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- Consider the set of points (0,9),(1,5),(6,3) and (9,2). In this set of points, the age of a dolphin is the first part of each ordered pair and the second part is the number of tricks that the dolphin learned in a month. So, the 6 year-old dolphin learned 3 tricks in the month. Write the least squares regression line for this data. Use the line to estimate how many tricks a 4 year-old dolphin could learn. Then find r and r2. Explain what r2 means.In the simple linear regression model, if there is a very strong correlation between the independent and dependent variables, then the correlation coefficient should be a) close to either -1 or +1 b) close to zero c) close to -1 d) close to +1 ( don't hand writing solution)A student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week, x, and grade-point average, y. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is y = - 0.0506x + 2.9361. ... (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is. (Round to the nearest hundredth as needed.)
- The least-squares regression equation is y=761.7x+13,208 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7483. Predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree.The following gives the number of accidents that occurred on Florida State Highway 101 during the last 4 months: Month Jan Feb Mar Apr Number of Accidents 25 45 70 95 Using the least-squares regression method, the trend equation for forecasting is (round your responses to two decimal places): y = 0 + 23.5 x Using least-squares regression, the forecast for the number of accidents that will occur in the month of May = accidents (enter your response as a whole number).The least-squares regression equation is y=647.8x+17,858 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7507. predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree. Round to the nearest dollar as needed.
- The following gives the number of accidents that occurred on Florida State Highway 101 during the last 4 months: Month Jan Feb Mar Apr Number of Accidents 25 48 70 90 Using the least-squares regression method, the trend equation for forecasting is (round your responses to two decimal places): y = Using least-squares regression, the forecast for the number of accidents that will occur in the month of May = accidents (enter your response as a whole number).State whether the statement is true, false or uncertain and explain the answers chosen. (a). The ordinary least squares approach can be used to estimate the logit. (b). The problem of whether being a female has an effect on earnings could be analyzed using the probit and logit estimation. (C). The Akaike's information criterion is useful for only non nested modelsConsider the following population model for household consumption: cons = a + b1 * inc+ b2 * educ+ b3 * hhsize + u where cons is consumption, inc is income, educ is the education level of household head, hhsize is the size of a household. Suppose a researcher estimates the model and gets the predicted value, cons_hat, and then runs a regression of cons_hat on educ, inc, and hhsize. Which of the following choice is correct and please explain why. A) be certain that R^2 = 1 B) be certain that R^2 = 0 C) be certain that R^2 is less than 1 but greater than 0. D) not be certain
- A student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week, x, and grade-point average, y. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is y= -0.0552x+2.9446. (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is. (Round to the nearest hundredth as needed.) Enter your answer in the answer box and then click Check Answer. 3 parts remaining Clear All Check Anr acer 久 & % %24A student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week, x, and grade-point average, y. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is y = -0.0552x +2.9446. (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is 2.50 (Round to the nearest hundredth as needed.) (b) Interpret the slope. For each additional hour that a student spends playing video games in a week, the grade-point average will by points, on average. increase decrease Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Check Answer P Type here to search TOUC Panasonic CF-54 ED 10 F8 #5 F6 F3 8. 2 FOA F1 Es & 7 0 8 8 99 2 A2 10 161 1 A1 Y 15 + 1/ ID 4圣 %U4 12The least-squares regression equation is y=620.6x+16,624 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7004. In a particular region, 28.3 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $37,389. Is this income higher than what you would expect? Why?
