A graduate school committee is studying the relationship between x, an applicants’ undergraduate grade point average and y, the applicants’ score on the graduate entrance exam. The following random sample was collected to study this relationship. a. Write a sentence interpreting the value of the slope of the regression line. b. If a student has a grade point average of 3.5 what does the least-squares line predict for the score on the graduate entrance exam? (Show your calculations.) Is this interpolation or extrapolation? Explain. c. What does the correlation coefficient tell us about the relationship between GPA and graduate entrance exam score? d. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.

Suppose that you are interested in the relationship between Reading and Writing scores. (c)  Compute and interpret the R2 value for the relationship between Reading and Writing scores. (d)  Interpret the value of the slope in the regression model predicting Reading scores from Writing scores. RDG WRTG 34 44 47 36 42 59 39 41 36 49 50 46 63 65 44 52 47 41 44 50 50 62 44 41 47 40 42 59 42 41 47 41 60 65 39 49 57 54 73 65 47 46 39 44 35 39 39 41 48 49 31 41 52 63 47 54 36 44 47 44 34 46 52 57 42 40 37 44 44 33 71 58 47 46 42 33 42 36 47 41 52 54 52 54 39 39 31 41 60 54 47 31 39 28 42 36 47 57 42 49 36 41 50 33 34 34 55 55 28 46 42 42 44 44 60 52 39 57 36 37 44 44 39 42 39 34 42 39 42 44 52 54 65 65 42 26 47 62 52 62 44 54 52 54 47 44 65 57 63 65 60 59 47 44 65 57 53 61 68 63 55 56 39 53 52 52 65 67 52 44 57 67 63…

Is there a relationship between the weight and price of a mountain​ bike? The following data set gives the weights and prices for ten mountain bikes. Let the expanatory variable x be the weight in pounds and the response variable y be the​ bike's price.   Weight​ (LB) 32 33 29 29 34 37 28 30 34 30   Price​ ($) 980 350 430 710 930 160 590 530 180 1090     a. Construct a scatterplot. Interpret. b. Find the regression equation. Interpret the slope in context. Does the​ y-intercept have contextual​ meaning? c. You decide to purchase a mountain bike that weighs 33 pounds. What is the predicted price for the​ bike? a. Which scatterplot below correctly shows the​ data?     A.       254001200xy         A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A cluster of plotted points that form a line that falls from left to…

A car dealership would like to develop a regression model that would predict the number of cars sold per month by a dealership employee based on the​employee's number of years of sales experience. The accompanying regression output was developed based on a random sample of employees.   a. Predict the sales next month for an employee with 2.5 years of experience.   The predicted sales is 8.6 cars.   b. Compute the coefficient of determination and interpret its meaning.   The coefficient of determination is 0.234 ​ ​Therefore, about _________% of the variation in monthly sales is explained by the years of sales experience.   ​(Type an integer or decimal rounded to one decimal place as​ needed.)

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The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is ŷ=27.654+0.29x.   Brand Price Score Bose 180 76 Scullcandy 160 73 Koss 85 64 Phillips/O'Neill 70 57 Denon 80 50 JVC 45 26   a. Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use α=0.05 b.  Show the ANOVA table for these data. Round your answers to three decimal places (and p-value to 4 decimal places), if necessary. Do not round intermediate calculations.