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The least-squares regression equation is I); = 853.0x + 10,602 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 coefcient of 0.8146. Complete parts (a) through (d). Median Income 'I5 20 25 30 35 40 45 50 55 60 Bachelor's% (a) Predict the median income of a region in which 30% of adults 25 years and older have at least a bachelor's degree. $|:| (Round to the nearest dollar as needed.) Is there a relation between the age difference between husband/wives and the percent of a country that is literate? Researchers found the least-squares regression between age difference (husband age minus wife age), y, and literacy rate (percent of the population that is literate), x, is = - 0.0437x + 8.1. The model applied for 17 5x5 100. Complete parts (a) through (e) below. (a) Interpret the slope. Select the correct choice below and ll in the answer box to complete your choice. For every unit increase in literacy rate, the age difference falls by IE units, on average. (Type an integer or decimal. Do not round.) n r 3 0.997 4 0.950 0.878 0.811 0.754 0.707 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444The following data represent the number of calories per serving and the number of grams of sugar per serving for a random sample of high-fiber cereals. Complete parts (a) through (d) below. 201 + Calories, x 210 240 170 190 180 sugar Sugar, y 18 13 14 16 12 50 250 calories Click the icon to view the table of critical values of the correlation coefficient. (a) A scatter diagram of the data is shown. What type of relation appears to exist between calories and sugar content? A. There appears to be little or no relationship between calories and sugar content. O B. There appears to be a strong nonlinear relationship between calories and sugar content. O C. There appears to be a strong linear relationship between calories and sugar content. (b) Determine the correlation coefficient between calories and sugar content. The correlation coefficient is (Type an integer or decimal rounded to three decimal places as needed.)