pictures of diamond rings and listed their prices, diamond weight (in carats), and gold purity. Based on data for only the 20-carat gold ladies’ rings in the advertisement, the least-squares regression line for predicting price (in Singapore dollars) from the weight of the diamond (in carats) is: price = 259.63 + 3721.02 carats What does the slope of this line say about the relationship between price and number of carats?arrow_forwardThe price of video games often starts high when initial demand is high and then decreases as time goes on. A scatterplot of data collected for a sample of games suggests a linear model is reasonable, and analysis produced a correlation coefficient of -0.78. What percent of the variation in price remains unexplained by this linear model?arrow_forwardThe line of best fit is the line that minimizes the total of all the squared residuals true or false?arrow_forward
- Describe about the Linearity as correlation coefficient assumption.arrow_forwardDescribe about how to place a regression line?arrow_forwardhe table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars 23 26 37 41 47 Number of Bids 1 2 4 5 6 Table Copy Data Step 1 of 6 : Find the estimated slope. Round your answer to three decimal places.arrow_forward
- Please help me better understand word problem and how to properly solve Many high school students take either the SAT or the ACT. However, some students take both. Data were collected from 100 students who took both college entrance exams. The average SAT score was 920 with a standard deviation of 170. The average ACT score was 20 with a standard deviation of 5. The correlation coefficient r between these two variables equals 0.82. To predict the SAT score from a student’s ACT score, what is the equation of the least-squares regression line?arrow_forwardIn a study of cars that may be considered classics (all built in the 1970s), the least-squares regression line of mileage (in miles per gallon) on vehicle weight (in thousands of pounds) is calculated to be mileage = 45 – 7.5 weightThe mileage for a small Chevy is predicted to be 22 miles per gallon. What was the weight (lbs) of this car? Please show work of calculationsarrow_forwardA therapist named Dr. Brown specializes in adolescent anxiety and has been collecting information about the frequency of all clients' anxiety symptoms (a higher number means more frequent symptoms) and comparing them using z-scores. Alex has a z-score of 1.6. What can we infer about Alex's frequency of anxiety symptoms?arrow_forward
- The Average final score was 78, the average midterm score was 80. The standard deviation for the average final midterm score was 4.5 and the standard deviation for the average midterm score was 5.5. The correlation coefficient is 0.76 Find the least squares regression line. Supposed that wanted to find to predict the final exam score based the midterm scorearrow_forwardIn a study conducted by University of Arizona researchers, the total weight (in pounds) of garbage discarded in one week and the household size were recorded for 62 households. The linear correlation coefficient is r = 0.759 and the regression equation is y ^= 0.445 + 0.119x, where x represents the total weight of discarded garbage. The mean of the 62 garbage weights is 27.4 pounds and the 62 households have a mean size of 3.71 people. What is the best predicted number of people in a household that discards 50 pounds of garbage?arrow_forwardWrite short note on regression line?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill