Consider the following scenario to answer the questions below: Researchers would like to determine, for adults, if there is a linear relationship between number of hours of sleep obtained per night...

Question 4,5 and 6Consider the following scenario to answer the questions below:<br>Researchers would like to determine, for adults, if there is a linear relationship between number of<br>hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that<br>will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the<br>questions, the following data was obtained:<br>Chapte Weight<br>Hours of Sleep<br>Weight<br>Hours of Sleep<br>143<br>5.25<br>109<br>8.75<br>Sen<br>135<br>6.55<br>131<br>7<br>140<br>4<br>109<br>122<br>6.3<br>122<br>7.75<br>121<br>7.15<br>112<br>8.75<br>122<br>7<br>133<br>7.2<br>130<br>5<br>115<br>8.<br>The 138<br>4.35<br>112<br>9.<br>W146<br>3.5<br>120<br>8.5<br>121<br>8.11<br>106<br>9.25<br>1. Is this a Simple, Multiple, or Multivariate model? Explain.<br>2. What are the dependent and independent variables?<br>3. Is the relationship between the variables linear?<br>4. If appropriate, estimate the weight for someone who gets 6.5 hours of sleep per night. Interpret the<br>estimate.<br>5. If appropriate, estimate the weight for someone who gets 1 hour of sleep per night. Interpret the<br>estimate<br>6. Find and interpret a 95% confidence interval for how the average weight changes for a one hour<br>increase in sleep per night.<br>7. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per<br>night is obtained.<br>8. Find and interpret a 95% prediction interval for the weight of a person who gets 6.5 hours of sleep<br>per night.<br>9. Find and interpret the correlation coefficient.<br>10. Find and interpret the coefficient of determination.<br>

Extracted text: Consider the following scenario to answer the questions below: Researchers would like to determine, for adults, if there is a linear relationship between number of hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the questions, the following data was obtained: Chapte Weight Hours of Sleep Weight Hours of Sleep 143 5.25 109 8.75 Sen 135 6.55 131 7 140 4 109 122 6.3 122 7.75 121 7.15 112 8.75 122 7 133 7.2 130 5 115 8. The 138 4.35 112 9. W146 3.5 120 8.5 121 8.11 106 9.25 1. Is this a Simple, Multiple, or Multivariate model? Explain. 2. What are the dependent and independent variables? 3. Is the relationship between the variables linear? 4. If appropriate, estimate the weight for someone who gets 6.5 hours of sleep per night. Interpret the estimate. 5. If appropriate, estimate the weight for someone who gets 1 hour of sleep per night. Interpret the estimate 6. Find and interpret a 95% confidence interval for how the average weight changes for a one hour increase in sleep per night. 7. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per night is obtained. 8. Find and interpret a 95% prediction interval for the weight of a person who gets 6.5 hours of sleep per night. 9. Find and interpret the correlation coefficient. 10. Find and interpret the coefficient of determination.
Jun 07, 2022
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