(answered) – 1) The average number of people in a family that received welfareDescriptionSolution downloadThe QuestionThis is my last assignment for this quarter so after this my questions will be fewer. I’m actually a nurse and hate (advanced) math. I would only use statistics if I went into management which I do not plan to do :)1) The average number of people in a family that received welfare for various years isgiven below.YearWelfare familysize196919733.619753.219793.019833.019883.019914.02.9Part (a)Using “Year” as the independent variable and “Welfare family size” as the dependent variable, make ascatter plot of the data.Part (b)Calculate the least squares line. Put the equation in the form of:^y= a + bx.(Round your answers to three decimal places.)+x^ =yPart (c)Find the correlation coefficient r. (Round your answer to four decimal places.)r=Is it significant?YesNoPart (d)Find the estimated welfare family size in 1970. (Use your equation from part (b). Round your answer toone decimal place.)peopleFind the estimated welfare family size in 1989. (Use your equation from part (b). Round your answer toone decimal place.)peoplePart (e)Use the two points in part (d) to plot the least squares line.Part (f)Based on the above data, is there a linear relationship between the year and the average number ofpeople in a welfare family?YesNoPart (g)Using the rounded least squares line, estimate the welfare family sizes for 1960 and 1995. (Use yourequation from part (b). Round your answer to one decimal place.)people1960people1995Does the least squares line give an accurate estimate for those years? Explain why or why not.Yes, we can estimate the welfare family size for any year using the least squares line.No, the years are outside the domain of 1969 to 1991.Part (h)Are there any outliers in the above data?Yes, (1969, 4.0) is an outlier.Yes, (1991, 2.9) is an outlier.Yes, (1969, 4.0) and (1991, 2.9) areoutliers.No, there are no outliers.Part (i)What is the estimated average welfare family size for 1984? (Use your equation from part (b). Round youranswer to one decimal place.)peopleDoes the least squares line give an accurate estimate for that year? Explain why or why not.The estimate is not accurate because it is much lower than the observed values in 1983 and 1988.The estimate is not accurate because it does not follow the linear trend.The estimate is accurate because it follows the linear trend of the data set and falls within the domain ofthe data.The estimate is not accurate because it falls outside the domain.Part (j)What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)Interpret the slope.As thedecreases byincreases by one, the.2) The height (sidewalk to roof) of notable tall buildings in America is compared to thenumber of stories of the building (beginning at street level).Height (in feet)10505942829362265294079060401223803814541101127100700Stories46Part (a)Using “stories” as the independent variable and “height” as the dependent variable, make a scatter plot ofthe data.Part (b)Does it appear from inspection that there is a relationship between the variables?YesNoPart (c)Calculate the least squares line. Put the equation in the form of:^ = a + bx.y(Round your answers to three decimal places.)^ =y+xPart (d)Find the correlation coefficient r. (Round your answer to four decimal places.)r=Is it significant?YesNoPart (e)Find the estimated heig
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